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We review the first modern singularity theorem, published by Penrose in 1965.
de Sitter W 1917 On the relativity of inertia: Remarks concerning Einstein’s latest hypothesis Proc. K. Ak. Amsterdam
1917
Earlier work this paper cites.
de Sitter W 1917 On the curvature of space Proc. K. Ak. Amsterdam
1917
Earlier work this paper cites.
Einstein A 1917 Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie Sitzungsber. Preuss. Akad. Wiss. phys.-math
1917
Earlier work this paper cites.
Kottler, F 1918 Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie, Ann. Phys
1918
Earlier work this paper cites.
Lanczos K 1922 Bemerkungen zur de Sitterschen Welt Physikalische Zeitschrift
1922
Earlier work this paper cites.
Lanczos K 1923 Über die Rotverschiebung in der deSitterschen Welt Zeitschrift für Physik
1923
Earlier work this paper cites.
Weyl H 1923 On the General Relativity Theory Physikalische Zeitschrift
1923
Earlier work this paper cites.
Eddington A S 1924 A comparison of Whitehead’s and Einstein’s formulae Nature
1924
Earlier work this paper cites.
Chandrasekhar S 1931 The maximum mass of ideal white dwarfs Astrophysical Journal
1931
Earlier work this paper cites.
Einstein A 1939 On a stationary system with spherical symmetry consisting of many gravitating masses Annals of Mathematics
1939
Earlier work this paper cites.
Oppenheimer J R and Snyder H 1939 On continued gravitational contraction Phys. Rev
1939
Earlier work this paper cites.
Oppenheimer J R and Volkoff G M 1939 On massive neutron cores Phys. Rev
1939
Earlier work this paper cites.
Einstein A 1941 Demostración de la no existencia de campos gravitacionales sin singularidades de masa total no nula Revista de la Universidad Nacional de Tucumán
1941
Earlier work this paper cites.
Galvano M and Giribet G 2005 The particle problem in classical gravity: a historical note on 1941, Eur. J. Phys
1941
Earlier work this paper cites.
Einstein A and Pauli W 1943 On the non-existence of regular stationary solutions of relativistic field equations, Ann. of Math
1943
Earlier work this paper cites.
Einstein A and Straus E G 1945 The influence of the expansion of space on the gravitation fields surrounding the individual stars Rev. Mod. Phys
1946
Earlier work this paper cites.
Gödel K 1949 An example of a new type of cosmological solution of Einstein’s field equations of gravitation Reviews in Modern Physics
1949
Earlier work this paper cites.
Hayward S A 1996 Gravitational energy in spherical symmetry Phys. Rev. D
1949
Earlier work this paper cites.
Gödel K 1952 Rotating universes, in Proc. Int. Cong. Math
1952
Earlier work this paper cites.
Leray J 1952 Hyperbolic Differential Equations
1952
Earlier work this paper cites.
Bizon P, Malec E and Ó Murchadha N 1990 Binding energy for spherical stars Class. Quantum Grav
1953
Earlier work this paper cites.
Raychaudhuri A K 1955 Relativistic Cosmology I Phys. Rev
1955
Earlier work this paper cites.
Komar A 1956 Necessity of singularities in the solution of the field equations of General Relativity Phys. Rev
1956
Earlier work this paper cites.
Raychaudhuri A K 1957 Singular State in Relativistic Cosmology Phys. Rev
1957
Earlier work this paper cites.
Finkelstein D 1958 Past-Future Asymmetry of the Gravitational Field of a Point Particle, Phys. Rev
1958
Earlier work this paper cites.
Kruskal M D 1960 Maximal Extension of Schwarzschild Metric Phys. Rev
1960
Earlier work this paper cites.
Sachs R K 1961 Gravitational Waves in General Relativity. VI. The Outgoing Radiation Condition Proc. R. Soc. London Ser
1961
Earlier work this paper cites.
Bondi H, van der Burg M G J and Metzner A W K 1962 Gravitational waves in general relativity: VII. Waves from axi-symmetric isolated systems Proc. R. Soc. A
1962
Earlier work this paper cites.
Newman E T and Penrose R 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys
1962
Earlier work this paper cites.
Kerr R P 1963 Gravitational field of a spinning mass as an example of algebraically special metrics Phys. Rev. Lett
1963
Earlier work this paper cites.
Lifshitz E M and Khalatnikov I M 1963 Investigations in relativistic cosmology, Advances in Phys
1963
Earlier work this paper cites.
Lifshitz E M and Khalatnikov I M 1963 Problems of relativistic cosmology, Sov. Phys. Uspekhi
1963
Earlier work this paper cites.
Misner C W 1963 The flatter regions of Newman, Unti, and Tamburino’s generalized Schwarzschild space J. Math. Phys
1963
Earlier work this paper cites.
Penrose R 1963 Asymptotic properties of fields and space-times. Phys. Rev. Lett
1963
Earlier work this paper cites.
Penrose R 1964 Conformal treatment of infinity, in Relativity Groups and Topology
1964
Earlier work this paper cites.
Shepley L C 1964 Singularities in spatially homogeneous, dust filled, cosmological models Proc. Nat. Acad. Sci
1964
Earlier work this paper cites.
Dicke P H, Peebles P J E, Roll P G and Wilkinson D T 1965 Cosmic blackbody radiation Ap. J. 142
1965
Earlier work this paper cites.
Hawking S W 1965 Occurrence of singularities in open universes Phys.Rev. Lett
1965
Earlier work this paper cites.
Hawking S W and Ellis G F R 1965 Singularities in homogeneous world models Phys. Lett
1965
Earlier work this paper cites.
Misner C W 1965 Taub-NUT as a counterexample to almost anything, Thechnical Report, University of Maryland 529
1965
Earlier work this paper cites.
Penrose R 1965 A remarkable property of plane waves in General Relativity Rev. Mod. Phys
1965
Earlier work this paper cites.
Penrose R 1965 Gravitational collapse and space-time singularities Phys. Rev. Lett
1965
Earlier work this paper cites.
Penzias A A and Wilson R W 1965 A measure of excess antenna temperature at 4080 Mc/s, Ap. J
1965
Earlier work this paper cites.
Carter B 1966 Complete analytic extension of the symmetry axis of Kerr’s solution of Einstein’s equations. Phys. Rev
1966
Earlier work this paper cites.
Doroshkevich A G, Zel’dovich Ya B and Novikov I D 1966 Gravitational collapse of nonsymmetric and rotating masses Soviet Phys
1966
Earlier work this paper cites.
Eisenhart L P 1966 Riemannian Geometry
1966
Earlier work this paper cites.
Geroch R P 1966 Singularities in closed universes Phys. Rev. Lett
1966
Earlier work this paper cites.
Hawking S W 1966 Singularities in the Universe Phys. Rev. Lett
1966
Earlier work this paper cites.
Hawking S W 1966 The occurrence of singularities in Cosmology. I. Proc. Roy. Soc. London
1966
Earlier work this paper cites.
Hawking S W 1966 The occurrence of singularities in Cosmology. II. Proc. Roy. Soc. London
1966
Earlier work this paper cites.
DeWitt B S 1967 Quantum Theory of Gravity. I. The Canonical Theory Phys. Rev
1967
Earlier work this paper cites.
Gautreau R and Anderson J L 1967 Directional singularities in Weyl gravitational fields Phys. Lett
1967
Earlier work this paper cites.
Geroch R P 1967 Topology in general relativity J. Math. Phys
1967
Earlier work this paper cites.
Hawking S W 1967 The Occurrence of Singularities in Cosmology. III. Causality and Singularities Proc. Roy. Soc. London
1967
Earlier work this paper cites.
Kronheimer E H and Penrose P 1967 On the structure of causal spaces Proc. Camb. Phil. Soc
1967
Earlier work this paper cites.
Geroch R P 1968 Local characterization of singularities in general relativity J. Math. Phys
1968
Earlier work this paper cites.
Geroch R P 1968 What is a singularity in general relativity? Ann. Phys
1968
Earlier work this paper cites.
Hawking S W 1968 The Existence of Cosmic Time Functions Proc. Roy. Soc. London
1968
Earlier work this paper cites.
Hawking S W and Ellis G F R 1968 The cosmic black-body radiation and the existence of singularities in the Universe Ap. J
1968
Earlier work this paper cites.
Penrose R 1968 Structure of space-time, In Batelle Rencontres
1968
Earlier work this paper cites.
Stachel J 1968 Structure of the Curzon metric Phys. Lett
1968
Earlier work this paper cites.
Penrose R 1969 Gravitational collapse: the role of general relativity, Riv. Nuovo Cimento
1969
Earlier work this paper cites.
Belinskii V A, Khalatnikov E M and Lifshitz E M 1970 Oscillatory approach to a singular point in relativistic cosmology Adv. in Phys
1970
Earlier work this paper cites.
Geroch R P 1970 Domain of dependence J. Math. Phys
1970
Earlier work this paper cites.
Hawking S W and Penrose R 1970 The singularities of gravitational collapse and cosmology Proc. Roy. Soc. London
1970
Earlier work this paper cites.
Carter B 1971 Causal structure in space-time Gen. Rel. Grav
1971
Earlier work this paper cites.
Geroch R P 1971 Space-time structure from a global viewpoint, In General Relativity and Cosmology
1971
Earlier work this paper cites.
Gowdy R.H. 1971 Gravitational waves in closed universes Phys. Rev. Lett
1971
Earlier work this paper cites.
Schmidt B G 1971 A New definition of singular points in general relativity Gen. Rel. Grav
1971
Earlier work this paper cites.
Seifert H-J 1971 The causal boundary of space-times Gen. Rel. Grav
1971
Earlier work this paper cites.
Belinskii V A, Lifshitz E M and Khalatnikov E M 1972 On a general cosmological solution of the Einstein equations with a time singularity Zh. Eksp. Teoret. Fiz
1972
Earlier work this paper cites.
Geroch R P, Kronheimer E H and Penrose R 1972 Ideal points in space-time Proc. Roy. Soc. London
1972
Earlier work this paper cites.
Gibbons G W 1972 Time-symmetric initial value problem for black holes Commun. Math. Phys
1972
Earlier work this paper cites.
Hawking S W 1972 Black holes in general relativity Commun. Math. Phys
1972
Earlier work this paper cites.
Penrose R 1972 Techniques of Differential Topology in Relativity
1972
Earlier work this paper cites.
Schmidt B G 1972 The local b-completeness of space-times Commun. Math. Phys
1972
Earlier work this paper cites.
Thorne K S 1972 Nonspherical Gravitational Collapse - A Short Review, in Magic without Magic: John Archibald Wheeler
1972
Earlier work this paper cites.
Weinberg S 1972 Gravitation and Cosmology
1972
Earlier work this paper cites.
Demni P N and Janis A I 1973 The characteristic development of trapped surfaces, J. Math. Phys
1973
Earlier work this paper cites.
Hawking S W and Ellis G F R 1973 The large scale structure of space-time
1973
Earlier work this paper cites.
Lerner D E 1973 The space of Lorentz metrics, Commun. Math. Phys. 32
1973
Earlier work this paper cites.
Misner C W, Thorne K S, and Wheeler J A 1973 Gravitation
1973
Earlier work this paper cites.
Penrose R 1973 Naked singularities Ann. N. Y. Acad. Sci
1973
Earlier work this paper cites.
Clarke C J S 1975 Singularities in globally hyperbolic space-times Commun. Math. Phys
1975
Earlier work this paper cites.
Gannon D 1975 Singularities in nonsimply connected space-times J. Math. Phys
1975
Earlier work this paper cites.
Ryan M P and Shepley L C 1975 Homogeneous Relativistic Cosmologies
1975
Earlier work this paper cites.
Beem J K 1976 Some examples of incomplete space-times Gen. Rel. Grav
1976
Earlier work this paper cites.
Clarke C J S 1976 Space-time singularities Commun. Math. Phys
1976
Earlier work this paper cites.
Gannon D 1976 On the topology of spacelike hypersurfaces, singularities, and black holes Gen. Rel. Grav
1976
Earlier work this paper cites.
Lee C W 1976 A restriction on the topology of Cauchy surfaces in General Relativity Commun. Math. Phys
1976
Earlier work this paper cites.
Tipler F J 1976 Causality violation in asymptotically flat space-times Phys. Rev. Lett
1976
Earlier work this paper cites.
Clarke C J S and Schmidt B G 1977 Singularities: the state of the art Gen. Rel. Grav
1977
Earlier work this paper cites.
Ellis G F R and Schmidt B G 1977 Singular space-times Gen. Rel. Grav
1977
Earlier work this paper cites.
Jang P S and Wald R M 1977 The positive energy conjecture and the cosmic censor hypothesis J. Math. Phys
1977
Earlier work this paper cites.
Seifert H-J 1977 Smoothing and extending cosmic time functions Gen. Rel. Grav
1977
Earlier work this paper cites.
Thorpe J A 1977 Curvature invariants and spacetime singularities J. Math. Phys
1977
Earlier work this paper cites.
Tipler F J 1977 On the nature of singularities in general relativity Phys. Rev. D
1977
Earlier work this paper cites.
Tipler F J 1977 Singularities and causality violation Ann. Phys. (N.Y.)
1977
Earlier work this paper cites.
Hoenselaers C 1978 Directional singularities reexamined Prog. Theor. Phys
1978
Earlier work this paper cites.
Tipler F J 1978 Energy conditions and space-time singularities Phys. Rev. D
1978
Earlier work this paper cites.
Geroch R P and Horowitz G T 1979 Global structure of space-times, In General Relativity: an Einstein Centenary Survey
1979
Earlier work this paper cites.
Penrose R 1979, Singularities and time asymmetry, in General Relativity: an Einstein Centenary Survey
1979
Earlier work this paper cites.
Schoen R and Yau S T 1979 On the proof of the positive mass conjecture in general relativity Comm. Math. Phys
1979
Earlier work this paper cites.
Chicone C and Ehrlich P E 1980 Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds Manuscripta Math
1980
Earlier work this paper cites.
Tipler F J 1980 Singularities from colliding plane gravitational waves Phys. Rev. D
1980
Earlier work this paper cites.
Tipler F J, Clarke C J S, and Ellis G F R 1980 Singularities and Horizons — A Review Article, In General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein
1980
Earlier work this paper cites.
Barrow J and Tipler F J 1981 Generic singularity studies revisited Phys. Lett. A
1981
Earlier work this paper cites.
Schoen R and Yau S T 1981 Proof of the positive mass theorem. II. Commun. Math. Phys
1981
Earlier work this paper cites.
Unruh W G 1981 Experimental black hole evaporation Phys. Rev. Lett
1981
Cited alongside, same era.
Clarke C J S 1982 Space-times of low differentiability and singulatities J. Math. Anal. Appl
1982
Cited alongside, same era.
Gibbons G W, Hawking S W, Horowitz G T and Perry M J 1983 Positive mass theorems for black holes Commun. Math. Phys
1983
Cited alongside, same era.
Ludvigsen M and Vickers J A G 1983 An inequality relating total mass and the area of a trapped surface in General Relativity J. Phys. A
1983
Cited alongside, same era.
O’Neill B 1983 Semi-Riemannian Geometry: With Applications to Relativity
1983
Cited alongside, same era.
Schoen R and Yau S T 1983 The existence of a black hole due to condensation of matter Commun. Math. Phys
Friedrich H 2002 Conformal Einstein evolution in The conformal structure of space-time
2002
Later among the works it cites.
Senovilla J M M 2002 Trapped surfaces, horizons and exact solutions in higher dimensions, Class. Quantum Grav
2002
Later among the works it cites.
Andersson L and Galloway G J 2003 dS/CFT and spacetime topology Adv. Theor. Math. Phys
2003
Later among the works it cites.
Ashley, M. J. S. L. and Scott, S. M. 2003 Curvature singularities and abstract boundary singularity theorems for space-time, in Recent advances in Riemannian and Lorentzian geometries (Baltimore, MD, 2003)
2003
Later among the works it cites.
Borde A, Guth A H and Vilenkin A 2003 Inflationary spacetimes are incomplete in past directions Phys. Rev. Lett
2003
Later among the works it cites.
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1983
Cited alongside, same era.
Gibbons G W 1984 The isoperimetric and Bogomolny inequalities for black holes, in Global Riemannian Geometry
1984
Cited alongside, same era.
Horowitz G T 1984 The positive energy theorem and its extensions, in Asymptotic behaviour of mass and spacetime geometry
1984
Cited alongside, same era.
Newman R P A C 1984 Persistent curvature and cosmic censorship Gen. Rel. Grav
1984
Cited alongside, same era.
Penrose R and Rindler W, 1984 Spinors and spacetime vol 1.,
1984
Cited alongside, same era.
Wald R M 1984 General Relativity
1984
Cited alongside, same era.
Tod K P 1985 Penrose quasi-local mass and the isoperimetric inequality for static black holes Class. Quantum Grav
1985
Cited alongside, same era.
Choptuik M.W. Hirschmann E.W. Liebling S.L. and Pretorius F. 2003 Critical collapse of the massless scalar field in axisymmetry Phys. Rev. D
2003
Later among the works it cites.
Choptuik M.W. Lehner L. Olabarrieta I. Petryk R. Pretorius F. adn Villegas H. 2003 Towards the final fate of an unstable black string Phys. Rev. D
2003
Later among the works it cites.
Ellis G F R 2003, Cosmological perturbations and singularities, in The future of theoretical physics and cosmology
2003
Later among the works it cites.
Ford L H 2003, The Classical Singularity Theorems and their Quantum Loopholes, Int.J.Theor.Phys
2003
Later among the works it cites.
García-Parrado A and Senovilla J M M 2003 Causal relationship: a new tool for the causal characterization of Lorentzian manifolds Class. Quantum Grav
2003
Later among the works it cites.
Marolf D and Ross S F 2003 A new recipe for causal completions Class. Quantum Grav
2003
Later among the works it cites.
Marolf D and Ross S F 2003 Plane waves and spacelike infinity Class. Quantum Grav
2003
Later among the works it cites.
Mars M and Senovilla J M M 2003 Trapped surfaces and symmetries Class. Quantum Grav
2003
Later among the works it cites.
Penrose R 2003 On the instability of extra space dimensions, in The future of the theoretical physics and cosmology
2003
Later among the works it cites.
Schwarzschild K. 1916 Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie Sitzungsberichte der KÂniglich Preussischen Akademie der Wissenschaften zu Berlin. Phys. Math
2003
Later among the works it cites.
Stephani H, Kramer D, MacCallum M A H, Hoenselaers C and Herlt E, Exact Solutions to Einstein’s Field Equations, 2nd ed. (Cambridge University Press, Cambridge, 2003)
2003
Later among the works it cites.
Uggla C, van Elst H, Wainwright J and Ellis G F R 2003 Past attractor in inhomogeneous cosmology Phys. Rev. D
2003
Later among the works it cites.
Ashtekar A and Krishnan B 2004, Isolated and dynamical horizons and their applications, Living Rev. Relativ
2004
Later among the works it cites.
Ben-Dov I 2004 Penrose inequality and apparent horizons Phys. Rev. D
2004
Later among the works it cites.
Bray H L and Chruściel P T 2004 The Penrose inequality, in The Einstein equations and the large scale behavior of gravitational fields
2004
Later among the works it cites.
Chruściel P T and Galloway G J 2004 A poor’s man positive energy theorem Class. Quantum Grav
2004
Later among the works it cites.
Frauendiener J 2004 Conformal Infinity Living Rev. Relativity
2004
Later among the works it cites.
Friedrich H 2004 Smoothness at null infinity and the structure of initial data, in The Einstein Equations and the Large Scale Behaviour of Gravitational Fields
2004
Later among the works it cites.
Galloway G J 2004 Cosmological spacetimes with Λ > 0 \Lambda>0 , in Advances in Differential Geometry and General Relativity
2004
Later among the works it cites.
Garfinkle D 2004 Numerical simulation of generic singularities Phys.Rev.Lett
2004
Later among the works it cites.
Szabados L B 2004 Quasi-Local Energy-Momentum and Angular Momentum in General Relativity Living Rev. Relativ
2004
Later among the works it cites.
Andersson L, Mars M and Simon W 2005 Local existence of dynamical and trapping horizons Phys. Rev. Lett
2005
Later among the works it cites.
Ashtekar A and Galloway G J 2005 Some uniqueness results for dynamical horizons Adv. Theor. Math. Phys
2005
Later among the works it cites.
Booth I 2005 Black hole boundaries Can. J. Phys
2005
Later among the works it cites.
Dafermos M 2005 The interior of charged black holes and the problem of uniqueness in general relativity Commun. Pure Appl. Math
2005
Later among the works it cites.
Dafermos M 2005 Spherically symmetric spacetimes with a trapped surface Class. Quantum Grav
2005
Later among the works it cites.
Dafermos M and Rodnianski I 2005 A proof of Price’s law for the collapse of a self-gravitating scalar field, Invent. Math
2005
Later among the works it cites.
García-Parrado A and Senovilla J M M 2005 Causal structures and causal boundaries Class. Quantum Grav
2005
Later among the works it cites.
Bernal A N and Sánchez M 2006 Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions Lett. Math. Phys
2006
Later among the works it cites.
Bojowald M (2007) Singularities and Quantum Gravity (lecture course at the XIIth Brazilian School on Cosmology and Gravitation 2006) AIP Conf. Proc. 910
2006
Later among the works it cites.
Chruściel P T, Reall H S and Tod P 2006 On IsraelÐWilsonÐPerjes black holes Class. Quantum Grav
2006
Later among the works it cites.
Dain S 2006 Angular-momentum mass inequality for axisymmetric black holes Phys. Rev. Lett
2006
Later among the works it cites.
Galloway G J and Schoen R 2006 Commun. Math. Phys
2006
Later among the works it cites.
Gourgoulhon E and Jaramillo J L 2006 Area evolution, bulk viscosity, and entropy principles for dynamical horizons Phys. Rev. D
2006
Later among the works it cites.
Booth I and Fairhurst S 2007 Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations Phys. Rev. D
2007
Later among the works it cites.
Flores J L 2007 The causal boundary of spacetimes revisited Commun. Math. Phys
2007
Later among the works it cites.
Flores J L and Harris S G 2007 Topology of the causal boundary for standard static spacetimes Class. Quantum Grav
2007
Later among the works it cites.
Gundlach C. and Martín-García J.M. 2007 Critical phenomena in gravitational collapse Living Rev. Relativity
2007
Later among the works it cites.
Jerjen H 2007 Cosmological singularity theorems and spatial averages
2007
Later among the works it cites.
Robinson D C 2007 Four decades of black hole uniqueness theorems, in The Kerr Space-time: Rotating Black Holes in General Relativity
2007
Later among the works it cites.
Senovilla J M M 2007 Classification of spacelike surfaces in spacetime Class. Quantum Grav
2007
Later among the works it cites.
Senovilla J M M 2007 A singularity theorem based on spatial averages Pramana
2007
Later among the works it cites.
Thornburg J 2007 Event and Apparent Horizon Finders for 3+1 Numerical Relativity Living Rev. Relativity
2007
Later among the works it cites.
Andersson L, Mars M and Simon W 2008 Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes, Adv. Theor. Math. Phys
2008
Later among the works it cites.
Ansorg M and Pfister H 2008 A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter Class. Quantum Grav
2008
Later among the works it cites.
Chruściel P T, Li Y and Weinstein G 2008 Mass and angular-momentum inequalities for axi-symmetric initial data sets: II. Angular-momentum Ann. Phys
2008
Later among the works it cites.
Dain S 2008 Proof of the angular momentum-mass inequality for axisymmetric black holes J. Diff. Geom
2008
Later among the works it cites.
Friedman A 1924 Über die Möglichkeit einer Welt mit konstanter negativer Krümmung des Raumes Zeitschrift für Physik
2008
Later among the works it cites.
Galloway G J 2008 Rigidity of marginally trapped surfaces and the topology of black holes Comm. Anal. Geom
2008
Later among the works it cites.
Jaramillo J L, Valiente Kroon J A and Gourgoulhon E 2008 From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity. Class. Quantum Grav
2008
Later among the works it cites.
Minguzzi E and Sánchez M, 2008, The causal hierarchy of spacetimes, in Recent developments in pseudo-Riemannian geometry
2008
Later among the works it cites.
Senovilla J M M 2008 A reformulation of the Hoop Conjecture Europhys. Lett
2008
Later among the works it cites.
Andersson L, Mars M, Metzger J and W. Simon 2009 The time evolution of marginally trapped surfaces, Class.Quant.Grav
2009
Later among the works it cites.
Andersson L and Metzger J 2009 The area of horizons and the trapped region, Commun. Math. Phys
2009
Later among the works it cites.
Bengtsson I and Senovilla J M M 2009 Note on trapped surfaces in the Vaidya solution Phys. Rev D
2009
Later among the works it cites.
Carrasco A and Mars M 2009 Stability of marginally outer trapped surfaces and symmetries, Class. Quantum Grav
2009
Later among the works it cites.
Christodoulou D 2009 The formation of black holes in General Relativity, EMS Monographs in Mathematics, Europ. Math. Soc (Zürich)
2009
Later among the works it cites.
Eichmair M 2009 The Plateau problem for marginally trapped surfaces J. Differential Geom
2009
Later among the works it cites.
Fewster C J and Roman T A 2003 Null energy conditions in Quantum Field Theory Phys. Rev D
2009
Later among the works it cites.
Gibbons G W 2009 Birkhoff’s invariant and Thorne’s hoop conjecture arXiv:0903.1580 [gr-qc]
2009
Later among the works it cites.
Mars M 2009 Present status of the Penrose inequality Class. Quantum Grav
2009
Later among the works it cites.
Baumgarte T W and Shapiro S L 2010 Numerical Relativity: Solving Einstein’s Equations on the Computer
2010
Later among the works it cites.
Costa e Silva I P 2010 On the Gannon-Lee singularity theorem in higher dimensions Class. Quantum Grav
2010
Later among the works it cites.
Galloway G J and Senovilla J M M 2010 Singularity theorems based on trapped submanifolds of arbitrary co-dimension Class. Quantum Grav
2010
Later among the works it cites.
Lehner L. and Pretorius F. 2010 Black strings, low viscosity fluids, and violation of cosmic censorship Phys. Rev. Lett
2010
Later among the works it cites.
Ringström H 2010 Cosmic Censorship for Gowdy Spacetimes Liv. Rev. Relativity
2010
Later among the works it cites.
Senovilla J M M 2010 Black Holes and Trapped Surfaces AIP Conf. Proc
2010
Later among the works it cites.
Barceló C, Liberati S and Visser M 2011 Analogue gravity Living Rev. Relativity
2011
Later among the works it cites.
Bengtsson I and Senovilla J M M 2011 Region with trapped surfaces in spherical symmetry, its core, and their boundaries Phys. Rev. D
2011
Later among the works it cites.
Dain S and Reiris M 2011 AreaÐangular-momentum inequality for axisymmetric black holes Phys. Rev. Lett
2011
Later among the works it cites.
Fewster C J and Galloway G J 2011 Singularity theorems from weakened energy conditions Class. Quantum Grav
2011
Later among the works it cites.
Flores J L, Herrera J and Sánchez M 2011 Isocausal spacetimes may have different causal boundaries. Class. Quantum Grav
2011
Later among the works it cites.
Flores J L, Herrera J and Sánchez M 2011 On the final definition of the causal boundary and its relation with the conformal boundary Adv. Theor. Math. Phys
2011
Later among the works it cites.
Jaramillo J L, Reiris M and Dain S 2011 Black hole areaÐangular momentum inequality in non-vacuum spacetimes Phys.Rev. D
2011
Later among the works it cites.
Costa e Silva I P 2012 On the geodesic incompleteness of spacetimes containing marginally (outer) trapped surfaces Class. Quantum Grav
2012
Later among the works it cites.
Dain S 2012 Geometric inequalities for axially symmetric black holes Class. Quantum Grav
2012
Later among the works it cites.
Dain S, Jaramillo J L and Reiris M 2012 Area-charge inequality for black holes Class. Quantum Grav
2012
Later among the works it cites.
Klainerman S and Rodnianski I 2012 On the formation of trapped surfaces Acta Math
2012
Later among the works it cites.
Mars M 2012 Stability of MOTS in totally geodesic null horizons Class. Quantum Grav
2012
Later among the works it cites.
Senovilla J M M 2012 Singularity theorems in general relativity: achievements and open questions, Chapter 15 of Einstein and the Changing Worldviews of Physics
2012
Later among the works it cites.
Simon W 2012 Bounds on area and charge for marginally trapped surfaces with cosmological constant Class. Quantum Grav
2012
Later among the works it cites.
Winicour J 2012 Characteristic evolution and matching Liv. Rev. Relat
2012
Later among the works it cites.
Bengtsson I 2013 Some examples of trapped surfaces, Chapter 9 in [ 178 ]
2013
Later among the works it cites.
Bengtsson I, Jakobsson E and Senovilla J M M 2013 Trapped surfaces in Oppenheimer-Snyder black holes Phys. Rev. D
2013
Later among the works it cites.
Booth I 2013 Horizons in the Near-Equilibrium Regime, Chapter 4 in [ 178 ]
2013
Later among the works it cites.
Eichmair M, Galloway G J and Pollack D 2013 Topological censorship from the initial data point of view J. Differential Geom
2013
Later among the works it cites.
Flores J L, Herrera J and Sánchez M 2013 Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds. Mem. Amer. Math. Soc
2013
Later among the works it cites.
Gabach Clement M E, Jaramillo J L and Reiris M 2013 Proof of the area-angular momentum-charge inequality for axisymmetric black holes Class. Quantum Grav
2013
Later among the works it cites.
Hayward S A (editor) 2013 Black Holes: New Horizons
2013
Later among the works it cites.
Jaramillo J L 2013 An Introduction to Local Black Hole Horizons in the 3+1 Approach to General Relativity, Chapter 1 in [ 178 ]
2013
Later among the works it cites.
Lemaître G 1927 Un Universe homogène de masse constante et de rayon croissant, rendant compte de la vittese radiale des nébuleuses extragalactiques Annales de la Société Scientifique de Bruxelles
2013
Later among the works it cites.
Mars M, Mena F C, and Vera R. 2013 Review on exact and perturbative deformations of the Einstein-Straus model: uniqueness and rigidity results Gen. Relativ. Gravit
2013
Later among the works it cites.
Minguzzi E 2013 Convex neighborhoods for Lipschitz connections and sprays; arXiv:1308.6675
2013
Later among the works it cites.
Nielsen A B 2013 Physical Aspects of Quasi-Local Black Hole Horizons, Chapter 2 in [ 178 ]
2013
Later among the works it cites.
Treude J-H and Grant J D E 2013 Volume Comparison for Hypersurfaces in Lorentzian Manifolds and Singularity Theorems Annals of Global Analysis and Geometry
2013
Later among the works it cites.
Wall A C 2013 The Generalized Second Law implies a Quantum Singularity Theorem, Class. Quantum Grav
2013
Later among the works it cites.
2014
Closest in time.
Curiel E 2014 A Primer on Energy Conditions; arXiv:1405.0403
2014
Closest in time.
Galloway G J and Vega C 2014 Achronal limits, Lorentzian spheres and splitting Ann. Henri Poincaré
2014
Closest in time.
Healy J and Laguna P 2014 Critical Collapse of Scalar Fields Beyond Axisymmetry Gen. Rel. Grav
2014
Closest in time.
Kunzinger M, Steinbauer R, Stojkovic M and Vickers J S 2014 A regularisation approach to causality theory for C 1 , 1 C^{1,1} Lorentzian metrics Gen. Relat. Grav
2014
Closest in time.
Vilenkin A and Wall A C 2014 Cosmological singularity theorems and black holes Phys. Rev. D
2014
Closest in time.