Fetching the paper…
Reading the bibliography…
Recent advances in numerical relativity have revealed how marginally trapped surfaces behave when black holes merge.
1902
Earlier work this paper cites.
1904
Earlier work this paper cites.
1905
Earlier work this paper cites.
1910
Earlier work this paper cites.
J.R. Oppenheimer and H. Snyder, “On Continued gravitational contraction,” Phys. Rev. 56
1939
Earlier work this paper cites.
Dieter R. Brill and Richard W. Lindquist, “Interaction energy in geometrostatics,” Phys. Rev. 131
1963
Earlier work this paper cites.
Roger Penrose, “Gravitational collapse and space-time singularities,” Phys. Rev. Lett. 14
1965
Earlier work this paper cites.
S. W. Hawking and R. Penrose, “The Singularities of gravitational collapse and cosmology,” Proc. Roy. Soc. Lond. A314
1970
Earlier work this paper cites.
Jacob D. Bekenstein, “Black holes and entropy,” Phys. Rev. D7
1973
Earlier work this paper cites.
James M. Bardeen, B. Carter, and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
D. Gannon, “Singularities in nonsimply connected space-times,” J. Math. Phys. 16
1975
Earlier work this paper cites.
D. Gannon, “On the topology of spacelike hypersurfaces, singularities and black holes,” Gen. Rel. Grav. 7
1976
Earlier work this paper cites.
T Damour, Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs , Ph.D. thesis, University of Paris (1979)
1979
Earlier work this paper cites.
Robert P. Geroch and J. B. Hartle, “Distorted black holes,” J. Math. Phys. 23
1982
Earlier work this paper cites.
Thibaut Damour, Surface effects in black hole physics (na, 1982)
1982
Earlier work this paper cites.
H. Friedrich and J.M. Stewart, “Characteristic initial data and wave front singularities in general relativity,” Proc. Roy. Soc. Lond. A A385
1983
Earlier work this paper cites.
R. H. Price and K. S. Thorne, “Membrane Viewpoint on Black Holes: Properties and Evolution of the Stretched Horizon,” Phys. Rev. D33
1986
Earlier work this paper cites.
K. S. Thorne, R. H. Price, and D. A. MacDonald, Black holes: The membrane paradigm (Yale University Press, 1986)
1986
Earlier work this paper cites.
R.P.A.C. Newman, “Topology and stability of marginal 2-surfaces,” Class. and Quant. Grav. 4
1987
Earlier work this paper cites.
V.I. Arnold́ and International Mathematical Union, Contact Geometry and Wave Propagation: Lectures Given at the University of Oxford Under the Sponsorship of the International Mathematical Union , Monographie de lÉnseignement mathématique (L’Enseignement mathématique, Université de Genève, 1989)
1989
Earlier work this paper cites.
R. A. Matzner, H. E. Seidel, Stuart L. Shapiro, L. Smarr, W. M. Suen, Saul A. Teukolsky, and J. Winicour, “Geometry of a black hole collision,” Science 270
1995
Earlier work this paper cites.
Jonathan Thornburg, “Finding apparent horizons in numerical relativity,” Phys. Rev. D 54
1996
Earlier work this paper cites.
P.C. Vaidya, “The External Field of a Radiating Star in Relativity,” Gen. Rel. Grav. 31
1999
Earlier work this paper cites.
Abhay Ashtekar, Christopher Beetle, and Stephen Fairhurst, “Isolated horizons: A generalization of black hole mechanics,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.
Sean A. Hayward, “Black holes: New horizons,” in Recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories. Proceedings, 9th Marcel Grossmann Meeting, MG’9, Rome, Italy, July 2-8, 2000. Pts. A-C (2000) pp. 568–580, arXiv:gr-qc/0008071 [gr-qc]
2000
Earlier work this paper cites.
Deirdre M. Shoemaker, Mijan F. Huq, and Richard A. Matzner, “Generic Tracking of Multiple Apparent Horizons with Level Flow,” Phys. Rev. D62
2000
Earlier work this paper cites.
Jerzy Lewandowski, “Spacetimes Admitting Isolated Horizons,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
Abhay Ashtekar and Alejandro Corichi, “Laws governing isolated horizons: Inclusion of dilaton couplings,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
Gregory J. Galloway, “Maximum principles for null hypersurfaces and null splitting theorems,” Annales Henri Poincare 1
2000
Earlier work this paper cites.
Jürgen Ehlers and Ezra Newman, “The theory of caustics and wave front singularities with physical applications,” Journal of Mathematical Physics, v.41, 3344-3378 (2000) 41
2000
Earlier work this paper cites.
Abhay Ashtekar, Christopher Beetle, and Jerzy Lewandowski, “Mechanics of Rotating Isolated Horizons,” Phys. Rev. D64
2001
Earlier work this paper cites.
Stephen Fairhurst and Badri Krishnan, “Distorted black holes with charge,” Int. J. Mod. Phys. D10
2001
Earlier work this paper cites.
Abhay Ashtekar, Christopher Beetle, and Jerzy Lewandowski, “Geometry of Generic Isolated Horizons,” Class. Quant. Grav. 19
2002
Cited alongside, same era.
Abhay Ashtekar and Badri Krishnan, “Dynamical horizons: Energy, angular momentum, fluxes and balance laws,” Phys. Rev. Lett. 89
2002
Cited alongside, same era.
Abhay Ashtekar and Badri Krishnan, “Dynamical horizons and their properties,” Phys. Rev. D68
2003
Cited alongside, same era.
2003
Cited alongside, same era.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2004
Cited alongside, same era.
Abhay Ashtekar and Badri Krishnan, “Isolated and dynamical horizons and their applications,” Living Rev. Rel. 7
2004
Cited alongside, same era.
Jonathan Thornburg, “A Fast Apparent-Horizon Finder for 3-Dimensional Cartesian Grids in Numerical Relativity,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
Marcus Ansorg, Bernd Brügmann, and Wolfgang Tichy, “A single-domain spectral method for black hole puncture data,” Phys. Rev. D 70
2004
Cited alongside, same era.
2004
Cited alongside, same era.
Sean A. Hayward, “Energy and entropy conservation for dynamical black holes,” Phys. Rev. D70
2004
Cited alongside, same era.
Ivan Booth and Stephen Fairhurst, “The first law for slowly evolving horizons,” Phys. Rev. Lett. 92
2004
Cited alongside, same era.
Ricardo Uribe-Vargas, “On singularities, “perestroikas” and differential geometry of space curves,” L’Enseignement Mathématique. IIe Série 50
2004
Cited alongside, same era.
2011
Later among the works it cites.
2011
Later among the works it cites.
Li-Ming Cao, “Deformation of Codimension-2 Surface and Horizon Thermodynamics,” JHEP 03
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
T. Padmanabhan, “Entropy density of spacetime and the navier-stokes fluid dynamics of null surfaces,” Phys. Rev. D 83
2011
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
S.A. Hayward, Black Holes: New Horizons , New horizons (World Scientific, 2013)
2013
Later among the works it cites.
Ivan Booth, “Spacetime near isolated and dynamical trapping horizons,” Phys. Rev. D 87
2013
Later among the works it cites.
2013
Later among the works it cites.
V. Arnold, Singularities of Caustics and Wave Fronts , Mathematics and its Applications (Springer Netherlands, 2013)
2013
Later among the works it cites.
José Luis Jaramillo, “A Young-Laplace law for black hole horizons,” Phys. Rev. D89
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
Fabio Sanches and Sean J. Weinberg, “Refinement of the Bousso-Engelhardt Area Law,” Phys. Rev. D 94
2016
Later among the works it cites.
Aleˇs Flandera, “Geometry of isolated horizons,” (2016), arXiv:1611.02215 [gr-qc]
2016
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.