Fetching the paper…
Reading the bibliography…
We present an introduction to mass and angular momentum in General Relativity.
Noether, E.: Nachr. Ges. Wiss. Goettingen 2
1918
Earlier work this paper cites.
Belinfante, J.: Physica 6
1939
Earlier work this paper cites.
Belinfante, J.: Physica 7
1940
Earlier work this paper cites.
Phys. Rev. 113
Komar, A.: Covariant conservation laws in general relativity · 1959
Earlier work this paper cites.
In: L. Witten (ed.) Gravitation: an introduction to current research, p. 227. John Wiley & Witten (1962)
Arnowitt, R., Deser, S., Misner, C.W.: The dynamics of general relativity · 1962
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A 269
Bondi, H., van der Burg, M.G.J., Metzner, A.W.K.: Gravitational waves in general relativity VII. Waves from axi-symmetric isolated systems · 1962
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A 270
Sachs, R.K.: Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time · 1962
Earlier work this paper cites.
Phys. Rev. 130
Misner, C.W.: Gravitational field energy and g 00 g00 · 1963
Earlier work this paper cites.
Phys. Rev. Lett. 10
Penrose, R.: Asymptotic properties of fields and space-times · 1963
Earlier work this paper cites.
Phys. Rev. 136
Misner, C.W., Sharp, D.H.: Relativistic equations for adiabatic, spherically symmetric gravitational collapse · 1964
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A 284
Penrose, R.: Zero rest-mass fields including gravitation: asymptotic behaviour · 1965
Earlier work this paper cites.
Phys. Rev. Lett. 15
Winicour, J., Tamburino, L.: Lorentz-covariant gravitational energy-momentum linkages · 1965
Earlier work this paper cites.
J. Math. Phys. 9
Hawking, S.: Gravitational radiation in an expanding universe · 1968
Earlier work this paper cites.
Phys. Rev. Lett. 25
Christodoulou, D.: Reversible and irreversible transformations in black-hole physics · 1970
Earlier work this paper cites.
Phys. Rev. Lett. 26
Hawking, S.W.: Gravitational radiation from colliding black holes · 1971
Earlier work this paper cites.
J. Math. Phys 13
Geroch, R.P.: Structure of the gravitational field at spatial infinity · 1972
Earlier work this paper cites.
Commun. Math. Phys. 25
Hawking, S.W.: Black holes in general relativity · 1972
Earlier work this paper cites.
Freeman (1973)
Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation · 1973
Earlier work this paper cites.
Annals N. Y. Acad. Sci. 224
Penrose, R.: Naked singularities · 1973
Earlier work this paper cites.
Ann. N.Y. Acad. Sci. 224
Geroch, R.: Energy extraction · 1973
Earlier work this paper cites.
Commun. Math. Phys. 31
Bardeen, J.M., Carter, B., Hawking, S.W.: The four laws of black hole mechanics · 1973
Earlier work this paper cites.
Cambridge University Press (1973)
Hawking, S.W., Ellis, G.F.R.: The large scale structure of space-time · 1973
Earlier work this paper cites.
Commun. Math. Phys. 43
Hawking, S.W.: Particle Creation by Black Holes · 1975
Earlier work this paper cites.
Phys. Rev. Lett. 39
Deser, S., Teitelboim, C.: Supergravity has positive energy · 1977
Earlier work this paper cites.
J. Math. Phys. 19
Ashtekar, A., Hansen, R.O.: A unified treatment of null and spatial infinity in general relativity. i. universal structure, asymptotic symmetries, and conserved quantities at spatial infinity · 1978
Earlier work this paper cites.
Phys. Lett. 69A
Beig, R.: Arnowitt-deser-misner energy and g 00 g_{00} · 1978
Earlier work this paper cites.
J. Math. Phys. 20
Ashtekar, A., Magnon-Ashtekar, A.: On conserved quantities in general relativity · 1979
Earlier work this paper cites.
Comm. Math. Phys. 65
Schoen, R., Yau, S.T.: On the positive mass conjecture in general relativity · 1979
Earlier work this paper cites.
In: L.L. Smarr (ed.) Sources of Gravitational Radiation, pp. 83–126. Cambridge University Press, Cambridge, UK (1979)
York Jr., J.W.: Kinematics and dynamics of general relativity · 1979
Earlier work this paper cites.
In: A. Held (ed.) General Relativity and Gravitation, one hundred Years after the Birth of Albert Einstein, vol. 2, p. 37. Plenum Press, New York (1980)
Ashtekar, A.: Asymptotic structure of the gravitational field at spatial infinity · 1980
Earlier work this paper cites.
Comm. Math. Phys. 79
Schoen, R., Yau, S.T.: Proof of the positive mass theorem. ii · 1981
Earlier work this paper cites.
Comm. Math. Phys. 80
Witten, E.: A new proof of the positive energy theorem · 1981
Cited alongside, same era.
J. Math. Phys. 22
Geroch, R., Winicour, J.: Linkages in general relativity · 1981
Cited alongside, same era.
Nucl. Phys. B195
Abbott, L.F., Deser, S.: Stability of Gravity with a Cosmological Constant · 1982
Cited alongside, same era.
Phys. Rev. Lett. 48
Schoen, R., Yau, S.T.: Proof that the bondi mass is positive · 1982
Cited alongside, same era.
Phys. Rev. Lett. 48
Horowitz, G.T., Perry, M.J.: Gravitational energy cannot become negative · 1982
Cited alongside, same era.
Chicago University Press (1984)
Wald, R.M.: General Relativity · 1984
Cited alongside, same era.
In: T. Willmore, N. Hitchin (eds.) Global Riemannian Geometry, pp. 194–202. Ellis Horwood; Halsted Press, Chichester, U.K.; New York, U.S.A. (1984)
Phys. Rev. D65
Friedman, J.L., Uryu, K., Shibata, M.: Thermodynamics of binary black holes and neutron stars · 2002
Later among the works it cites.
Phys. Rev. D 68
Hayward, S.A.: Spatial and null infinity via advanced and retarded conformal factors · 2003
Later among the works it cites.
Phys. Rev. D 67
Deser, S., Tekin, B.: Energy in generic higher curvature gravity theories · 2003
Later among the works it cites.
Phys. Rev. Lett. 90
Liu, C.C.M., Yau, S.T.: Positivity of quasilocal mass · 2003
Later among the works it cites.
Phys. Rev. D67
Dreyer, O., Krishnan, B., Shoemaker, D., Schnetter, E.: Introduction to isolated horizons in numerical relativity · 2003
Later among the works it cites.
Liv. Rev. Relat. 7
Szabados, L.B.: Quasi-local energy-momentum and angular momentum in gr: a review article · 2004
Later among the works it cites.
Cambridge University Press, Cambridge (2004)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Gibbons, G.: The isoperimetric and bogomolny inequalities for black holes · 1984
Cited alongside, same era.
Class. Quantum Grav. 2
Katz, J.: A note on Komar’s anomalous factor · 1985
Cited alongside, same era.
Phys. Rev. Lett. 57
Israel, W.: Third law of black-hole dynamics: A formulation and proof · 1986
Cited alongside, same era.
In: S. Hawking, W. Israel (eds.) Three Hundred Years of Gravitation. Cambridge University Press, Cambridge (1987)
Crnković, C., Witten, E.: Covariant description of canonical formalism in geometrical thoeries · 1987
Cited alongside, same era.
Phys. Rev. Lett. 62
Bartnik, R.: New definition of quasilocal mass · 1989
Cited alongside, same era.
Princeton, USA: Univ. Pr. (1992) 520 p (1992)
Henneaux, M., Teitelboim, C.: Quantization of gauge systems · 1992
Cited alongside, same era.
Poisson, E.: A Relativist’s Toolkit, The Mathematics of Black-Hole Mechanics · 2004
Later among the works it cites.
Liv. Rev. Relat. 7
Frauendiener, J.: Conformal infinity · 2004
Later among the works it cites.
In: P.T. Chruściel, H. Friedrich (eds.) The Einstein Equations and the Large Scale behavior of Gravitational Fields, p. 39. Bikhäuser, Basel (2004)
Bray, H.L., Chruściel, P.T.: The Penrose inequality · 2004
Later among the works it cites.
Liv. Rev. Relat. 7
Ashtekar, A., Krishnan, B.: Isolated and dynamical horizons and their applications · 2004
Later among the works it cites.
Phys. Rev. D70
Ben-Dov, I.: The penrose inequality and apparent horizons · 2004
Later among the works it cites.
Phys. Rev. Lett. 92
Booth, I., Fairhurst, S.: The first law for slowly evolving horizons · 2004
Later among the works it cites.
lectures delivered at Institut Henri Poincaré in 2006, available as gr-qc/0703035
Gourgoulhon, E.: 3+1 formalism and bases of numerical relativity · 2006
Later among the works it cites.
Phys. Rev. D74
Hayward, S.A.: Angular momentum conservation for dynamical black holes · 2006
Later among the works it cites.
Class. Quant. Grav. 23
Szabados, L.B.: On a class of 2-surface observables in general relativity · 2006
Later among the works it cites.
Phys. Rept. 423
Gourgoulhon, E., Jaramillo, J.L.: A 3+1 perspective on null hypersurfaces and isolated horizons · 2006
Later among the works it cites.
Phys. Rev. D74
Gourgoulhon, E., Jaramillo, J.L.: Area evolution, bulk viscosity and entropy principles for dynamical horizons · 2006
Later among the works it cites.
Phys. Rev. Lett. 96
Dain, S.: Angular-momentum-mass inequality for axisymmetric black holes · 2006
Later among the works it cites.
Class. Quantum Grav. 23
Ansorg, M., Petroff, D.: Negative komar mass of single objects in regular, asymptotically flat spacetimes · 2006
Later among the works it cites.
Phys. Rev. D76
Cook, G.B., Whiting, B.F.: Approximate killing vectors on s 2 s^{2} · 2007
Later among the works it cites.
Class. Quant. Grav. 24
Korzynski, M.: Quasi–local angular momentum of non–symmetric isolated and dynamical horizons from the conformal decomposition of the metric · 2007
Later among the works it cites.
Phys. Rev. D75
Campanelli, M., Lousto, C.O., Zlochower, Y., Krishnan, B., Merritt, D.: Spin flips and precession in black-hole-binary mergers · 2007
Later among the works it cites.
Phys. Rev. D75
Booth, I., Fairhurst, S.: Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations · 2007
Later among the works it cites.
Annals Phys. 323
Chruściel, P.T.: Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass · 2007
Later among the works it cites.
Annals Phys. 323
Chruściel, P.T., Li, Y., Weinstein, G.: Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum · 2007
Later among the works it cites.
Class. Quantum Grav. 25
Jaramillo, J.L., Valiente Kroon, J.A., Gourgoulhon, E.: From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity · 2008
Later among the works it cites.
Class. Quant. Grav. 25
Ansorg, M., Pfister, H.: A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter · 2008
Later among the works it cites.
Class. Quantum Grav. 25
Hennig, J., Ansorg, M., Cederbaum, C.: A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter · 2008
Later among the works it cites.
Phys. Rev. Lett. 102
Wang, M.T., Yau, S.T.: Quasilocal mass in general relativity · 2009
Later among the works it cites.
Phys. Rev. D 80
Yang, J., Ma, Y.: Quasilocal energy in loop quantum gravity · 2009
Later among the works it cites.