Abstract
This paper proposes a generalization of the dependence for the entropy of ‘‘ordinary’’ massive bodies with a relatively small entropy of the event horizon of the covering surface to the case of black holes (BH). By doing this, the nature of the famous Bekenstein bound, that is, the universal limit for entropy, is immediately explained and corrections to the values of the ‘‘gravitational’’ surface temperature are determined for the entire spectrum of astrophysical objects.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
K. S. Thorn, Black Holes and Time Warps: Einstein’s Outrageous Legacy (W. W. Norton, New York, 1994), p. 619.
J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).
B. Ya. Zel’dovich, Sov. Phys. JETP 35, 1085 (1972).
J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973);
J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973); S. W. Hawking, Nature (London, U.K.) 248, 30 (1974).
S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).
J. D. Bekenstein, Contemp. Phys. 45, 31 (2003).
J. D. Bekenstein, Lett. Nuovo Cim. 4, 737 (1972).
J. W. Gibbs, Elementary Principles of Statistical Mechanics (Ox Bow Press, Woodbridge, 1981).
Ya. M. Gelfer, History and Methodology of Thermodynamics and Statistical Physics, 2nd ed. (Vysshaya Shkola, Moscow, 1981) [in Russian].
Ya. M. Gelfer, V. L. Lyuboshits, and M. I. Podgoretskii, Gibbs Paradox and Identity of Particles in Quantum Mechanics (Nauka, Moscow, 1975), p. 272 [in Russian].
D. V. Sivukhin, General Course of Physics (Nauka, Moscow, 1990), Vol. 2, p. 591 [in Russian].
E. P. Verlinde, High Energ. Phys., No. 04, 029 (2011). https://doi.org/10.1007/JHEP04(2011)029
Yun Soo Myung, Hyung Won Lee, and Yong-Wan Kim, ‘‘Entropic force versus temperature force,’’ arXiv:1006.1922v1 [hep-th] (2010).
F. Porcelli and G. Scibona, ‘‘On the black hole’s thermodynamics and the entropic origin of gravity,’’ arXiv: 1011.0895.
I. Newton, Philosophiae Naturalis Principia Mathematica (Imprimatur, S. Pepys, London, 1686), Theorem XXXI.
I. D. Novikov and V. P. Frolov, Physics of Black Holes (Nauka, Moscow, 1986), p. 328 [in Russian].
W. G. Unruh, Phys. Rev. D 14, 870 (1976).
L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by L. Trubitsyna
About this article
Cite this article
Belinsky, A.V., Shulman, M.H. The Entropy of a Gravitating Body. Moscow Univ. Phys. 75, 496–500 (2020). https://doi.org/10.3103/S0027134920050070
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027134920050070