Fetching the paper…

Reading the bibliography…

Tolman mass, generalized surface gravity, and entropy bounds · Around

2010

Tolman mass, generalized surface gravity, and entropy bounds

Abreu, Gabriel, Visser, Matt

Original
PDF
Post on X

Understand

In any static spacetime the quasi-local Tolman mass contained within a volume can be reduced to a Gauss-like surface integral involving the flux of a suitably defined generalized surface gravity.

By introducing some basic thermodynamics and invoking the Unruh effect one can then develop elementary bounds on the quasi-local entropy that are very similar in spirit to the holographic bound, and closely related to entanglement entropy.

Built on

R. C. Tolman and P. Ehrenfest, Phys. Rev. 36
1930
Earlier work this paper cites.
R. C. Tolman, Proc. Nat. Acad. Sci. 21
1935
Earlier work this paper cites.
N. L. Balazs, Ap. J. 128
1958
Earlier work this paper cites.
A. Komar, Phys. Rev., 113
1959
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, Commun. Math. Phys. 31
1973
Earlier work this paper cites.
J. D. Bekenstein, Phys. Rev. D 9
1974
Earlier work this paper cites.
W. G. Unruh, Phys. Rev. D 14
1976
Earlier work this paper cites.

Similar

J. D. Bekenstein, Phys. Rev. D 23
1981
Cited alongside, same era.
R. C. Tolman, Relativity, thermodynamics, and cosmology , (Dover, 1987)
1987
Cited alongside, same era.
M. Visser, Phys. Rev. D 46
1992
Cited alongside, same era.
M. Srednicki, Phys. Rev. Lett. 71
1993
Cited alongside, same era.
M. Visser, Lorentzian wormholes: From Einstein to Hawking , (AIP Press [Springer–Verlag], Reading, 1995)
Original
1995
Cited alongside, same era.
L. D. Landau and E. M. Lifschitz, The Classical Theory of Fields (Pergamon Press, Oxford, 2000), Chaps. 11, 12. See esp eq (105.22) on p 358 §105 [4th revised english edition.]
2000
Cited alongside, same era.

Then

R. Bousso, Rev. Mod. Phys. 74
2002
Later among the works it cites.
T. Padmanabhan, Class. Quant. Grav. 21
2004
Later among the works it cites.
P. O. Mazur and E. Mottola, arXiv:gr-qc/0109035; Proc. Nat. Acad. Sci. 101
2005
Later among the works it cites.
J. P. S. Lemos and O. B. Zaslavskii, Phys. Rev. D 81
Original
2008
Later among the works it cites.
R. D. Sorkin, R. M. Wald and Z. J. Zhang, Gen. Rel. Grav. 13
Original
2009
Later among the works it cites.
C. Barceló, S. Liberati, S. Sonego and M. Visser, Phys. Rev. D 77
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

T. Padmanabhan, arXiv:1003.5665 [gr-qc]. S. Kolekar and T. Padmanabhan, arXiv:1005.0619 [gr-qc]

Cited in the paper.

G. Abreu and M. Visser, “Kodama time”, arXiv: 1004.1456 [gr-qc]

Cited in the paper.

2009

Later among the works it cites.