Empty black holes, firewalls, and the origin of Bekenstein-Hawking entropy

被引:29
|
作者
Saravani, Mehdi [1 ,2 ]
Afshordi, Niayesh [1 ,2 ]
Mann, Robert B. [1 ,2 ]
机构
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
来源
关键词
Black holes; firewalls; modified gravity; gravitational collapse;
D O I
10.1142/S021827181443007X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose a novel solution for the endpoint of gravitational collapse, in which spacetime ends (and is orbifolded) at a microscopic distance from black hole event horizons. This model is motivated by the emergence of singular event horizons in the gravitational aether theory, a semiclassical solution to the cosmological constant problem(s) and thus suggests a catastrophic breakdown of general relativity close to black hole event horizons. A similar picture emerges in fuzzball models of black holes in string theory, as well as the recent firewall proposal to resolve the information paradox. We then demonstrate that positing a surface fluid in thermal equilibrium with Hawking radiation, with vanishing energy density (but nonvanishing pressure) at the new boundary of spacetime, which is required by Israel junction conditions, yields a thermodynamic entropy that is identical to the Bekenstein-Hawking area law, S-BH, for charged rotating black holes. To our knowledge, this is the first derivation of black hole entropy that only employs local thermodynamics. Furthermore, a model for the microscopic degrees of freedom of the surface fluid (which constitute the microstates of the black hole) is suggested, which has a finite, but Lorentz-violating, quantum field theory. Finally, we comment on the effects of physical boundary on Hawking radiation and show that relaxing the assumption of equilibrium with Hawking radiation sets S-BH as an upper limit for Black Hole entropy.
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页数:21
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