Entropy corresponding to the interior of a Schwarzschild black hole
arXiv:1703.00142 · doi:10.1016/j.physletb.2017.05.003
Abstract
Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it maximum} interior volume for massless modes, is proportional to the Bekenstein-Hawking expression. The proportionality constant is less than unity implying the horizon bears maximum entropy than that by the interior. The derivation is very systematic and free of any ambiguity. To do so the precise value of the energy of the modes, living in the interior, is derived by constraint analysis. Finally, the implications of the result are discussed.
Two new references and additional discussions added, to appear in Phys. Lett. B
References in corpus (4)
Cited by in corpus (7)
- Entropy in the interior of a Kerr black hole
- On the entropy associated with the interior of a black hole
- Interior Volume of Banados-Teitelboim-Zanelli Black Hole
- Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes
- Volume dependent extension of Kerr-Newman black hole thermodynamics
- Information paradox and corrected thermodynamics for black holes
- Information evolution in the interior of an axially symmetric BTZ black hole