vix.ing · top · new · best · stats · spec

Empty Black Holes, Firewalls, and the Origin of Bekenstein-Hawking\n Entropy

2012/12/17 by Mehdi Saravani, Niayesh Afshordi, Saravani, Mehdi +3 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1212.4176

Abstract

We propose a novel solution for the endpoint of gravitational collapse, in\nwhich spacetime ends (and is orbifolded) at a microscopic distance from black\nhole event horizons. This model is motivated by the emergence of singular event\nhorizons in the gravitational aether theory, a semi-classical solution to the\ncosmological constant problem(s), and thus suggests a catastrophic breakdown of\ngeneral relativity close to black hole event horizons. A similar picture\nemerges in fuzzball models of black holes in string theory, as well as the\nrecent firewall proposal to resolve the information paradox. We then\ndemonstrate that positing a surface fluid in thermal equilibrium with Hawking\nradiation, with vanishing energy density (but non-vanishing pressure) at the\nnew boundary of spacetime, which is required by Israel junction conditions,\nyields a thermodynamic entropy that is identical to the Bekenstein-Hawking area\nlaw, SBH, for charged rotating black holes. To our knowledge, this is the\nfirst derivation of black hole entropy which only employs local thermodynamics.\nFurthermore, a model for the microscopic degrees of freedom of the surface\nfluid (which constitute the micro-states of the black hole) is suggested, which\nhas a finite, but Lorentz-violating, quantum field theory. Finally, we comment\non the effects of physical boundary on Hawking radiation, and show that\nrelaxing the assumption of equilibrium with Hawking radiation sets SBH as\nan upper limit for Black Hole entropy.\n

Cited by

Related