2014
DOI: 10.1103/physrevlett.112.091301
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Mass of a Black Hole Firewall

Abstract: Quantum entanglement of Hawking radiation has been supposed to give rise to a Planck density "firewall" near the event horizon of old black holes. We show that Planck density firewalls are excluded by Einstein's equations for black holes of mass exceeding the Planck mass. We find an upper limit of 1/(8πM ) to the surface density of a firewall in a Schwarzschild black hole of mass M , translating for astrophysical black holes into a firewall density smaller than Planck density by more than 30 orders of magnitud… Show more

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Cited by 19 publications
(70 citation statements)
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“…Thus, this back-of-the-envelope calculation predicts that the main splash of radiation, consisting on ringdown of an isolated BH, is quickly followed by ringdown in the modes of the composite BH plus firewall system. In summary, we predict changes in the GW signal which can be significant if the firewall model is correct, the actual number depends (linearly) on the total mass of the firewall shell, which is still a subject of debate [139,140].…”
Section: Relation With "Firewalls" and Other Exotica Around Massmentioning
confidence: 99%
“…Thus, this back-of-the-envelope calculation predicts that the main splash of radiation, consisting on ringdown of an isolated BH, is quickly followed by ringdown in the modes of the composite BH plus firewall system. In summary, we predict changes in the GW signal which can be significant if the firewall model is correct, the actual number depends (linearly) on the total mass of the firewall shell, which is still a subject of debate [139,140].…”
Section: Relation With "Firewalls" and Other Exotica Around Massmentioning
confidence: 99%
“…This regime is at present conspicuously poorly understood, and not exempt of problems [12] (a rare exception is a dilaton gravity model [9] in which the paradox turns out to be resolved by a remnant rather than by a firewall). While our results do not settle the viability of the firewall argument, they do identify the arena in which the viability will be settled.…”
mentioning
confidence: 99%
“…Modeling the gravitational aspects of this proposed singularity has remained elusive. For instance, the emergence of a Planck scale shell near the horizon of an astrophysical black hole seems to be in tension with the gravitational dynamics predicted by general relativity [12]. Nevertheless, the nongravitational aspects of the "firewall" version of the singularity [3] can be modeled with a quantum field in Minkowski spacetime: a state in which correlations across a Rindler horizon are severed can be written down by hand [13], mimicking the severing that the firewall argument of [3] posits to develop dynamically during black hole evaporation.…”
mentioning
confidence: 99%
“…Finally it was recently shown that Einstein's field equations do not admit a solution in which a Planck-density, Planck-scale firewall is just outside the event horizon [153]. Any shell located at the horizon of an astrophysical black hole must necessarily have a density many orders of magnitude lower than the Planck density.…”
Section: Loopholesmentioning
confidence: 99%