Model for nonsingular black hole collapse and evaporation

Hossenfelder, Sabine; Modesto, Leonardo; Prémont‐Schwarz, Isabeau

doi:10.1103/physrevd.81.044036

Cited by 126 publications

(102 citation statements)

References 48 publications

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“…We calculate the quantum energy flux for 16. This plot depicts the flux of particles emitted by the α-sandwich black hole with p = 4, q = 8, and k = 4, n = 6 at the moment v = q.…”

Section: Discussionmentioning

confidence: 99%

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Quantum radiation from a sandwich black hole

Frolov

Zelnikov

2017

Phys. Rev. D

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We discuss quantum radiation of a massless scalar field from a spherically symmetric nonsingular black hole with finite lifetime. Namely, we discuss a sandwich black-hole model, where a black hole is originally created by a collapse of a null shell of mass M , and later, after some time ∆V , it is disrupted by the collapse of the other shell with negative mass −M . We assume that between the shells the metric is static and either coincides with the Hayward metric or with a special generalization of it. We show that in both cases for sufficiently large parameter ∆V the radiation after the formation of the black hole practically coincides with the Hawking result. We also calculated the radiation, emitted from the black hole interior. This radiation contains peak at the moment when the second shell intersects the inner horizon. In the standard sandwich metric (with the Hayward interior) this outburst of the energy is exponentially large. In the modified metric, which includes additional non-trivial redshift parameter, this exponent is suppressed. This is a result of significant decrease of the surface gravity of the inner horizon in the latter case. We discuss possible consequences of this result in context of the self-consistency requirement for nonsingular models with quantum radiation.

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“…We calculate the quantum energy flux for 16. This plot depicts the flux of particles emitted by the α-sandwich black hole with p = 4, q = 8, and k = 4, n = 6 at the moment v = q.…”

Section: Discussionmentioning

confidence: 99%

“…When a black hole evaporates the event horizon does not exist and the apparent horizon is closed. Such a model was first proposed in [32], and later was intensively discussed in the literature [16,[33][34][35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Quantum radiation from a sandwich black hole

Frolov

Zelnikov

2017

Phys. Rev. D

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“…Quantum gravitational effects can also affect the formation of black hole horizons and Hawking radiation. In [14] and [15], interesting calculations of quantum gravity effects on the singularity resolution and the formation of horizon(s) can be found.…”

Section: Jhep02(2017)124mentioning

confidence: 99%

Quantum vacuum effects on the final fate of a collapsing ball of dust

Arfaei

Noorikuhani

2017

J. High Energ. Phys.

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Abstract:We consider the quantum vacuum effects of the massless scalar fields that are non-minimally coupled to the background geometry of a collapsing homogeneous ball of dust. It is shown that for a definite range of coupling constants, there are repulsive quantum vacuum effects, capable of stopping the collapse process inside the black hole and precluding the formation of singularity. The final fate of the collapse will be a black hole with no singularity, inside which the matter stays balanced. The density of the final static matter will be close to the Planck density. We show that the largest possible radius of the stable static ball inside a black hole with Schwarzschild mass M is given by 1 90π M mp 1 3 p . If the black hole undergoes Hawking radiation, the final state will be an extremal quantumcorrected black hole, with zero temperature, with a remnant of matter inside. We show that the resolution of singularity is not disrupted under Hawking radiation.

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“…From the expression 8 , one can obtain an expression for the black hole entropy in terms of its area [43] …”

Section: Loop Quantum Black Holesmentioning

confidence: 99%

“…In this way, a Loop Quantum Black Hole (LQBH), also called self-dual black hole, consists in a quantum corrected Schwarzschild black hole that appears from a simplified model of LQG by the use of semiclassical tools in the minisuperspace quantization approach [40][41][42][43].…”

Section: Loop Quantum Black Holesmentioning

confidence: 99%