On the effective metric of a Planck star

Lorenzo, Tommaso De; Pacilio, Costantino; Rovelli, Carlo; Speziale, Simone

doi:10.1007/s10714-015-1882-8

Cited by 108 publications

(133 citation statements)

References 32 publications

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“…One of the options is that after the back-reaction is included, the surface gravity of the inner horizon becomes small. In order to demonstrate how the exponentially large radiation from the inner horizon can be suppressed, we considered a so called "modified model", proposed in [28,57,58]. This model includes a non-trivial redshift function α(r).…”

Section: Discussionmentioning

confidence: 99%

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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Section: Discussionmentioning

confidence: 99%

Quantum radiation from a sandwich black hole

Frolov

Zelnikov

2017

Phys. Rev. D

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“…Without loss of generality, locally the geometry of a static and spherically symmetric regular black hole can be written as [11,[17][18][19][20][21][22][23][24] …”

Section: Geometric Settingmentioning

confidence: 99%

On the viability of regular black holes

Carballo-Rubio

Filippo

Liberati

et al. 2018

J. High Energ. Phys.

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175

146

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The evaporation of black holes raises a number of conceptual issues, most of them related to the final stages of evaporation, where the interplay between the central singularity and Hawking radiation cannot be ignored. Regular models of black holes replace the central singularity with a nonsingular spacetime region, in which an effective classical geometric description is available. It has been argued that these models provide an effective, but complete, description of the evaporation of black holes at all times up to their eventual disappearance. However, here we point out that known models fail to be self-consistent: the regular core is exponentially unstable against perturbations with a finite timescale, while the evaporation time is infinite, therefore making the instability impossible to prevent. We also discuss how to overcome these difficulties, highlighting that this can be done only at the price of accepting that these models cannot be fully predictive regarding the final stages of evaporation.

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“…Several authors have obtainedh corrections to the Newtonian potential by taking gravity as an effective theory and performing one-loop graviton calculations [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Sometimes the results of the quantum corrected Newtonian potential is given in a different form,…”

Section: Quantum Corrected Friedmann Equationsmentioning

confidence: 99%

Newtonian cosmology with a quantum bounce

et al. 2016

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It has been known for some time that the cosmological Friedmann equation deduced from general relativity can also be obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to the Newtonian potentials to derive a set a of quantum corrected Friedmann equations. We examine the behavior of the solutions of these modified cosmological equations paying special attention to the sign of the quantum corrections. We find different quantum effects crucially depending on this sign. One such a solution displays a qualitative resemblance to other quantum models like Loop quantum gravity or non-commutative geometry.

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On the effective metric of a Planck star

Cited by 108 publications

References 32 publications

Quantum radiation from a sandwich black hole

Quantum radiation from a sandwich black hole

On the viability of regular black holes

Newtonian cosmology with a quantum bounce

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