New 2D dilaton gravity for nonsingular black holes

Kunstatter, G.; Maeda, Hideki; Taves, Tim

doi:10.1088/0264-9381/33/10/105005

Cited by 39 publications

(42 citation statements)

References 45 publications

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“…Let us mention that an independent interesting approach to the self-consistency problem are attempts to construct a regular black hole model in the framework of a 2D dilaton gravity, that include both quantum radiation and its back-reaction (see e.g. [59][60][61][62]. Anyway, search for (quantum) consistent nonsingular models of black holes is an interesting open problem which waits for its solution.…”

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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“…Concretely, one assume the metric initially and then solve for the Maxwell field φ and the Lagrangian function K(F µν F µν ). It is found the application of this method is quite a success and is widely used in the construction of the black hole solutions [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories

Gao

et al. 2018

Phys. Rev. D

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A stationary and spherically symmetric black hole (e.g., Reissner-Nordström black hole or Kerr-Newman black hole) has at most one singularity and two horizons. One horizon is the outer event horizon and the other is the inner Cauchy horizon. Can we construct static and spherically symmetric black hole solutions with N horizons and M singularities? De Sitter cosmos has only one apparent horizon. Can we construct cosmos solutions with N horizons? In this article, we present the static and spherically symmetric black hole and cosmos solutions with N horizons and M singularities in the vector-tensor theories. Following these motivations, we also construct the black hole solutions with a firewall. The deviation of these black hole solutions from the usual ones can be potentially tested by future measurements of gravitational waves or black hole continuum spectrum.

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“…Analogs of the Birkhoff theorem have also been found in a variety of extensions of general relativity, see, e.g., the recent papers [11][12][13] and references therein. Extensions of the theorem to quantum gravity models have also been considered [14].…”

Section: Introductionmentioning

confidence: 74%

The Birkhoff theorem and string clouds

Бронников

Kim

Skvortsova

2016

Class. Quantum Grav.

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We consider spherically symmetric space-times in GR under the unconventional assumptions that the spherical radius r is either a constant or has a null gradient in the (t, x) subspace orthogonal to the symmetry spheres (i.e., (∂r) 2 = 0 ). It is shown that solutions to the Einstein equations with r = const contain an extra (fourth) spatial or temporal Killing vector and thus satisfy the Birkhoff theorem under an additional physically motivated condition that the lateral pressure is functionally related to the energy density. This leads to solutions that directly generalize the Bertotti-Robinson, Nariai and Plebanski-Hacyan solutions. Under similar conditions, solutions with (∂r)2 = 0 but r = const , supported by an anisotropic fluid, contain a null Killing vector, which again indicates a Birkhoff-like behavior. Similar space-times supported by pure radiation (in particular, a massless radiative scalar field) contain a null Killing vector without additional assumptions, which leads to one more extension of the Birkhoff theorem. Exact radial wave solutions have been found (i) with an anisotropic fluid and (ii) with a gas of radially directed cosmic strings (or a "string cloud") combined with pure radiation. Furthermore, it is shown that a perfect fluid with isotropic pressure and a massive or self-interacting scalar field cannot be sources of gravitational fields with a null but nonzero gradient of r .

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New 2D dilaton gravity for nonsingular black holes

Cited by 39 publications

References 45 publications

Quantum radiation from a sandwich black hole

Quantum radiation from a sandwich black hole

Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories

The Birkhoff theorem and string clouds

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