Phenomenological aspects of black holes beyond general relativity

Carballo-Rubio, Raúl; Filippo, Francesco Di; Liberati, Stefano; Visser, Matt

doi:10.1103/physrevd.98.124009

Cited by 192 publications

(198 citation statements)

References 207 publications

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“…where F (1) and F (2) are the derivatives of F with respect to tr(K) and tr(K 2 ) respectively. From these expressions, we immediately show the two following relations…”

Section: Discussionmentioning

confidence: 99%

“…In these equations, F (1) and F (2) are viewed as functions of tr(p) and tr(p 2 ) using (2.9). Finally, the Hamiltonian can be obtained immediately, and after a short calculation, we show that…”

Section: Canonical Analysis and Deformed Hamiltonian Constraintmentioning

confidence: 99%

“…Since a complete and consistent quantum theory of gravity is still missing, important efforts towards the understanding of the quantum description of black hole have been focused on developing instead effective approaches. The construction of effective regular black holes geometries have triggered an important activity over the last decades, initiated by the work of Bardeen (see [1] for a review). However, such ad hoc models suffer from several inconsistencies, and in particular, fail to provide a framework to discuss completely the end point of the evaporation 1 , as they predict generically an infinite time of evaporation [3].…”

Section: Introductionmentioning

confidence: 99%

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Deformed General Relativity and Quantum Black Holes Interior

2020

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Effective models of black holes interior have led to several proposals for regular black holes. In the so-called polymer models, based on effective deformations of the phase space of spherically symmetric general relativity in vacuum, one considers a deformed Hamiltonian constraint while keeping a non-deformed vectorial constraint, leading under some conditions to a notion of deformed covariance. In this article, we revisit and study further the question of covariance in these deformed gravity models. In particular, we propose a Lagrangian formulation for these deformed gravity models where polymer-like deformations are introduced at the level of the full theory prior to the symmetry reduction and prior to the Legendre transformation. This enables us to test whether the concept of deformed covariance found in spherically symmetric vacuum gravity can be extended to the full theory, and we show that, in the large class of models we are considering, the deformed covariance can not be realized beyond spherical symmetry in the sense that the only deformed theory which leads to a closed constraints algebra is general relativity. Hence, we focus on the spherically symmetric sector, where there exist non-trivial deformed but closed constraints algebras. We investigate the possibility to deform the vectorial constraint as well and we prove that non-trivial deformations of the vectorial constraint with the condition that the constraints algebra remains closed do not exist. Then, we compute the most general deformed Hamiltonian constraint which admits a closed constraints algebra and thus leads to a well-defined effective theory associated with a notion of deformed covariance. Finally, we study static solutions of these effective theories and, remarkably, we solve explicitly and in full generality the corresponding modified Einstein equations, even for the effective theories which do not satisfy the closeness condition. In particular, we give the expressions of the components of the effective metric (for static and spherically symmetric black holes interior) in terms of the functions that govern the deformations of the theory.

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“…where F (1) and F (2) are the derivatives of F with respect to tr(K) and tr(K 2 ) respectively. From these expressions, we immediately show the two following relations…”

Section: Discussionmentioning

confidence: 99%

Section: Canonical Analysis and Deformed Hamiltonian Constraintmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Deformed General Relativity and Quantum Black Holes Interior

2020

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“…Instead, the common strategy has been to develop effective models to discuss some of these aspects with the hope that the conclusions would reveal to be robust enough when embedded in the full theory; see e.g. the reviews [10][11][12]. Following this strategy, this work presents a new effective approach, independent of the details of specific quantum gravity proposals, which allows for the description of a bouncing compact object and addresses some of the above questions.…”

Section: Introductionmentioning

confidence: 99%

Bouncing compact objects. Part I. Quantum extension of the Oppenheimer-Snyder collapse

Achour

Brahma

Uzan

2020

J. Cosmol. Astropart. Phys.

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This article proposes a generalization of the Oppenheimer-Snyder model which describes a bouncing compact object. The corrections responsible for the bounce are parameterized in a general way so as to remain agnostic about the specific mechanism of singularity resolution at play. It thus develops an effective theory based on a thin shell approach, inferring generic properties of such a UV complete gravitational collapse. The main result comes in the form of a strong constraint applicable to general UV models : if the dynamics of the collapsing star exhibits a bounce, it always occurs below, or at most at the energy threshold of horizon formation, so that only an instantaneous trapping horizon may be formed while a trapped region never forms. This conclusion relies solely on i) the assumption of continuity of the induced metric across the time-like surface of the star and ii) the assumption of a classical Schwarzschild geometry describing the (vacuum) exterior of the star. In particular, it is completely independent of the choice of corrections inside the star which leads to singularityresolution. The present model provides thus a general framework to discuss bouncing compact objects, for which the interior geometry is modeled either by a classical or a quantum bounce. In the latter case, our no-go result regarding the formation of trapped region suggests that additional structure, such as the formation of an inner horizon, is needed to build consistent models of matter collapse describing black-to-white hole bounces. Indeed, such additional structure is needed to keep quantum gravity effects confined to the high curvature regime, in the deep interior region, providing thus a new challenge for current constructions of quantum black-to-white hole bounce models. 4 In this model, the authors use the light-like version of the junction conditions discussed in Ref. [82]. 5 See Ref.[91] for a similar model.

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“…Compact field objects have also been investigated within the context of modified theories of gravity [13]. The latter are motivated by a blend of theoretical, astrophysical, and cosmological reasons, see e.g.…”

Section: Introductionmentioning

confidence: 99%

New scalar compact objects in Ricci-based gravity theories

Afonso

Olmo

Orazi

et al. 2019

J. Cosmol. Astropart. Phys.

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Taking advantage of a previously developed method, which allows to map solutions of General Relativity into a broad family of theories of gravity based on the Ricci tensor (Ricci-based gravities), we find new exact analytical scalar field solutions by mapping the free-field static, spherically symmetric solution of General Relativity (GR) into quadratic f (R) gravity and the Eddingtoninspired Born-Infeld gravity. The obtained solutions have some distinctive feature below the wouldbe Schwarzschild radius of a configuration with the same mass, though in this case no horizon is present. The compact objects found include wormholes, compact balls, shells of energy with no interior, and a new kind of object which acts as a kind of wormhole membrane. The latter object has Euclidean topology but connects antipodal points of its surface by transferring particles and null rays across its interior in virtually zero affine time. We point out the relevance of these results regarding the existence of compact scalar field objects beyond General Relativity that may effectively act as black hole mimickers. *

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Phenomenological aspects of black holes beyond general relativity

Cited by 192 publications

References 207 publications

Deformed General Relativity and Quantum Black Holes Interior

Deformed General Relativity and Quantum Black Holes Interior

Bouncing compact objects. Part I. Quantum extension of the Oppenheimer-Snyder collapse

New scalar compact objects in Ricci-based gravity theories

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