Nonpolynomial Lagrangian approach to regular black holes

Colléaux, Aimeric; Chinaglia, Stefano; Zerbini, Sergio

doi:10.1142/s0218271818300021

Cited by 25 publications

(18 citation statements)

References 161 publications

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“…In the two-dimensional case, the most general dilatonic action to give the second-order field equations is known and one can construct the action from a given metric of a non-singular black hole [22,83]. In fact, this most general two-dimensional dilatonic action can be obtained by a dimensional reduction imposing spherical symmetry from an n(≥ 4)-dimensional action made of non-polynomial curvature invariants [84,85]. On the other hand, it was shown that the Hayward black hole can be a solution in Degenerate Higher-Order Scalar-Tensor (DHOST) theories [86], which is a generalization of the most general scalar-tensor theory with the second-order field equation, the Horndeski theory, not to suffer from the Ostrogradsky ghost instability.…”

Section: Propositionmentioning

confidence: 99%

Quest for realistic non-singular black-hole geometries: Regular-center type

Maeda¹

2021

Preprint

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We propose seven criteria to single out physically reasonable non-singular black-hole models and adopt them to four different spherically symmetric models with a regular center and their rotating counterparts. In general relativity, all such non-singular black holes are non-generic with a certain matter field including a class of nonlinear electromagnetic fields. According to a criterion that the effective energy-momentum tensor should satisfy all the standard energy conditions in asymptotically flat regions, the well-known Bardeen and Hayward black holes are discarded. In contrast, the Dymnikova and Fan-Wang black holes respect the dominant energy condition everywhere. Although the rotating Fan-Wang black hole contains a curvature singularity, the rotating Dymnikova black hole is free from scalar polynomial curvature singularities and closed timelike curves. In addition, the dominant energy condition is respected on and outside the event horizons in the latter case. The absence of parallelly propagated curvature singularities remains an open question.

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Section: Propositionmentioning

confidence: 99%

Quest for realistic non-singular black-hole geometries: Regular-center type

Maeda¹

2021

Preprint

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“…Based on that work, a number of universal results were obtained for the free energy of odd-dimensional CFTs on squashed spheres [40]. See, for example, [41][42][43][44][45][46] for a number of other recent developments and applications of these -and closely related -theories.…”

Section: Introductionmentioning

confidence: 99%

Black hole chemistry and holography in generalized quasi-topological gravity

Mir

Hennigar

Ahmed

et al. 2019

J. High Energ. Phys.

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We investigate the thermodynamics of AdS black holes in Generalized Quasitopological Gravity with and without electric charge, concentrating on the version of the theory that is cubic in curvature. We study new aspects of Hawking-Page transitions that occur for these black holes. Working within the framework of black hole chemistry, we find a variety of familiar and new critical behaviour and phase transitions in four and higher dimensions for the charged black holes. We also consider some holographic aspects of our work, demonstrating how the ratio of viscosity to entropy is modified by inclusion of these cubic curvature terms.

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“…The simplest possible case of that kind, and the first to be identified, corresponds to a single additional cubic term and goes by the name of four-dimensional Einsteinian cubic gravity 1 (ECG) [10], whose action is given in (8) below. Many examples of GQTG theories in general dimensions have now been constructed, and their respective black hole solutions studied and characterized [11][12][13][14][15][16][17][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

NUTs and bolts beyond Lovelock

Bueno

Cano

Hennigar

et al. 2018

J. High Energ. Phys.

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We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several fourand six-dimensional higher-curvature theories of gravity with various base spaces B. In D = 4, we consider Einsteinian cubic gravity, for which we construct solutions with B = S 2 , T 2 . These represent the first generalizations of the Einstein gravity Taub-NUT/bolt solutions for any highercurvature theory in four dimensions. In D = 6, we show that no new solutions are allowed for any Generalized quasi-topological gravity at cubic order. They exist however when we consider quartic Quasi-topological and Generalized quasi-topological terms, for which we construct new solutions with B = CP 2 , S 2 × S 2 , S 2 × T 2 , T 2 × T 2 . In all cases, the solutions are characterized by a single metric function, and they reduce to the corresponding ones in Einstein gravity when the higher-curvature couplings are set to zero. While the explicit profiles must be constructed numerically (except for a few cases), we obtain fully analytic expressions for the thermodynamic properties of all solutions. The new solutions present important differences with respect to Einstein gravity, including regular bolts for arbitrary values of the NUT charge, critical points, and re-entrant phase transitions.

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Nonpolynomial Lagrangian approach to regular black holes

Cited by 25 publications

References 161 publications

Quest for realistic non-singular black-hole geometries: Regular-center type

Quest for realistic non-singular black-hole geometries: Regular-center type

Black hole chemistry and holography in generalized quasi-topological gravity

NUTs and bolts beyond Lovelock

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