Extremal rotating black holes in Einsteinian cubic gravity

Cano, Pablo A.; Pereñiguez, David

doi:10.1103/physrevd.101.044016

Cited by 38 publications

(24 citation statements)

References 74 publications

(142 reference statements)

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“…This makes it difficult to construct these metrics, even in Einstein gravity, let alone higher order gravities. Many constructions in literature use the numerical approach or take the slow rotation approximation, e.g., [46][47][48][49][50][51][52][53][54], which is of no use for our purpose of comparing the centrifugal and gravitational forces in the extremal limit.…”

Section: Jhep01(2021)201mentioning

confidence: 99%

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality

Lü

2021

J. High Energ. Phys.

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We consider perturbative solutions in Einstein gravity with higher-derivative extensions and address some subtle issues of taking extremal limit. As a concrete new result, we construct the perturbative rotating black hole in five dimensions with equal angular momenta J and general mass M in Einstein-Gauss-Bonnet gravity, up to and including the linear order of the standard Gauss-Bonnet coupling constant α. We obtain the near horizon structure of the near extremal solution, with the blackening factor of the order α. In the extremal limit, the mass-angular momentum relation reduces to $$ M=\frac{3}{2}{\pi}^{\frac{1}{3}}{J}^{\frac{2}{3}}+\pi \alpha $$ M = 3 2 π 1 3 J 2 3 + πα . The positive sign of the α-correction implies that the centrifugal repulsion associated with rotations becomes weaker than the gravitational attraction under the unitary requirement for the Gauss-Bonnet term.

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Section: Jhep01(2021)201mentioning

confidence: 99%

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality

Lü

2021

J. High Energ. Phys.

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“…Little is known about rotating solutions in ECG. The only results obtained so far are perturbative in the coupling [35] or refer to the near-horizon geometries of extremal BHs [36], where similar discrete degeneracy of near-horizon solutions was found. Interestingly, the existence of "small" over-extremal solutions has been related to the weak gravity conjecture [37], providing a decay channel for extremal charged BHs.…”

Section: Discussionmentioning

confidence: 92%

Charged black holes in Einsteinian cubic gravity and nonuniqueness

Frassino

Rocha

2020

Phys. Rev. D

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Black holes are the simplest objects in the Universe. They correspond to extreme deformations of spacetime geometry and can exist even devoid of matter. In general relativity, (electro)vacuum black holes are uniquely determined by their mass, charge, and angular momentum. This feature follows from a uniqueness theorem, which can be evaded if one considers higher dimensions or matter fields coupled to gravity. Here we find that Einsteinian cubic gravity, a well-motivated modification of Einstein gravity that includes third-order curvature corrections in accordance with low-energy effective theory expectations, admits black hole solutions with charge greater than mass, when minimally coupled to a Maxwell field. Moreover, we find that, in this regime, there can be two asymptotically flat black holes with the same charge and mass, posing the first example of vacuum black hole nonuniqueness in four dimensions that is free from pathologies. Examination of these black hole's thermodynamics reveals that when two branches coexist only the larger black hole is thermodynamically stable, while the smaller branch has negative specific heat. Einsteinian cubic gravity unveils two further surprising features. The charged black holes do not possess an inner horizon, in contrast with the usual Reissner-Nordström spacetime, thus avoiding the need to resort to strong cosmic censorship to uphold determinism. In addition to black holes, there exists a one-parameter family of naked singularity spacetimes sharing the same mass and charge as the former, but not continuously connected with them. These naked singularities exist in the under-extremal regime, being present even in pure (uncharged) Einsteinian cubic gravity.

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“…A simple and relevant example of this is provided by a minimally coupled Maxwell field, a case which has been explored in refs. [51,55,64,66] in the context of Einsteinian cubic gravity and higher-order GQGs. It is also a satisfactory strategy to couple these theories to non-linear electrodynamics, as recently shown in [75].…”

Section: Jhep10(2020)125mentioning

confidence: 99%

Electromagnetic quasitopological gravities

Cano

Murcia

2020

J. High Energ. Phys.

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We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function f (r) = −gtt = 1/grr. These theories are a non-minimally coupled version of the recently constructed Generalized Quasitopological gravities and they satisfy a number of properties that we establish. We study magnetically-charged black hole solutions in these new theories and we find that for some of them the equations of motion can be fully integrated, enabling us to obtain analytic solutions. In those cases we show that, quite generally, the singularity at the core of the black hole is removed by the higher-derivative corrections and that the solution describes a globally regular geometry. In other cases, the equations are reduced to a second order equation for f (r). Nevertheless, for all the theories it is possible to study the thermodynamic properties of charged black holes analytically. We show that the first law of thermodynamics holds exactly and that the Euclidean and Noether-charge methods provide equivalent results. We then study extremal black holes, focusing on the corrections to the extremal charge-to-mass ratio at a non-perturbative level. We observe that in some theories there are no extremal black holes below certain mass. We also show the existence of theories for which extremal black holes do not represent the minimal mass state for a given charge. The implications of these findings for the evaporation process of black holes are discussed.

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Extremal rotating black holes in Einsteinian cubic gravity

Abstract: 1 There are theories in which Einstein metrics are exact solutions (e.g. if the Lagrangian only contains Ricci curvature [28,29]), and other that possess "non-Schwarzschild" solutions [30,31].We are not including these in our discussion.

Cited by 38 publications

References 74 publications

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality

Charged black holes in Einsteinian cubic gravity and nonuniqueness

Electromagnetic quasitopological gravities

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