Gravitational Energy in Quadratic-Curvature Gravities

Deser, S.; Tekin, Bayram

doi:10.1103/physrevlett.89.101101

Cited by 311 publications

(502 citation statements)

References 6 publications

(11 reference statements)

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“…As a final comment, we want to stress that the expression for the mass (5.9) coincides with the one obtained through the quasilocal generalization of the ADT formalism [35][36][37][38][39] as presented in refs. [40,41].…”

Section: Jhep04(2017)066mentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing R 5 terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes. These theories have recently received attention since when formulated on asymptotically AdS spacetimes might provide for gravity duals of a broad class of CFTs. For simplicity we focus on five dimensions. We show that this theory fulfils a Birkhoff's Theorem as it is the case in Lovelock gravity and therefore, for generic values of the couplings, there is no s-wave propagating mode. We prove that the spherically symmetric solution is determined by a quintic algebraic polynomial equation which resembles Wheeler's polynomial of Lovelock gravity. For the black hole solutions we compute the temperature, mass and entropy and show that the first law of black holes thermodynamics is fulfilled. Besides of being of fourth order in general, we show that the field equations, when linearized around AdS are of second order, and therefore the theory does not propagate ghosts around this background. Besides the class of theories originally introduced in arXiv:1003.4773, the general geometric structure of these Lagrangians remains an open problem.

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Section: Jhep04(2017)066mentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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“…There has been much to-ing and fro-ing in the literature over the years regarding this issue [7,8,10,11]. We will review some of the various arguments in the next section, before clarifying the situation, we hope, once and for all.…”

Section: Jhep12(2008)038mentioning

confidence: 99%

The instability of vacua in Gauss-Bonnet gravity

Charmousis

Padilla

2008

J. High Energy Phys.

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Owing to the quadratic nature of the theory, Einstein-Gauss-Bonnet gravity generically permits two distinct vacuum solutions. One solution (the "Einstein" vacuum) has a well defined limit as the Gauss-Bonnet coupling goes to zero, whereas the other solution (the "stringy" vacuum) does not. There has been some debate regarding the stability of these vacua, most recently from Deser & Tekin who have argued that the corresponding black hole solutions have positive mass and as such both vacua are stable. Whilst the statement about the mass is correct, we argue that the stringy vacuum is still perturbatively unstable. Simply put, the stringy vacuum suffers from a ghost-like instability that is not excited by the spherically symmetric black hole, but would be excited by any source likely to emit gravitational waves, such as a binary system. This result is reliable except in the strongly coupled regime close to the Chern-Simons limit, when the two vacua are almost degenerate. In this regime, we study instanton transitions between branches via bubble nucleation, and calculate the nucleation probability. This demonstrates that there is large mixing between the vacua, so that neither of them can accurately describe the true quantum vacuum. We also present a new gravitational instanton describing black hole pair production in de Sitter space on the Einstein branch, which is preferred to the usual Nariai instantons and is not present in pure Einstein gravity.

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“…We will also extend these results to the case of charged planar black holes, where again the ground state is identified with the soliton derived from the neutral and nonrotating black hole. Since the soliton is devoid of any integration constant, its mass will be computed using the quasilocal generalization of the ADT formalism [22][23][24][25][26] as presented in refs. [27,28].…”

Section: Jhep04(2017)092mentioning

confidence: 99%

A Cardy-like formula for rotating black holes with planar horizon

Bravo‐Gaete

Guajardo

2017

J. High Energ. Phys.

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We show that the semiclassical entropy of D−dimensional rotating (an)isotropic black holes with planar horizon can be successfully computed according to a Cardy-like formula. This formula does not refer to any central charges but instead involves the vacuum energy which is identified with a gravitational bulk soliton. The soliton is obtained from the non-rotating black hole solution by means of a double analytic continuation. The robustness of the Cardy-like formula is tested with numerous and varied examples, including AdS, Lifshitz and hyperscaling violation planar black holes.

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Gravitational Energy in Quadratic-Curvature Gravities

Cited by 311 publications

References 6 publications

Quintic quasi-topological gravity

Quintic quasi-topological gravity

The instability of vacua in Gauss-Bonnet gravity

A Cardy-like formula for rotating black holes with planar horizon

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