Aspects of general higher-order gravities

Bueno, Pablo; Cano, Pablo A.; Min, Vincent S.; Visser, Manus R.

doi:10.1103/physrevd.95.044010

Cited by 125 publications

(158 citation statements)

References 448 publications

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“…This result reduces to the expression for the Einsteinian cubic gravity in four dimensions [20,32]. It is a distinguishing feature of the theory including S d that the Iyer-Wald entropy includes terms proportional to f (r + ): these terms are not present in Lovelock and quasi-topological theories.…”

Section: Black Hole Solutionsmentioning

confidence: 93%

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Generalized quasitopological gravity

2017

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We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable properties: i) it has a well-defined Einstein gravity limit ii) it admits 'Schwarzschild-like' solutions characterized by a single metric function iii) on maximally symmetric backgrounds it propagates the same degrees of freedom as Einstein's gravity iv) Lovelock and quasi-topological gravities, as well as the recently developed Einsteinian cubic gravity ArXiv:1607.06463 in four dimensions, are recovered as special cases. We perform a brief analysis of asymptotically flat black holes in this theory and study their thermodynamics.

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Section: Black Hole Solutionsmentioning

confidence: 93%

“…The linear equations of motion can be efficiently obtained using the method introduced in [19,32]-they are given by…”

Section: Linearized Field Equationsmentioning

confidence: 99%

Generalized quasitopological gravity

2017

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“…Recently, the authors of [42] and [43] introduced a simple method for linearizing higherderivative theories around maximally symmetric backgrounds. Their method relies on the evaluation of the Lagrangian on a deformed curvature that depends on two auxiliary parameters.…”

Section: No-ghosts On Adsmentioning

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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“…There are other theories with R 3 terms that can be written in 5 dimensions and in which black holes can be studied; see for instance the recent works [18][19][20][21].…”

Section: The Gravitational Actionmentioning

confidence: 99%

Black holes in quasi-topological gravity and conformal couplings

Chernicoff

Fierro

Giribet

et al. 2017

J. High Energ. Phys.

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Lovelock theory of gravity provides a tractable model to investigate the effects of higher-curvature terms in the context of AdS/CFT. Yielding second order, ghost-free field equations, this theory represents a minimal setup in which higher-order gravitational couplings in asymptotically Anti-de Sitter (AdS) spaces, including black holes, can be solved analytically. This however has an obvious limitation as in dimensions lower than seven, the contribution from cubic or higher curvature terms is merely topological. Therefore, in order to go beyond quadratic order and study higher terms in AdS 5 analytically, one is compelled to look for other toy models. One such model is the so-called quasi-topological gravity, which, despite being a higher-derivative theory, provides a tractable setup with R 3 and R 4 terms. In this paper, we investigate AdS 5 black holes in quasi-topological gravity. We consider the theory conformally coupled to matter and in presence of Abelian gauge fields. We show that charged black holes in AdS 5 which, in addition, exhibit a backreaction of the matter fields on the geometry can be found explicitly in this theory. These solutions generalize the black hole solution of quasi-topological gravity and exist in a region of the parameter spaces consistent with the constraints coming from causality and other consistency conditions. They have finite conserved charges and exhibit non-trivial thermodynamical properties.

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Aspects of general higher-order gravities

Cited by 125 publications

References 448 publications

Generalized quasitopological gravity

Generalized quasitopological gravity

Quintic quasi-topological gravity

Black holes in quasi-topological gravity and conformal couplings

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