Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Ghodsi, Ahmad; Najafi, Farzaneh

doi:10.1140/epjc/s10052-017-5130-0

Cited by 17 publications

(16 citation statements)

References 94 publications

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“…The inclusion of quadratic terms has been shown to lead to violations of the Kovtun-SonStarinets (KSS) viscosity/entropy ratio bound [9,10]. Holography has even motivated the construction of new higher curvature gravities, such as quasi-topological gravity [11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

Generalized quasitopological gravity

2017

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“…Higher-curvature gravities satisfying this property -but not necessarily the GQTG condition eq. (8)-have been also studied in several other papers, e.g.,[28][29][30][31][32][33][34][35][36][37][38].…”

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confidence: 99%

(Generalized) quasi-topological gravities at all orders

Bueno¹,

Cano²,

Hennigar³

2019

Class. Quantum Grav.

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A new class of higher-curvature modifications of D(≥ 4)-dimensional Einstein gravity has been recently identified. Densities belonging to this "Generalized quasi-topological" class (GQTGs) are characterized by possessing non-hairy generalizations of the Schwarzschild black hole satisfying g tt g rr = −1 and by having second-order equations of motion when linearized around maximally symmetric backgrounds. GQTGs for which the equation of the metric function f (r) ≡ −g tt is algebraic are called "Quasi-topological" and only exist for D ≥ 5. In this paper we prove that GQTG and Quasi-topological densities exist in general dimensions and at arbitrarily high curvature orders. We present recursive formulas which allow for the systematic construction of n-th order densities of both types from lower order ones, as well as explicit expressions valid at any order. We also obtain the equation satisfied by f (r) for general D and n. Our results here tie up the remaining loose end in the proof presented in arXiv:1906.00987 that every gravitational effective action constructed from arbitrary contractions of the metric and the Riemann tensor is equivalent, through a metric redefinition, to some GQTG.

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“…Note that higher-curvature gravities satisfying property "1." -and not necessarily the rest of properties appearing in the list, nor condition (2.4)-have been studied in several other papers, e.g.,[20,26,27,[64][65][66][67][68][69][70][71].…”

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confidence: 99%

All higher-curvature gravities as Generalized quasi-topological gravities

Bueno

Cano

Moreno

et al. 2019

J. High Energ. Phys.

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Generalized quasi-topological gravities (GQTGs) are higher-curvature extensions of Einstein gravity characterized by the existence of non-hairy generalizations of the Schwarzschild black hole which satisfy g tt g rr = −1, as well as for having secondorder linearized equations around maximally symmetric backgrounds. In this paper we provide strong evidence that any gravitational effective action involving highercurvature corrections is equivalent, via metric redefinitions, to some GQTG. In the case of theories involving invariants constructed from contractions of the Riemann tensor and the metric, we show this claim to be true as long as (at least) one non-trivial GQTG invariant exists at each order in curvature -and extremely conclusive evidence suggests this is the case in general dimensions. When covariant derivatives of the Riemann tensor are included, the evidence provided is not as definitive, but we still prove the claim explicitly for all theories including up to eight derivatives of the metric as well as for terms involving arbitrary contractions of two covariant derivatives of the Riemann tensor and any number of Riemann tensors. Our results suggest that the physics of generic higher-curvature gravity black holes is captured by their GQTG counterparts, dramatically easier to characterize and universal. As an example, we map the gravity sector of the Type-IIB string theory effective action in AdS 5 at order O(α 3 ) to a GQTG and show that the thermodynamic properties of black holes in both frames match.ArXiv ePrint: 190n.nnnnn arXiv:1906.00987v1 [hep-th]

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Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Cited by 17 publications

References 94 publications

Generalized quasitopological gravity

Generalized quasitopological gravity

(Generalized) quasi-topological gravities at all orders

All higher-curvature gravities as Generalized quasi-topological gravities

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