Holographic studies of the generic massless cubic gravities

Li, Yue-Zhou

doi:10.1103/physrevd.99.066014

Cited by 23 publications

(24 citation statements)

References 159 publications

(309 reference statements)

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“…The Kovtun-Son-Starinets bound on the ratio of entropy density to shear viscosity always holds [35], and small asymptotically flat black hole solutions were found to be stable [27], which may have implications for the information loss problem. Further holographic applications of this class of theories have been carried out, with discussions of the a-theorem, the universal stress-tensor two-point function and a universal relation for central charges [36][37][38]; more recently an extensive investigation of the holographic properties of the cubic case without massive modes was carried out, including holographic central charges, energy flux, Renyi entropies, and shear viscosity to entropy ratio [39]. Other recent work has shown that the shadows of GQG black holes have potentially interesting phenomenological signatures [9,10].…”

Section: Introductionmentioning

confidence: 99%

On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography

Mir

Mann

2019

J. High Energ. Phys.

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We investigate the thermodynamic behaviour of asymptotically anti de Sitter black holes in generalized quasi-topological gravity containing terms both cubic and quartic in the curvature. We investigate the general conditions required for physical phase transitions and critical behaviour in any dimension and then consider in detail specific properties in spacetime dimensions 4, 5, and 6. We find for spherical black holes that there are respectively at most two and three physical critical points in five and six dimensions. For hyperbolic black holes we find the occurrence of Van der Waals phase transitions in four dimensions and reverse Van der Waals phase transitions in dimensions greater than 4 if both cubic and quartic curvature terms are present. We also observe the occurrence of phase transitions in for fixed chemical potential. We consider some applications of our work in the dual CFT, investigating how the ratio of viscosity to entropy is modified by inclusion of these higher curvature terms. We conclude that the presence of the quartic curvature term results in a violation of the KSS bound in five dimensions, but not in other dimensions.

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Section: Introductionmentioning

confidence: 99%

On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography

Mir

Mann

2019

J. High Energ. Phys.

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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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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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Holographic studies of the generic massless cubic gravities

Cited by 23 publications

References 159 publications

On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography

On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography

(Generalized) quasi-topological gravities at all orders

All higher-curvature gravities as Generalized quasi-topological gravities

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