f (R) black holes

Moon, Taeyoon; Myung, Yun Soo; Son, E. J.

doi:10.1007/s10714-011-1225-3

Cited by 118 publications

(127 citation statements)

References 46 publications

(56 reference statements)

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“…The static black hole solution was found in Ref. [54]. The authors assumed the following metric form:…”

Section: The Action For F (R)-maxwell Gravity Ismentioning

confidence: 99%

Complexity growth rates for AdS black holes in massive gravity and f(R) gravity

Guo

Wei

et al. 2017

Eur. Phys. J. C

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The "complexity = action" duality states that the quantum complexity is equal to the action of the stationary AdS black hole within the Wheeler-DeWitt patch at late time approximation. We compute the action growth rates of the neutral and charged black holes in massive gravity and the neutral, charged and Kerr-Newman black holes in f (R) gravity to test this conjecture. Besides, we investigate the effects of the massive graviton terms, higher derivative terms and the topology of the black hole horizon on the complexity growth rate.

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“…The static black hole solution was found in Ref. [54]. The authors assumed the following metric form:…”

Section: The Action For F (R)-maxwell Gravity Ismentioning

confidence: 99%

Complexity growth rates for AdS black holes in massive gravity and f(R) gravity

Guo

Wei

et al. 2017

Eur. Phys. J. C

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“…The motivation is as follows. On the one hand, studying the black holes and their thermodynamics [64][65][66][67][68][69][70][71][72][73] in f (R) gravity has its own right. f (R) gravity, as a kind of modified gravity theory, serves as an alternative approach other than dark energy to explain the cosmic acceleration.…”

Section: Introductionmentioning

confidence: 99%

Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes

2016

Eur. Phys. J. C

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In this paper, we investigate the thermodynamics of higher-dimensional f (R) black holes in the extended phase space. Both the analytic expressions and the numerical results for the possible critical physical quantities are obtained. It is proved that meaningful critical specific volume only exists when p is odd. This unique phenomenon may be attributed to the combined effect of f (R) gravity and conformally invariant Maxwell field. It is also shown that the ratio P c v c /T c differs from that of higher-dimensional charged AdS black holes in Einstein gravity. However, the ratio for four-dimensional f (R) black holes is the same as that of four-dimensional RN-AdS black holes, implying that f (R) gravity does not influence the ratio. So the ratio may be related to conformally invariant Maxwell field. To probe the phase transition, we derive the explicit expression of the Gibbs free energy with its graph plotted. A phase transition analogous to the van der Waals liquid-gas system takes place between the small black hole and the large black hole. Classical swallow tail behavior, characteristic of first-order phase transitions, can also be observed in the Gibbs free energy graph. Critical exponents are also calculated. It is shown that these exponents are exactly the same as those of other AdS black holes, implying that neither f (R) gravity nor conformally invariant Maxwell field influence the critical exponents. Since the investigated black hole solution depends on the form of the function f (R), we discuss in detail how our results put constraint on the form of the function f (R) and we also present a simple example. a

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“…In addition, adding stresstensor of a matter field to F (R) gravity, increase its difficulties. Recently, it has been shown that one can extract exact analytical solutions of F (R) theory coupled to a traceless energy momentum tensor with constant curvature scalar [18]. For example, taking into account the conformally invariant Maxwell (CIM) field as a matter source, which is traceless in arbitrary dimensions, some black objects of F (R) gravity were obtained in higher dimensions [19].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of three-dimensional black holes: Einstein gravity versus F(R) gravity

Hendi

Panah

Saffari

2014

Int. J. Mod. Phys. D

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In this paper, we consider Einstein gravity in the presence of a class of nonlinear electrodynamics, called power Maxwell invariant (PMI). We take into account (2 + 1)-dimensional spacetime in Einstein-PMI gravity and obtain its black hole solutions. Then, we regard pure F (R) gravity as well as F (R)-conformally invariant Maxwell theory to obtain exact solutions of the field equations with black hole interpretation. Finally, we investigate the conserved and thermodynamic quantities and discuss about the first law of thermodynamics for the mentioned gravitational models.

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f (R) black holes

Cited by 118 publications

References 46 publications

Complexity growth rates for AdS black holes in massive gravity and f(R) gravity

Complexity growth rates for AdS black holes in massive gravity and f(R) gravity

Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes

Exact solutions of three-dimensional black holes: Einstein gravity versus F(R) gravity

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