Topological electro-vacuum solutions in extended gravity

Cognola, Guido; Elizalde, E.; Sebastiani, Lorenzo; Zerbini, Sergio

doi:10.1103/physrevd.86.104046

Cited by 11 publications

(11 citation statements)

References 71 publications

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“…This model has been extensively studied, and static black hole solutions have been found [40][41][42]. The corresponding topological black hole solutions have been investigated in [43][44][45][46].…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics of topological black holes inR2gravity

et al. 2015

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We study topological black hole solutions of the simplest quadratic gravity action and we find that two classes are allowed. The first is asymptotically flat and mimics the Reissner-Nordström solution, while the second is asymptotically de Sitter or anti-de Sitter. In both classes, the geometry of the horizon can be spherical, toroidal or hyperbolic. We focus in particular on the thermodynamical properties of the asymptotically anti-de Sitter solutions and we compute the entropy and the internal energy with Euclidean methods. We find that the entropy is positive-definite for all horizon geometries and this allows to formulate a consistent generalized first law of black hole thermodynamics, which keeps in account the presence of two arbitrary parameters in the solution.The two-dimensional thermodynamical state space is fully characterized by the underlying scale invariance of the action and it has the structure of a projective space. We find a kind of duality between black holes and other objects with the same entropy in the state space. We briefly discuss the extension of our results to more general quadratic actions. *

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Section: Discussionmentioning

confidence: 99%

Thermodynamics of topological black holes inR2gravity

et al. 2015

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“…The form of B(r) can be derived by taking the derivative respect to r of the Equation (13), but in general it is not possible to fully reconstruct the corresponding F (R)-model (see Refs. [12,13] for details). On the other hand, when a = 0 we recover the constant Ricci scalar case already treated in the preceding subsection, while if one poses b = 0 we get…”

Section: Solutions With α(R) = Constmentioning

confidence: 99%

“…An explicit example is the following: a = 2, thus δ = −2. The corresponding model with cosmological constant is given by [13],…”

Section: Clifton-barrow Solutionsmentioning

confidence: 99%

“…Beside these "trivial" black hole solutions, we will present the computation of the action growth associated with non trivial black hole (vacuum) solutions with non constant Ricci curvature, found in Refs. [8,9,10,11,12,13]. Some of these static solutions represent "dirty BHs" [14], namely ones in which the (00)-and (11)-metric components are related as g00g11 = −1.…”

Section: Introductionmentioning

confidence: 99%

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Action growth for black holes in modified gravity

2018

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The general form of the action growth for a large class of static black hole solutions in modified gravity which includes F (R)-gravity models is computed. The cases of black hole solutions with non constant Ricci scalar are also considered, generalizing the results previously found and valid only for black holes with constant Ricci scalar. An argument is put forward to provide a physical interpretation of the results, which seem tightly connected with the generalized second law of black hole thermodynamics

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“…Within the class of spherically symmetric systems, this approach has recurrently been used to find new solution of f (R) gravity theories (see, e.g., Eq. (12) of [39] and Eq. (15) of [40]).…”

Section: A Simplifying Hypothesis and The Ansatz For The Mass Functionmentioning

confidence: 99%

Regular black holes inf(R)gravity coupled to nonlinear electrodynamics

et al. 2016

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We obtain a class of regular black hole solutions in four-dimensional f (R) gravity, R being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes are assumed. The resulting f (R) and nonlinear electrodynamics functions are characterized by a one-parameter family of solutions which are generalizations of known regular black holes in general relativity coupled to nonlinear electrodynamics. The related regular black holes of general relativity are recovered when the free parameter vanishes, in which case one has f (R) ∝ R. We analyze the regularity of the solutions and also show that there are particular solutions that violate only the strong energy condition

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Topological electro-vacuum solutions in extended gravity

Cited by 11 publications

References 71 publications

Thermodynamics of topological black holes inR2gravity

Thermodynamics of topological black holes inR2gravity

Action growth for black holes in modified gravity

Regular black holes inf(R)gravity coupled to nonlinear electrodynamics

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