A note on Schwarzschild–de Sitter black holes in mimetic F(R) gravity

Oikonomou, V. K.

doi:10.1142/s0218271816500784

Cited by 33 publications

(23 citation statements)

References 105 publications

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“…Also, a second order phase transition has been realized in the case of KN-AdS [106]. In the mimetic f (R) gravitational theory the action is adjusted by making use of a Lagrangian multiplier and mimetic potential, then a vacuum solution of RN-AdS black hole has been derived under some restrictions distinguishing this mimetic f (R) variant from the f (R) gravity [53]. It is the aim of the present study to derive a novel class of solutions of charged black holes coupled with the linear and the nonlinear electrodynamics Maxwell field in the context of mimetic gravitational theory.…”

Section: Introductionmentioning

confidence: 99%

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Nashed

Hanafy

Bamba

2019

J. Cosmol. Astropart. Phys.

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In mimetic gravity, we derive D-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear forms of the Maxwell field equations in two separate contexts. For the nonlinear case, we derive a new solution having a metric with monopole, dipole and quadrupole terms. The most interesting feature of this black hole is that its dipole and quadruple terms are related by a constant. However, the solution reduces to the linear case of the Maxwell field equations when this constant acquires a null value. Also, we apply a coordinate transformation and derive rotating black hole solutions (for both linear and nonlinear cases). We show that the nonlinear black hole has stronger curvature singularities than the corresponding known black hole solutions in general relativity. We show that the obtained solutions could have at most two horizons. We determine the critical mass of the degenerate horizon at which the two horizons coincide. We study the thermodynamical stability of the solutions. We note that the nonlinear electrodynamics contributes to process a second-order phase transition whereas the heat capacity has an infinite discontinuity.

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Section: Introductionmentioning

confidence: 99%

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Nashed

Hanafy

Bamba

2019

J. Cosmol. Astropart. Phys.

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“…While the cosmology of the theory is investigated in [7], the unimodular mimetic cosmology, null energy condition violation, and f (R) mimetic dark matter are addressed in [8], [9], and [10], respectively. In mimetic f (R) gravity, dark energy oscillations, unified inflation-dark energy evolution of the universe, aspects of late time evolution of the universe, Schwarzschild de sitter black holes and unimodular mimetic f (R) inflation is discussed respectively in [11], [12], [13], [14] and [15]. Mimetic theory with higher derivatives has ghost degrees of freedom [16].…”

Section: Introductionmentioning

confidence: 99%

Mimetic f(T) teleparallel gravity and cosmology

Mirza

Oboudiat

2019

Gen Relativ Gravit

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We formulate mimetic theory in f (T ) teleparallel gravity where T is torsion scalar. It is shown that the construction of the mimetic theory in the teleparallel gravity requires the vierbeins to be left unchanged and the conformal transformation performed on the Minkowski metric of the tangent space. It is further argued that the conformal degree of freedom in this teleparallel mimetic theory becomes dynamical and mimics the behavior of cold dark matter. We also show that it is possible to employ the Lagrange multipliers method to formulate the mimetic theory in an f (T ) theory without any auxiliary metric. The mimetic f (T ) theory is examined by the method of dynamical system and it is found that there are five fixed points representing inflation, radiation, matter, mimetic dark matter and dark energy dominated eras in the theory if some conditions are satisfied. We examined the power-law model and its phase trajectories with these conditions.

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“…In extended theories of gravity, extremal Schwarzschild-de Sitter black holes, also called Nariai solution, can be unstable. This phenomena was firstly discovered by Bousso, Hawking, Nojiri and Odintsov in context of quantum dilaton-gravity [1][2][3][4] and re-discovered in various extensions of General Relativity [5][6][7][8][9][10][11][12][13][14][15][16][17] later on.…”

Section: Introductionmentioning

confidence: 99%

Suppression of Bekenstein–Hawking radiation in f(T)-gravity

Addazi

2018

Int. J. Mod. Phys. A

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We discuss semiclassical Nariai black holes in the framework of f (T )-gravity. For a diagonal choice of tetrades, stable Nariai metrics can be found, emitting Bekenstein-Hawking radiation in semiclassical limit. However, for a non-diagonal choice of tetrades, evaporation and antievaporation instabilities are turned on. In turn, this causes a back-reaction effect suppressing the Bekenstein-Hawking radiation. In particular, evaporation instabilities produce a new radiation -different by Bekenstein-Hawking emission -non-violating unitarity in particle physics sector.

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A note on Schwarzschild–de Sitter black holes in mimetic F(R) gravity

Cited by 33 publications

References 105 publications

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Mimetic f(T) teleparallel gravity and cosmology

Suppression of Bekenstein–Hawking radiation in f(T)-gravity

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