Analytic rotating black-hole solutions in N-dimensional f(T) gravity

Nashed, G. G. L.; Hanafy, W. El

doi:10.1140/epjc/s10052-017-4663-6

Cited by 49 publications

(30 citation statements)

References 73 publications

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“…A part from these cosmological applications some interesting black holes solutions were discovered and studied in the context of f (T ) theories. One of the most studied models of these theories is f (T ) = T + β T 2 , where spherically symmetric approximate solution was found and analyzed [45][46][47][48][49][50], furthermore, the higher-torsion correction term was constrained in this theory using the Solar System data.…”

Section: Jhep07(2017)136mentioning

confidence: 99%

D-dimensional charged Anti-de-Sitter black holes in f (T) gravity

Awad

Capozziello

Nashed

2017

J. High Energ. Phys.

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We present a D-dimensional charged Anti-de-Sitter black hole solutions in f (T ) gravity, where f (T ) = T + βT 2 and D ≥ 4. These solutions are characterized by flat or cylindrical horizons. The interesting feature of these solutions is the existence of inseparable electric monopole and quadrupole terms in the potential which share related momenta, in contrast with most of the known charged black hole solutions in General Relativity and its extensions. Furthermore, these solutions have curvature singularities which are milder than those of the known charged black hole solutions in General Relativity and Teleparallel Gravity. This feature can be shown by calculating some invariants of curvature and torsion tensors. Furthermore, we calculate the total energy of these black holes using the energymomentum tensor. Finally, we show that these charged black hole solutions violate the first law of thermodynamics in agreement with previous results.

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Section: Jhep07(2017)136mentioning

confidence: 99%

D-dimensional charged Anti-de-Sitter black holes in f (T) gravity

Awad

Capozziello

Nashed

2017

J. High Energ. Phys.

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“…related to this, a numerous of research papers have been focused on the study of black hole solutions, as e.g. [5][6][7][8][9][10][11][12][13][14], and neutron stars solutions [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. We should note that f (R) theories can be related with theories of Brans-Dicke type (see, e.g., [29]), in particular with the ones involving a scalar and a potential of gravitational origin [30,31].…”

Section: Introductionmentioning

confidence: 99%

Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in Einstein’s and Jordan’s frames

et al. 2020

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Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: f (R) = R + 2β √ R, with or without a cosmological constant. The new black holes behave asymptotically as flat or (A)dS space-times with a dynamical value of the Ricci scalar given by R = 1 r 2 and R = 8r 2 Λ+1 r 2 , respectively. They are characterized by three parameters, namely their mass and electric and magnetic charges, and constitute black hole solutions different from those in Einstein's general relativity. Their singularities are studied by obtaining the Kretschmann scalar and Ricci tensor, which shows a dependence on the parameter β that is not permitted to be zero. A conformal transformation is used to display the black holes in Einstein's frame and check if its physical behavior is changed w.r.t. the Jordan one. The thermal stability of the solutions is discussed by using thermodynamical quantities, in particular the entropy, the Hawking temperature, the quasi-local energy, and the Gibbs free energy. Also, the casual structure of the new black holes is studied, and a stability analysis is performed in both frames using the odd perturbations technique and the study of the geodesic deviation. It is concluded that, generically, there is coincidence of the physical properties of the novel black holes in both frames, although this turns not to be the case for the Hawking temperature.

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“…[17][18][19][20][21][22] and the torsion based f (T ) teleparallel gravity, c.f. [23][24][25][26][27][28][29][30] (for recent reviews on modified theories of gravity and the issue of dark energy, see, for example [15,16,22,[31][32][33][34]). Another modified scenario that has been proposed recently is the mimetic gravity one [35].…”

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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Analytic rotating black-hole solutions in N-dimensional f(T) gravity

Cited by 49 publications

References 73 publications

D-dimensional charged Anti-de-Sitter black holes in f (T) gravity

D-dimensional charged Anti-de-Sitter black holes in f (T) gravity

Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in Einstein’s and Jordan’s frames

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

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