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

Awad, Adel; Capozziello, Salvatore; Nashed, G. G. L.

doi:10.1007/jhep07(2017)136

Cited by 61 publications

(87 citation statements)

References 63 publications

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“…We notice that setting the rotational parameter Ω = 0, we find the static charged black hole configuration, as in Ref. [26]. Moreover, turning off the mass parameter M and Q, the metric (13) reduces to, the 4D AdS metric in an uncommon coordinate system.…”

Section: B Rotating Charged Ads Black Holessupporting

confidence: 64%

Hidden conformal symmetry of the rotating charged AdS black holes in quadratic f(T) gravity

Bernard

Ghezelbash

2020

Phys. Rev. D

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The nonextremal Kerr black holes have been considered to be holographically dual to twodimensional (2D) conformal field theories (CFTs). In this paper, we extend the holography to the case of an asymptotically anti-de Sitter (AdS) rotating charged black holes in f (T ) gravity, where f (T ) = T + αT 2 , where α is a constant. We find that the scalar wave radial equation at the near-horizon region implies the existence of the 2D conformal symmetries. We note that the 2π identification of the azimuthal angle φ in the black hole line element, corresponds to a spontaneous breaking of the conformal symmetry by left and right temperatures TL and TR, respectively. We show that choosing proper central charges for the dual CFT, we produce exactly the macroscopic Bekenstein-Hawking entropy from the microscopic Cardy entropy for the dual CFT. These observations suggest that the rotating charged AdS black hole in f (T ) gravity is dual to a 2D CFT at finite temperatures TL and TR for a specific value of mass M , rotational, charge, and f (T ) parameters, Ω, Q, and |α|, respectively.

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Section: B Rotating Charged Ads Black Holessupporting

confidence: 64%

Hidden conformal symmetry of the rotating charged AdS black holes in quadratic f(T) gravity

Bernard

Ghezelbash

2020

Phys. Rev. D

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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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“…(iv) The ( ) gravitational theory whose field equations are of second order [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80] (v) The one known as ( ) theories which we focused the present study on [81] It is shown that ( ) gravitational theories are able to describe the whole story of cosmology starting from inflation to the present accelerated expansion epoch [82]. Many applications of ( ) gravitational theories have been carried out [83,84].…”

Section: Introductionmentioning

confidence: 99%

Higher Dimensional Charged Black Hole Solutions in f(R) Gravitational Theories

Nashed

2018

Advances in High Energy Physics

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We present, without any assumption, a class of electric and magnetic flat horizon -dimension solutions for a specific class of ( ) = + 2 , all of which behave asymptotically as Anti-de-Sitter spacetime. The most interesting property of these solutions is that the higher dimensions black holes, > 4, always have constant electric and magnetic charges in contrast to what is known in the literature. For = 4, we show that the magnetic field participates in the metric on equal foot as the electric field participates. Another interesting result is the fact that the Cauchy horizon is not identical with the event horizon. We use Komar formula to calculate the conserved quantities. We study the singularities and calculate the Hawking temperature and entropy and show that the first law of thermodynamics is always satisfied.

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

Cited by 61 publications

References 63 publications

Hidden conformal symmetry of the rotating charged AdS black holes in quadratic f(T) gravity

Hidden conformal symmetry of the rotating charged AdS black holes in quadratic 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

Higher Dimensional Charged Black Hole Solutions in f(R) Gravitational Theories

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