New non-Abelian black hole solutions in Born-Infeld gravity

Mazharimousavi, S. Habib; Halilsoy, Mustafa; Amirabi, Zahra

doi:10.1103/physrevd.78.064050

Cited by 29 publications

(33 citation statements)

References 28 publications

(8 reference statements)

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“…The fact that the solutions obtained by this procedure pertain to genuine non-abelian character is obvious from comparison with the other known exact EYM solutions. The EYM solutions obtained by other ansaetze [6][7][8][9][10][11] constructed directly from the non-abelian character and those obtained by our generalized Wu-Yang ansatz [1][2][3][4] are the same. We admit, however, that although our method yields exact solutions it is restricted to spherical symmetry alone.…”

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confidence: 66%

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N-dimensional non-abelian dilatonic, stable black holes and their Born–Infeld extension

2009

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We find large classes of non-asymptotically flat Einstein-Yang-MillsDilaton and Einstein-Yang-Mills-Born-Infeld-Dilaton black holes in N-dimensional spherically symmetric spacetime expressed in terms of the quasilocal mass. Extension of the dilatonic YM solution to N-dimensions has been possible by employing the generalized Wu-Yang ansatz. Another metric ansatz, which aided in finding exact solutions is the functional dependence of the radius function on the dilaton field. These classes of black holes are stable against linear radial perturbations. In the limit of vanishing dilaton we obtain Bertotti-Robinson type metrics with the topology of Ad S 2 ×S N −2 . Since connection can be established between dilaton and a scalar field of Brans-Dicke type we obtain black hole solutions also in the Brans-Dicke-Yang-Mills theory as well.

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confidence: 66%

“…To obtain such metrics we start with a general ansatz metric in the Einstein-Yang-Mills-Dilaton (EYMD) theory. Our ansatz is of BR type instead of the RN type so that in the limit of zero dilaton instead of [1,2], we obtain BR type metrics. This leads us to a particular class of dilatonic solutions coupled with the YM field.…”

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confidence: 99%

N-dimensional non-abelian dilatonic, stable black holes and their Born–Infeld extension

2009

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“…Other strong motivation for considering BI NED comes from the fact that it naturally arises in the low-energy limit of open string theory [90][91][92][93]. We have the following incomplete list showing the investigation of: gravitational fields coupled to BI NED for static black holes [94][95][96][97][98][99][100][101], wormholes [102,103], rotating black objects [104,105], and superconductors [106].…”

Section: Introductionmentioning

confidence: 99%

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

et al. 2017

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This paper is devoted to an investigation of nonlinearly charged dilatonic black holes in the context of gravity's rainbow with two cases: (1) by considering the usual entropy, (2) in the presence of first order logarithmic correction of the entropy. First, exact black hole solutions of dilatonic Born-Infeld gravity with an energy dependent Liouville-type potential are obtained. Then, thermodynamic properties of the mentioned cases are studied, separately. It will be shown that although mass, entropy and the heat capacity are modified due to the presence of a first order correction, the temperature remains independent of it. Furthermore, it will be shown that divergences of the heat capacity, hence phase transition points are also independent of a first order correction, whereas the stability conditions are highly sensitive to variation of the correction parameter. Except for the effects of a first order correction, we will also present a limit on the values of the dilatonic parameter and show that it is possible to recognize AdS and dS thermodynamical behaviors for two specific branches of the dilatonic parameter. In addition, the effects of nonlinear electromagnetic field and energy functions on the thermodynamical behavior of the solutions will be highlighted and dependency of critical behavior, on these generalizations will be investigated. a

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“…(32) and (33) into (3). After some simplifications, we find that the nonzero components of the gravitational field equations lead to four different differential equations e 11 , e 22 , e 33 and e 44 for the unknown function f (r ), in which…”

Section: Thermodynamics Of Asymptotically Ads Rotating Black Branes Wmentioning

confidence: 99%

Thermodynamic instability of topological black holes with nonlinear source

Hendi

Momennia

2015

Eur. Phys. J. C

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In this paper, we obtain higher dimensional topological black hole solutions of Einstein-gravity in the presence of a class of nonlinear electrodynamics. First, we calculate the conserved and thermodynamic quantities of (n + 1)-dimensional asymptotically flat solutions and show that they satisfy the first law of thermodynamics. Also, we investigate the stability of these solutions in the (grand) canonical ensemble. Second, we endow a global rotation to the static Ricci-flat solutions and calculate the conserved quantities of solutions by using the counterterm method. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta and the electric charge, and show that these quantities satisfy the first law of thermodynamics. Then, we perform a stability analysis of the rotating solutions both in the canonical and the grand canonical ensembles.

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New non-Abelian black hole solutions in Born-Infeld gravity

Cited by 29 publications

References 28 publications

N-dimensional non-abelian dilatonic, stable black holes and their Born–Infeld extension

N-dimensional non-abelian dilatonic, stable black holes and their Born–Infeld extension

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

Thermodynamic instability of topological black holes with nonlinear source

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