Black Hole Solutions in Gauss‐Bonnet‐Massive Gravity in the Presence of Power‐Maxwell Field

Hendi, S. H.; Panah, B. Eslam; Panahiyan, S.

doi:10.1002/prop.201800005

Cited by 56 publications

(32 citation statements)

References 172 publications

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“…By taking into account the representation of the effective mass as given by Eqs. (86) and (101), we obtain for the temperature of a HMPG black hole, the expression…”

Section: Thermodynamics Of Hmpg Black Holesmentioning

confidence: 99%

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

et al. 2019

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We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini f (R) formalisms unifying local constraints at the Solar System level and the late-time cosmic acceleration. We adopt the scalar-tensor representation of the hybrid metric-Palatini theory, in which the scalar-tensor definition of the potential can be represented as a Clairaut differential equation. Due to their mathematical complexity, it is difficult to find exact solutions of the vacuum field equations, and therefore we adopt a numerical approach in studying the behavior of the metric functions and of the scalar field. After reformulating the field equations in a dimensionless form, and by introducing a suitable independent radial coordinate, the field equations are solved numerically. We detect the formation of a black hole from the presence of Killing horizon for the time-like Killing vector in the metric tensor components. Several models, corresponding to different functional forms of the scalar field potential are considered. The thermodynamic properties of these black hole solutions (horizon temperature, specific heat, entropy and evaporation time due to Hawking luminosity) are also investigated in detail.

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“…By taking into account the representation of the effective mass as given by Eqs. (86) and (101), we obtain for the temperature of a HMPG black hole, the expression…”

Section: Thermodynamics Of Hmpg Black Holesmentioning

confidence: 99%

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

et al. 2019

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“…Eqs. (36), (37), and (40) constitute a complete static spherically-symmetric solutions of the EiBI-Maxwell system. From the metric part, the solution is asymptotically-flat; i.e., ψ(∞) and f (∞) (in the absence of Λ) go to 1.…”

Section: Ics In Higher Dimensionsmentioning

confidence: 99%

“…On the other hand, from different point of view, there has also been a vast literature in the study of black hole, both in GR as well as in the alternative gravitational theories, with nonlinear electrodynamics (NLED) charge [26][27][28][29][30][31][32][33][34][35][36][37][38][39], most of which are done in four dimensions. In this work we devote our effort to studying the generalization of charged black holes in arbitrary dimensions, both with linear (Maxwell) as well as nonlinear electrodynamics (NLED), in the same way Reissner-Nordstrom-(A)dS is generalized to higher dimensions in [40].…”

Section: Introductionmentioning

confidence: 99%

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Jayawiguna

Ramadhan

2019

Nuclear Physics B

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We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general D-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld (BI) electrodynamics. The solutions describe higherdimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for D > 4. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit ofα ≡ 4κb 2 /λ = 1 and 2. We also investigate their thermodynamical property. We show that all solutions satisfy the first-law of black hole thermodynamics, from which their corresponding ADM mass can be extracted. It is found that κ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of κ. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than their Reissner-Nordstrom (RN) counterparts. * Electronic address: byon.nugraha@ui.ac.id † Electronic address: hramad@ui.ac.id arXiv:1810.08780v4 [gr-qc] 5 Apr 2019Black hole has been an intriguing phenomenon in gravitational physics that fascinates both theoretical physicists as well as astronomers. In General Relativity (GR), the theoretical existence of black holes is inevitable. Observationally, the recent detection of gravitational waves is a solid proof that such object does exist physically [1].Although as a modern cosmological framework general relativity is very successful, several large-scale or strong-field regime phenomena (such as the accelerated expansion of the universe, the big bang singularity, etc) demands a more satisfactory explanation. This is the main reason behind the vast modern literature on modified-gravitational theories beyond GR. Among many excellent alternative theory of gravity, the Eddington-inspired Born-Infeld (EiBI) theory proposed by Banados and Ferreira recently enjoys widespread attention [2]. Constructed based on the old proposal of Eddington gravitational action [3] combined withthe nonlinearity of the Born-Infeld (BI) theory [4], this particular theory resurrects the popular old-Born-Infeld gravity models [5,6]. This theory offers interesting solutions to some theoretical and cosmological problems, like the freedom from ghosts and instabilities [7], or the non-singularity of big bang and big crunch [8,9] (however, see the discussions in [10][11][12]). In nuclear astrophysics the EiBI model finds its (perhaps) most active elaboration since coupling it to the NS equation of state (EOS) enables one to obtain the observed mass of the Neutron Star (NS) while simultaneously solves the "hyperon puzzle" (see, for example, [13,14] and references therein). For a comprehensive review on EiBI gravity, see [15].Despite the extensive investigation on the astroph...

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“…In the papers [66,67,68,69,70] the thermodynamics of black hole in Gauss-Bonnet massive gravity theory were studied and in this paper, for the sake of completeness, we will adopt the metric solutions therein to calculate the associated butterfly velocity.…”

Section: Gauss-bonnet Massive Gravitymentioning

confidence: 99%

Butterfly velocity in quadratic gravity

Huang

2018

Class. Quantum Grav.

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We present a systematic procedure of finding the shock wave equation in anisotropic spacetime of quadratic gravity with Lagrangian L = R +Λ+αR µνσρ R µνσρ +βR µν R µν +γR 2 +L matter . The general formula of the butterfly velocity is derived. We show that the shock wave equation in the planar, spherical or hyperbolic black hole spacetime of Einstein-Gauss-Bonnet gravity is the same as that in Einstein gravity if space is isotropic. We consider the modified AdS spacetime deformed by the leading correction of the quadratic curvatures and find that the fourth order derivative shock wave equation leads to two butterfly velocities if 4α + β < 0. We also show that the butterfly velocity in the D=4 planar black hole is not corrected by the quadratic gravity if 4α + β = 0, which includes the R 2 gravity. In general, the correction of butterfly velocity by the quadratic gravity may be positive or negative, depends on the values of α, β, γ and temperature. We also investigate the butterfly velocity in the Gauss-Bonnet massive gravity.

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Black Hole Solutions in Gauss‐Bonnet‐Massive Gravity in the Presence of Power‐Maxwell Field

Cited by 56 publications

References 172 publications

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Butterfly velocity in quadratic gravity

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