Charged and Non-Charged Black Hole Solutions in Mimetic Gravitational Theory

Nashed, G. G. L.

doi:10.3390/sym10110559

Cited by 24 publications

(28 citation statements)

References 121 publications

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“…Besides, many authors have considered different aspects of mimetic gravity during the last years with exciting results. Some examples are black holes [44][45][46][47][48][49][50][51][52][53][54], black strings [55], and braneworld scenarios [56][57][58][59][60][61], among others. For a more exhaustive survey, see and references therein.…”

Section: Jhep10(2020)150mentioning

confidence: 99%

Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Izaurieta

Medina

Merino

et al. 2020

J. High Energ. Phys.

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In this paper, we formulate the Mimetic theory of gravity in first-order formalism for differential forms, i.e., the mimetic version of Einstein-Cartan-Sciama-Kibble (ECSK) gravity. We consider different possibilities on how torsion is affected by Weyl transformations and discuss how this translates into the interpolation between two different Weyl transformations of the spin connection, parameterized with a zero-form parameter λ. We prove that regardless of the type of transformation one chooses, in this setting torsion remains as a non-propagating field. We also discuss the conservation of the mimetic stress-energy tensor and show that the trace of the total stress-energy tensor is not null but depends on both, the value of λ and spacetime torsion.

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Section: Jhep10(2020)150mentioning

confidence: 99%

Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Izaurieta

Medina

Merino

et al. 2020

J. High Energ. Phys.

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“…They also revealed that these two solutions match continuously on the event horizon [27]. The authors of [28,29] considered static and rotating solutions of mimetic gravity with flat or cylindrical horizon in the presence of cosmological constant. However, the obtained solution in [28,29] are indeed nothing but the well-known black brane/string solutions of Einstein gravity.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of [28,29] considered static and rotating solutions of mimetic gravity with flat or cylindrical horizon in the presence of cosmological constant. However, the obtained solution in [28,29] are indeed nothing but the well-known black brane/string solutions of Einstein gravity. The reason is that they have simply assumed g tt = −g rr , and arrived at a special solution of the mimetic field equations.…”

Section: Introductionmentioning

confidence: 99%

Mimetic black strings

Sheykhi

2020

J. High Energ. Phys.

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We present two new classes of black string solutions in the context of mimetic gravity. The horizon topology of these solutions can be either a flat T 2 torus with topology S 1 × S 1 , or a standard cylindrical model with topology R × S 1. The first class describes uncharged rotating black string which its asymptotic behavior is a quotient of anti-de Sitter (AdS) space, while the second class represents asymptotically AdS charged rotating black string. We study the casual structure and physical properties of these spacetimes and calculate, the entropy, electric charge, mass and angular momentum per unit length of rotating black strings.

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“…Inserting the vielbein (17) into field Eqs. (13) and 14, we obtain the following non-vanishing components:…”

Section: Asymptotically Static Ads Black Holesmentioning

confidence: 99%

“…Another proposal is f (T ) gravity in which T represents torsion scalar. Also in this case, for f (T ) = T , the theory reduces to the so called Teleparallel Equivalent General Relativity (TEGR) which is constructed by the Weitzenböck geometry and it is endowed with a nonsymmetric connection, characterized by no curvature and non-vanishing torsion [12][13][14][15]. The TEGR torsion tensor plays the dynamical role of curvature and the vielbein plays the role of metric tensor, that is the gravitational potentials.…”

Section: Introductionmentioning

confidence: 99%

Rotating and non-rotating AdS black holes in $$f(\mathcal{T})$$ gravity non-linear electrodynamics

Capozziello

Nashed

2019

Eur. Phys. J. C

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We derive new exact charged d-dimensional black hole solutions for quadratic teleparallel equivalent gravity, f (T) = a 0 + a 1 T + a 2 T 2 , where T is the torsion scalar, in the case of non-linear electrodynamics. We give a specific form of electromagnetic function and find out the form of the unknown functions that characterize the vielbeins in presence of the electromagnetic field. It is possible to show that the black holes behave asymptotically as AdS solutions and contain, in addition to the monopole and quadrupole terms, other higher order terms whose source is the non-linear electrodynamics field. We calculate the electromagnetic Maxwell field and show that our d-dimensional black hole solutions coincide with the previous obtained one (Awad et al. in J High Energy Phys 13:1706.01773, 2017). The structure of the solutions show that there is a central singularity that is much mild in comparison with the respective one in general relativity. Finally, the thermodynamical properties of the solutions are investigated by calculating the entropy, the Hawking temperature, the heat capacity, and other physical quantities. The most important result of thermodynamics is that the entropy is not proportional to the area of the black hole. This inanition points out that we must have a constrain on the quadrupole term to get a positive entropy otherwise we get a negative value.

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Charged and Non-Charged Black Hole Solutions in Mimetic Gravitational Theory

Cited by 24 publications

References 121 publications

Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Mimetic black strings

Rotating and non-rotating AdS black holes in $$f(\mathcal{T})$$ gravity non-linear electrodynamics

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