Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum

Nashed, G. G. L.

doi:10.1088/1674-1056/19/2/020401

Cited by 45 publications

(21 citation statements)

References 79 publications

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“…An alternative option for avoiding the problem of the coordinate system dependence is provided by the teleparallel theory of gravity [51,52], whereby one notices the considerable similarity of results obtained by this approach with results achieved by using the energy-momentum complexes [53][54][55][56][57].…”

Section: Advances In High Energy Physicsmentioning

confidence: 99%

Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function

Radinschi

Grammenos

Rahaman

et al. 2017

Advances in High Energy Physics

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The energy-momentum of a new four-dimensional, charged, spherically symmetric, and nonsingular black hole solution constructed in the context of general relativity coupled to a theory of nonlinear electrodynamics is investigated, whereby the nonlinear mass function is inspired by the probability density function of the continuous logistic distribution. The energy and momentum distributions are calculated by use of the Einstein, Landau-Lifshitz, Weinberg, and Møller energy-momentum complexes. In all these prescriptions, it is found that the energy distribution depends on the mass and the charge of the black hole, an additional parameter coming from the gravitational background considered, and the radial coordinate . Further, the Landau-Lifshitz and Weinberg prescriptions yield the same result for the energy, while, in all the aforesaid prescriptions, all the momenta vanish. We also focus on the study of the limiting behavior of the energy for different values of the radial coordinate, the parameter , and the charge . Finally, it is pointed out that, for → ∞ and = 0, all the energy-momentum complexes yield the same expression for the energy distribution as in the case of the Schwarzschild black hole solution.

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Section: Advances In High Energy Physicsmentioning

confidence: 99%

Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function

Radinschi

Grammenos

Rahaman

et al. 2017

Advances in High Energy Physics

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“…Furthermore, Eq. (31) shows that, in the case of four dimensions, √ c 4 = 4 √ 2 27 and c 1 2 −c 2 2 = 1, which gives c 1 = 1 + c 2 2 and E = c 3 . From this analysis we can assume c 2 to be the rotation parameter.…”

Section: Discussionmentioning

confidence: 93%

“…(24) in a deeper way we have calculated the energy and shown that it depends on the parameter . Equation (31) cannot give the known form of energy due to the dimension parameter , which demonstrates the effect of the higher torsion scalar. Furthermore, Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, guided by the construction of f (R) gravitational theory we are allowed to postulate the Lagrangian of the amended Einstein-Hilbert action as a function of the torsion scalar to extend TEGR in a natural way. This extension is called f (T ), where T is the teleparallelism scalar torsion, gravitational theory [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. It is necessary to note that in f (T ) theory the field equations are of second order while the field equations of f (R) are of fourth order.…”

Section: Introductionmentioning

confidence: 99%

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

Nashed

Hanafy

2017

Eur. Phys. J. C

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A non-diagonal vielbein ansatz is applied to the N -dimension field equations of f (T ) gravity. An analytical vacuum solution is derived for the quadratic polynomial f (T ) = T + T 2 and an inverse relation between the coupling constant and the cosmological constant . Since the induced metric has off-diagonal components, it cannot be removed by a mere coordinate transformation, the solution has a rotating parameter. The curvature and torsion scalars invariants are calculated to study the singularities and horizons of the solution. In contrast to general relativity, the Cauchy horizon differs from the horizon which shows the effect of the higher order torsion. The general expression of the energy-momentum vector of f (T ) gravity is used to calculate the energy of the system. Finally, we have shown that this kind of solution satisfies the first law of thermodynamics in the framework of f (T ) gravitational theories.

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“…Recently, 8 interested in this interesting approach to discuss the four-momentum 9 in various space-time models (Nashed, 2008(Nashed, , 2010Sousas et al, 20 10 2009;Sharif and Taj, 2010;Ulhoa and Rocha, 2013;Maluf, 201 11 2013;Rocha Neto and Maluf, 2014). 12…”

Section: Introductionmentioning

confidence: 99%

Absolute Parallelism in The Bainchi-Type IX Taub Solution

Korunur¹

2018

jist

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ABSTRACT:In this work, we study one of the famous gravitation problems in an alternative point of view which is known as the absolute parallelism. Considering Taub solution of the Bainchi-Type IX space-time and the Hamiltonian approach technique of absolute parallelism, we obtain corresponding angular momentum, total energy and momentum distributions. It is seen that our main results agree with those ones published in the literature by other author.Keywords: Angular momentum, energy, teleparallel gravity ÖZET: Bu çalışmada, mutlak paralellizm olarak bilinen alternatif bir bakış açısıyla ünlü kütleçekim problemlerinden birini inceliyoruz. Bainchi-Type IX uzay-zamanın Taub çözümü ve mutlak paralellizmde Hamilton yaklaşımı tekniği göz önüne alındığında, bu duruma karşılık gelen açısal momentum, toplam enerji ve momentum dağılımları elde edilmektedir. Temel sonuçlarımızın diğer bir yazar tarafından literatürde yayınlanan sonuçlarla uyumlu olduğu görülmektedir.

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Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum

Cited by 45 publications

References 79 publications

Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function

Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function

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

Absolute Parallelism in The Bainchi-Type IX Taub Solution

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