Energy contents of some well-known solutions in teleparallel gravity

Sharif, M.; Jawad, Abdul

doi:10.1007/s10509-010-0420-0

Cited by 20 publications

(13 citation statements)

References 49 publications

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“…It is worth noting that different pseudotensors yield the same energy value for any metric of the Kerr-Schild class and also for solutions more general than those of the Kerr-Schild class (see [36][37][38]), for reviews and references). Moreover, the localization of energy-momentum has been studied in the context of teleparallel theory of gravitation whereby many similar results have been obtained [39][40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 69%

On the Energy of a Non-Singular Black Hole Solution Satisfying the Weak Energy Condition

et al. 2020

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The energy-momentum localization for a new four-dimensional and spherically symmetric, charged black hole solution that through a coupling of general relativity with non-linear electrodynamics is everywhere non-singular while it satisfies the weak energy condition, is investigated. The Einstein and Møller energy-momentum complexes have been employed in order to calculate the energy distribution and the momenta for the aforesaid solution. It is found that the energy distribution depends explicitly on the mass and the charge of the black hole, on two parameters arising from the space-time geometry considered, and on the radial coordinate. Further, in both prescriptions all the momenta vanish. In addition, a comparison of the results obtained by the two energy-momentum complexes is made, whereby some limiting and particular cases are pointed out.

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Section: Introductionmentioning

confidence: 69%

On the Energy of a Non-Singular Black Hole Solution Satisfying the Weak Energy Condition

et al. 2020

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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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“…Contrary to the previous results, Gad explored the failure of these prescriptions to provide similar results in some specific examples of space-time [40][41][42][43]. The issue of energy localization has also been considered in the framework of teleparallel gravity [44][45][46][47][48][49]. It has been concluded in some recent works that the energy-momentum definitions are identical not only in GR but also in teleparallel gravity [48,50,51].…”

Section: Introductionmentioning

confidence: 95%

Tryon’s Conjecture and Energy and Momentum of Bianchi Type Universes

Mishra

Panda

Pattanayak

et al. 2016

Advances in High Energy Physics

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The energy and momentum of some diagonal anisotropic Bianchi type Universes are obtained using different energy-momentum complexes in the framework of General Relativity. The Møller energy is found to be zero for all the Universes considered in the present work. In all other prescriptions, the energy and momentum vanish when the sum of the metric parametersαandβvanishes. This result obviously raises a question: why this specific choice? We have explored Tryon’s conjecture that the Universe must have a zero net value for all conserved quantities to get some ideas on this issue.

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Energy contents of some well-known solutions in teleparallel gravity

Cited by 20 publications

References 49 publications

On the Energy of a Non-Singular Black Hole Solution Satisfying the Weak Energy Condition

On the Energy of a Non-Singular Black Hole Solution Satisfying the Weak Energy Condition

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

Tryon’s Conjecture and Energy and Momentum of Bianchi Type Universes

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