Energy contents of some rotating spacetimes in teleparallel gravity

Sharif, M.; Jawad, Abdul

doi:10.1007/s10509-010-0436-5

Cited by 8 publications

(4 citation statements)

References 45 publications

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“…This could actually be understood in a natural way, both mathematically and physically, as follows. 5 Note that the requirement £ξẽ a µ = 0 that guarantees the equation ∂Ξ δQ[ξ] − iξΘ = 0 to hold in the conformal frame is now augmented by the requirement to also have £ξΩ =ξ µ∇ µΩ = 0. The latter is actually already guaranteed by the fact that ξ µ∇ µΩ = 0 is also the requirement for a Killing vector field to exist in the conformal frame [17].…”

Section: Summary and Discussionmentioning

confidence: 99%

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Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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The Noether charge associated to diffeomorphism invariance in teleparallel gravity is derived. It is shown that the latter yields the ADM mass of an asymptotically flat spacetime. The black hole entropy is then investigated based on Wald's prescription that relies on the Noether charge. It is shown that, like in general relativity, the surface gravity can be factored out from such a charge. Consequently, the similarity with the first law of thermodynamics implied by such an approach in general relativity does show up also in teleparallel gravity. It is found that, based on the expression of the first law of black hole mechanics, which is preserved in teleparallel gravity, entropy can thus be extracted from such a Noether charge. The resulting entropy can very naturally be expressed as a volume integral, though. As such, it is shown that the conformal issue that plagues the entropy-area law within general relativity does not arise in teleparallel gravity based on Wald's approach. The physics behind these features is discussed.

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Section: Summary and Discussionmentioning

confidence: 99%

“…TEGR is known to incorporate the nice features of GR, such as the possibility of studying conserved currents [4] and nonvacuum solutions [5]. Furthermore, TEGR has been shown to be an adequate framework for studying gravitational waves [6,7], nonsingular black holes [8] and energy fluxes in cylindrical spacetimes [9].…”

mentioning

confidence: 99%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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“…This is also a crucial distinction of the G ∥ R with respect to many metric-teleparallel energy prescriptions, e.g. [4,99,[124][125][126][127][128][129][130][131][132][133][136][137][138][139][140][141][142][143][144][145][146]. It might be that some physical counterpart could be established to the energy-momentum densities described by the (pseudo)tensors used in such prescriptions, perhaps related to the gas of particles due to Unruh radiation seen by accelerated observers.…”

Section: Jcap12(2023)010mentioning

confidence: 99%

General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

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General (tele)parallel Relativity, G∥R, is the relativistic completion of Einstein's theories of gravity. The focus of this article is the derivation of the homogeneous and isotropic solution in G∥R. The first-principles derivation, based on a non-trivial realisation of the symmetry, supersedes and unifies previous constructions of Riemannian and teleparallel cosmologies, and establishes the uniqueness of the physical solution. The constitutive law and the form of the material and inertial source currents is presented in the tensor (Palatini) formalism and adapted to the cosmological background, which exhibits novel features absent in the previously studied, static solutions to the theory. The results are contrasted with those in incomplete theories, such as sitting at the three corners of the geometrical trinity which correspond to particular reference frames in G∥R.

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“…Sharif and Amir have investigated the energy-momentum distribution of spatially homogeneous, rotating spacetimes in teleparallel gravity [ 20 ]. Sharif and Jawad have calculated the energy of rotating spacetimes in teleparallel gravity [ 21 ]. Xulu has examined the Møller energy of nonstatic, spherically symmetric spacetimes [ 22 ].…”

Section: Introductionmentioning

confidence: 99%

Black Plane Solutions and Localized Gravitational Energy

Halpern

Roberts

2015

International Scholarly Research Notices

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We explore the issue of gravitational energy localization for static plane-symmetric solutions of the Einstein-Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. We apply three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Møller prescriptions, to the metric representing this category of solutions and determine the energy distribution for each. We find that the three prescriptions offer identical energy distributions, suggesting their utility for this type of model.

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Energy contents of some rotating spacetimes in teleparallel gravity

Cited by 8 publications

References 45 publications

Noether charge and black hole entropy in teleparallel gravity

Noether charge and black hole entropy in teleparallel gravity

General parallel cosmology

Black Plane Solutions and Localized Gravitational Energy

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