Quasi-local energy from a Minkowski reference

Chen, Chiang-Mei; Liu, Jian Liang; Nester, James M.

doi:10.1007/s10714-018-2484-z

Cited by 11 publications

(8 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was found that for any closed 2-surface there exists a common value for the quasi-local energy for all expressions that agree (to linear order) with the Freud superpotential. In other words, all the quasi-local expressions in a large class yield the same energy-momentum [53,54].…”

Section: Introductionmentioning

confidence: 98%

Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-Singular Black Hole Space-Time Geometry

et al. 2020

View full text Add to dashboard Cite

The space-time geometry exterior to a new four-dimensional, spherically symmetric and charged black hole solution that, through a coupling of general relativity with a non-linear electrodynamics, is non-singular everywhere, for small r it behaves as a de Sitter metric, and asymptotically it behaves as the Reissner-Nordström metric, is considered in order to study energy-momentum localization. For the calculation of the energy and momentum distributions, the Einstein, Landau-Lifshitz, Weinberg and Møller energy-momentum complexes were applied. The results obtained show that in all prescriptions the energy depends on the mass M of the black hole, the charge q, two parameters a ∈ Z + and γ ∈ R + , and on the radial coordinate r. The calculations performed in each prescription show that all the momenta vanish. Additionally, some limiting and particular cases for r and q are studied, and a possible connection with strong gravitational lensing and microlensing is attempted.

show abstract

Section: Introductionmentioning

confidence: 98%

Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-Singular Black Hole Space-Time Geometry

et al. 2020

View full text Add to dashboard Cite

show abstract

“…The rehabilitation of energy-momentum complexes concerns the searching for a common quasi-local energy value. Recently, an important discovery has been made, namely, by considering pseudotensors and quasi-local approaches in the context of the Hamiltonian formulation and with the choice of a four-dimensional isometric Minkowski reference geometry on the boundary, it is found that for any closed 2-surface there is a common value for the quasi-local energy for all expressions that are in agreement (to linear order) with the Freud superpotential or, put simply, all the quasi-local expressions in a large class yield the same energy-momentum [53,54].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

View full text Add to dashboard Cite

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.

show abstract

“…Indeed, for any closed 2‐surface there exists a common value for the quasi‐local energy for all expressions agreeing (to linear order) with the Freud superpotential. Put differently, all quasi‐local expressions in a large class lead to the same energy‐momentum (Chen et al 2018a, 2018b). Furthermore, the localization of energy was studied in the context of teleparallel theory of gravitation whereby many similar results were obtained (Aygün et al 2018; Ganiou et al 2018; Hayashi & Shirafuji 1979; Maluf et al 2007; Møller 1964; Nashed 2010; Nester et al 2008; Sharif & Jawad 2011; Sousa et al 2010).…”

Section: Introductionmentioning

confidence: 99%

Einstein and Møller energies of a particular asymptotically Reissner–Nordström non‐singular black hole solution

et al. 2021

View full text Add to dashboard Cite

The localization of energy-momentum for a four-dimensional charged, static, and spherically symmetric, non-singular black hole solution that asymptotically behaves as a Reissner-Nordström solution, is studied. The space-time geometry is distinguished by a particular distribution function entering the mass function m(r). The non-singular character of the metric is warranted by the coupling of general relativity with a non-linear electrodynamics, whereby the resulting electric field is everywhere non-singular and asymptotically tends to the Maxwell field. The energy and momentum distributions are computed by applying the Einstein and Møller energy-momentum complexes. It is found that all the momenta vanish, while the energies depend on the electric charge, the mass, and the radial coordinate. Finally, the behavior of the energies near the origin, near infinity, as well as in the case of a vanishing electric charge is examined.

show abstract

Quasi-local energy from a Minkowski reference

Cited by 11 publications

References 50 publications

Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-Singular Black Hole Space-Time Geometry

Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-Singular Black Hole Space-Time Geometry

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

Einstein and Møller energies of a particular asymptotically Reissner–Nordström non‐singular black hole solution

Contact Info

Product

Resources

About