Bergmann–Thomson Energy-Momentum Complex for Solutions More General than the Kerr–Schild Class
@article{Xulu2007BergmannThomsonEC, title={Bergmann–Thomson Energy-Momentum Complex for Solutions More General than the Kerr–Schild Class}, author={Sibusiso S. Xulu}, journal={International Journal of Theoretical Physics}, year={2007}, volume={46}, pages={2915-2922} }
Abstract
In a very well-known paper, Virbhadra’s research group proved that the Weinberg, Papapetrou, Landau and Lifhsitz, and Einstein energy-momentum complexes “coincide” for all metrics of Kerr–Schild class. A few years later, Virbhadra clarified that this “coincidence” in fact holds for metrics more general than the Kerr–Schild class. In the present paper, this study is extended for the Bergmann–Thomson complex and it is proved that this complex also “coincides” with those complexes for a…
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References
SHOWING 1-10 OF 52 REFERENCES
Energy and angular momentum of charged rotating black holes
- Physics
- 1996
We show that the pseudotensors of Einstein, Tolman, Landau and Lifshitz, Papapetrou, and Weinberg essentially coincide for any Kerr-Schild metric if calculations are carried out in Kerr-Schild…
Gravitational Energy-Momentum Density in Bianchi Type II Space-Times
- Physics
- 2006
In this paper, using Einstein, Landau and Lifshitz's energy–momentum complexes both in general relativity and teleparallel gravity, we calculate the total energy distribution (due to matter and…
Energy and momentum associated with solutions exhibiting directional type singularities
- Physics
- 2006
We obtain the energy and momentum densities of a general static axially symmetric vacuum space-time, the Weyl metric, with the help of Landau – Lifshitz and Bergmann – Thomson energy-momentum…
Bergmann-Thomson Energy of a Charged Rotating Black Hole
- Physics
- 2006
We obtain the energy distribution associated with a charged rotating (Kerr-Newman) black hole in Bergmann-Thomson formulation. We find that the energy-momentum definitions prescribed by Einstein,…
Energy distribution in Reissner–Nordström anti-de Sitter black holes in the Møller prescription
- Physics
- 2006
The energy (due to matter plus fields including gravity) distribution of the Reissner–Nordström anti-de Sitter (RN AdS) black holes is studied by using the Møller energy-momentum definition in…
Naked singularities and Seifert's conjecture
- Mathematics
- 1999
It is shown that for a general nonstatic spherically symmetric metric of the Kerr-Schild class several energy-momentum complexes give the same energy distribution as in the Penrose prescription,…
Energy in the Schwarzschild-de Sitter Spacetime
- Physics
- 2006
The energy (due to matter and fields including gravitation) of the Schwarzschild-de Sitter spacetime is investigated by using the Møller energy-momentum definition in both general relativity and…
Energy associated with a Kerr-Newman black hole.
- PhysicsPhysical review. D, Particles and fields
- 1990
Using Tolman's and Landau and Lifshitz's definitions, the energy associated with a Kerr-Newman black hole is calculated and the total energy is found to be shared by its interior as well as exterior.
ENERGY AND MOMENTUM DISTRIBUTIONS OF A (2 + 1)-DIMENSIONAL BLACK HOLE BACKGROUND
- Physics
- 2003
Using Einstein, Landau–Lifshitz, Papapetrou and Weinberg energy–momentum complexes, we explicitly evaluate the energy and momentum distributions associated with a nonstatic and circularly symmetric…