# 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…

## 27 Citations

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

- Physics
- 2021

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…

### Landau-Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson-Visser Space-Time Geometry

- PhysicsSymmetry
- 2022

The symmetric Landau–Lifshitz and Weinberg energy–momentum complexes are utilized in order to determine the energy distribution in a four-dimensional, static and spherically symmetric regular…

### Energy distribution of a charged black hole with a minimally coupled scalar field

- Physics
- 2008

Abstract
Using three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Papapetrou prescriptions, we calculate the energy of an electrically charged black hole exact solution…

### Einstein and Møller Energy-Momentum Distributions for the Static Regular Simpson-Visser Space-Time

- PhysicsSymmetry
- 2021

Energy-momentum localization for the four-dimensional static and spherically symmetric, regular Simpson–Visser black hole solution is studied by use of the Einstein and Møller energy-momentum…

### Some examples for different descriptions of energy–momentum density in the context of Bianchi IX cosmological model

- Physics
- 2012

Based on the Bianchi type IX metric, we calculate the energy and momentum density components of the gravitational field for the five different definitions of energy–momentum, namely, Tolman,…

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

- Physics
- 2020

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…

### Energy and momentum of Bianchi Type $VI_h$ Universes

- Physics
- 2015

We obtain the energy and momentum of the Bianchi type universes using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the…

### Energy-Momentum Distribution for Magnetically Charged Black Hole Metric

- PhysicsJournal of Mathematical Sciences and Modelling
- 2020

This work investigates the well known localization problem of energy and momentum. The purpose of this paper is two fold. First, we compute Einstein, Landau-Lifshitz and Bergmann's energy-momentum…

### Einstein and Møller Energy-Momentum Complexes for a New Regular Black Hole Solution with a Nonlinear Electrodynamics Source

- Physics
- 2016

A study about the energy and momentum distributions of a new charged regular black hole solution with a nonlinear electrodynamics source is presented. The energy and momentum are calculated using the…

### Einstein and M{\o}ller energy-momentum complexes for a new regular black hole solution with a nonlinear electrodynamics source

- Physics
- 2016

A study about the energy and momentum distributions of a new charged regular black hole solution with a nonlinear electrodynamics source is presented. The energy and momentum are calculated using the…

## 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
- 2004

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…

### 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 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…