Gravitational energy-momentum density in Bianchi type II space-times

Download

index.pdf

Date

2006-04-01

Author

Aydogdu, Oktay

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

205
views

66
downloads

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 fields, including gravitation) associated with locally rotationally symmetric (LRS) Bianchi type II cosmological models. We show that energy densities in these different gravitation theories are the same, so they agree with each other. We obtain the result that the total energy is zero. This result agrees with previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee and Sen, Vargas, Aydogdu and Salti. Moreover, our result supports the viewpoints of Albrow and Tryon.

Subject Keywords

Space and Planetary Science, Mathematical Physics, Astronomy and Astrophysics

URI

https://hdl.handle.net/11511/63392

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS D

DOI

https://doi.org/10.1142/s0218271806008255

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Teleparallel gravitational energy in the gamma metric Salti, Mustafa (World Scientific Pub Co Pte Lt, 2006-05-01) The Moller energy (due to matter and fields including gravity) distribution of the gamma metric is studied in teleparallel gravity. The result is the same as those obtained in general relativity by Virbhadra in the Weinberg complex and Yang-Radincshi in the Moller definition. Our result is also independent of the three teleparallel dimensionless coupling constants, which means that it is valid not only in the teleparallel equivalent of general relativity, but also in any teleparallel model.
Energy-momentum of a stationary beam of light in teleparallel gravity Aydogdu, Oktay; Salti, Mustafa (Springer Science and Business Media LLC, 2006-01-01) In this paper, we utilize the teleparallel gravity analogs of the energy and momentum definitions of Bergmann-Thomson and Landau-Lifshitz in order to explicitly evaluate the energy distribution (due to matter and fields including gravity) based on the Bormor space-time, it is shown that for a stationary beam of light, these energy-momentum definitions give the same result. Furthermore, this result supports the viewpoint of Cooperstock and also agree with the previous works by Bringley and Gad.
The momentum 4-vector imparted by gravitational waves in Bianchi-type metrics Havare, A; Korunur, M; Salti, M (Springer Science and Business Media LLC, 2006-01-01) Considering the MOller, Weinberg and Qadir-Sharif's definitions in general relativity, we find the momentum 4-vector of the closed universe based on the Bianchi-type metrics. The momentum 4-vector (due to matter plus fields) is found to be zero. This result supports the viewpoints of Albrow and Tryon and extends the previous works by Cooperstock-Israelit, Rosen, Johri et al., Banerjee-Sen and Vargas who investigated the problem of the energy in Friedmann-Robertson-Walker universe and SaltI-Havare who studie...
Energy of a stringy charged black hole in the teleparallel gravity Salti, Mustafa (Springer Science and Business Media LLC, 2006-12-01) We use the teleparallel geometry analog of the Moller energy-momentum complex to calculate the energy distribution (due to matter plus field including gravity) of a charged black hole solution in heterotic string theory. We find the same energy distribution as obtained by Gad who investigated the same problem by using the Moller energy-momentum complex in general relativity. The total energy depends on the black hole mass M and charge Q. The energy obtained is also independent of the teleparallel dimensionl...
Scalar waves in a wormhole topology Bugdayci, Necmi (World Scientific Pub Co Pte Lt, 2006-05-01) Global monochromatic solutions of the scalar wave equation axe obtained in flat wormholes of dimensions (2+1) and (3+1). The solutions are in the form of infinite series involving cylindrical and spherical wave functions, and they are elucidated by the multiple scattering method. Explicit solutions for some limiting cases are illustrated as well. The results presented in this work constitute instances of solutions of the scalar wave equation in a space-time admitting closed time-like curves.

Citation Formats

O. Aydogdu, “Gravitational energy-momentum density in Bianchi type II space-times,” INTERNATIONAL JOURNAL OF MODERN PHYSICS D, pp. 459–468, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63392.