Energy-Momentum of the Friedmann Models in General Relativity and Teleparallel Theory of Gravity

Abstract

This paper is devoted to the evaluation of the energy-momentum density components for the Friedmann models. For this purpose, we have used M$ø$ller's pseudotensor prescription in General Relativity and a certain energy-momentum density developed from his teleparallel formulation. It is shown that the energy density of the closed Friedmann universe vanishes on the spherical shell at the radius $\rho =2\sqrt{3}$. This coincides with the earlier results available in the literature. We also discuss the energy of the flat and open models. A comparison shows a partial consistency between the M$ø$ller's pseudotensor for General Relativity and teleparallel theory. Further, it is shown that the results are independent of the free dimensionless coupling constant of the teleparallel gravity.

14 pages, accepted for publication in Canadian J. Phys

References in corpus (5)

• On the energy of homogeneous cosmologies
• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
• The total energy-momentum of the universe in teleparallel gravity

Cited by in corpus (4)

• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• Energy Distribution of a Regular Class of Exact Black Hole Solutions
• Optimal Choices of Reference for a Quasi-local Energy: Spherically Symmetric Spacetimes
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes