Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes

TL;DR

This paper investigates the energy-momentum distribution in spatially homogeneous rotating spacetimes within teleparallel gravity, using the Moller prescription, and compares results with General Relativity under specific conditions.

Contribution

It provides a detailed analysis of energy-momentum components in rotating spacetimes in teleparallel gravity, highlighting differences and similarities with General Relativity.

Findings

Energy-momentum densities are finite and well-defined.

Results differ from General Relativity but coincide under certain assumptions.

Analysis of special solutions illustrates the behavior of energy-momentum in these spacetimes.

Abstract

The energy-momentum distribution of spatially homogeneous rotating spacetimes in the context of teleparallel theory of gravity is investigated. For this purpose, we use the teleparallel version of Moller prescription. It is found that the components of energy-momentum density are finite and well-defined but are different from General Relativity. However, the energy-momentum density components become the same in both theories under certain assumptions. We also analyse these quantities for some special solutions of the spatially homogeneous rotating spacetimes.