M{\o}ller's Energy in the Kantowski-Sachs Space-time
M. Abdel-Megied, Ragab M. Gad
TL;DR
This paper examines Møller's energy in Kantowski-Sachs space-time, providing a counterexample to previous claims and calculating total energy using Møller's energy-momentum definitions in general relativity.
Contribution
It demonstrates that Møller's energy results are valid for certain metrics but not universally, correcting prior assumptions.
Findings
Counterexample to previous result in 71
Møller's energy calculation for Kantowski-Sachs space-time
Clarification on the applicability of Møller's energy-momentum definitions
Abstract
We present a counter example to paper \cite{P71} and show that the result obtained is correct for a class of metric but not general. We calculate the total energy of the Kantowski-Sachs space-time by using the energy-momentum definitions of M{\o}ller in the theory of general relativity and the tetrad theory of gravity.
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