Energy-Momentum Complex in M\o ller's Tetrad Theory of Gravitation

TL;DR

This paper investigates Møller's tetrad theory of gravitation, deriving its energy-momentum complex and solutions, revealing an inconsistency in energy calculations that prompts further discussion.

Contribution

It derives the energy-momentum complex and superpotential in Møller's theory, and explores solutions with spherical symmetry, highlighting an energy discrepancy.

Findings

Derived the energy-momentum complex and superpotential.

Obtained two solutions with the same metric but different energies.

Identified an inconsistency in energy calculations.

Abstract

M\o ller's Tetrad Theory of Gravitation is examined with regard to the energy-momentum complex. The energy-momentum complex as well as the superpotential associated with M\o ller's theory are derived. M\o ller's field equations are solved in the case of spherical symmetry. Two different solutions, giving rise to the same metric, are obtained. The energy associated with one solution is found to be twice the energy associated with the other. Some suggestions to get out of this inconsistency are discussed at the end of the paper.