Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field

Authors : Sarfraz ALİ, M Jamil AMİR

Pages : 141-147

Doi:10.32323/ujma.553017

View : 14 | Download : 8

Publication Date : 2019-09-30

Article Type : Research Paper

Abstract :Much work has been done in exploring the energy-momentum distribution of different four-dimensional spacetimes using different prescriptions. In this paper, we intend to explore the energy and momentum density of six-dimensional geometric model of the gravitational field. The model was constructed by postulating a six-dimensional spacetime manifold with a structure of spacetime of absolute parallelism. For this purpose, we consider the metric representing the geometric model and use five prescriptions, namely, Einstein, Landau-Lifshitz, Bergmann-Thomson, Papapetrou, and Möller in the framework of General Relativity. The energy and momentum turn out to be well defined and finite. The comparison of the results shows that Einstein and Bergmann-Thomson prescriptions yield same energy-momentum densities but different from the other three prescriptions. It is mentioning here that the energy vanishes in the case of Möller`s prescription and the momentum densities become zero in all the cases.
Keywords : General Relativity, Six Dimensional Geometric Model