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

Sarfraz Ali; M. Jamil Amir

doi:10.32323/ujma.553017

EN

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

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

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sarfraz Ali ^*
0000-0002-9299-2611
Pakistan

M. Jamil Amir This is me
0000-0002-9299-2611

Publication Date

September 30, 2019

Submission Date

April 12, 2019

Acceptance Date

August 8, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

DOI

https://doi.org/10.32323/ujma.553017

IZ

https://izlik.org/JA33SY72JZ

APA

Ali, S., & Amir, M. J. (2019). Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field. Universal Journal of Mathematics and Applications, 2(3), 141-147. https://doi.org/10.32323/ujma.553017

AMA

1.Ali S, Amir MJ. Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field. Univ. J. Math. Appl. 2019;2(3):141-147. doi:10.32323/ujma.553017

Chicago

Ali, Sarfraz, and M. Jamil Amir. 2019. “Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field”. Universal Journal of Mathematics and Applications 2 (3): 141-47. https://doi.org/10.32323/ujma.553017.

EndNote

Ali S, Amir MJ (September 1, 2019) Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field. Universal Journal of Mathematics and Applications 2 3 141–147.

IEEE

[1]S. Ali and M. J. Amir, “Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field”, Univ. J. Math. Appl., vol. 2, no. 3, pp. 141–147, Sept. 2019, doi: 10.32323/ujma.553017.

ISNAD

Ali, Sarfraz - Amir, M. Jamil. “Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field”. Universal Journal of Mathematics and Applications 2/3 (September 1, 2019): 141-147. https://doi.org/10.32323/ujma.553017.

JAMA

1.Ali S, Amir MJ. Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field. Univ. J. Math. Appl. 2019;2:141–147.

MLA

Ali, Sarfraz, and M. Jamil Amir. “Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field”. Universal Journal of Mathematics and Applications, vol. 2, no. 3, Sept. 2019, pp. 141-7, doi:10.32323/ujma.553017.

Vancouver

1.Sarfraz Ali, M. Jamil Amir. Energy-Momentum Distribution of Six-Dimensional Geometric Model of Gravitational Field. Univ. J. Math. Appl. 2019 Sep. 1;2(3):141-7. doi:10.32323/ujma.553017