Research Article

Energy-momentum puzzle in a bianchi-type ıı universe with f(T) gravity

Volume: 41 Number: 1 March 22, 2020
EN

Energy-momentum puzzle in a bianchi-type ıı universe with f(T) gravity

Abstract

The energy-momentum localization problem, which was attemted by Einstein himself for the first time, has been continued to the present day. Recently, new prescription obtained by modifying the torsion theory and these results shed light on the solution of the energy momentum localisation problem. Focusing this purpose, we consider a Locally Rotationally Symmetric Bianchi Type-II model in the teleparallel framework and calculate the modified energy and momentum density for the general case. We also obtain the energy and momentum density for some special cases of the modified theory and compare our results with previous work in the literature. 

Keywords

References

  1. [1] Einstein, Grundgedanken der allgemeinen Relativitätstheorie und Anwendung dieser Theorie in der Astronomie. A. Sitzungsber. Preus. Akad. Wiss. Berlin (Math. Phys.), 47 (1915) 778-786
  2. [2] Tolman R.C. Relativity, Thermodinamics and Cosmology. Oxford Univ. Pres. London, (1934).
  3. [3] Papapetrou A. Einstein’s theory of gravitation and flat space. Proc. R. Irish. Acad. A, 52 (1948) 11-23.
  4. [4] Bergmann P.G. and Thomson R. Spin and angular momentum in general relativity. Phys. Rev. 89 (1953) 400-407.
  5. [5] Møller C. On the localization of the energy of a physical system in the general theory of relativity. Ann. Phys. (NY), 4 (1958) 347-371.
  6. [6] Møller C. Further remarks on the localization of the energy in the general theory of relativity. Ann. Phys. (NY), 12 (1961) 118-133.
  7. [7] Weinberg S., Gravitation and Cosmology: Principle and Applications of General Theory of Relativity. John Wiley and Sons, Inc., New York, 1972.
  8. [8] Qadir A. and Sharif M., General Formula for the Momentum Imparted to Test Particles in Arbitrary Spacetimes. Physics Letters A, 167(4) (1992) 331-334.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

March 22, 2020

Submission Date

January 17, 2019

Acceptance Date

January 15, 2020

Published in Issue

Year 1970 Volume: 41 Number: 1

APA
Korunur, M. (2020). Energy-momentum puzzle in a bianchi-type ıı universe with f(T) gravity. Cumhuriyet Science Journal, 41(1), 290-297. https://doi.org/10.17776/csj.514174

Cited By

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December