Energy Density Associated with the Bianchi Type-II Space-Time

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10.1143:PTP.115.63.pdf

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2006-1-1

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Aydoğdu, Oktay
Saltı, Mustafa

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To calculate the total energy distribution (due to both matter and fields including gravitation) associated with locally rotationally symmetric (LRS) Bianchi type-II space-times. We use the Bergmann-Thomson energy-momentum complex in both general relativity and teleparallel gravity. We find that the energy density in these different gravitation theories is vanishing at all times. This result is the same as that obtained by one of the present authors who solved the problem of finding the energy-momentum in LRS Bianchi type-II by using the energy-momentum complexes of Einstein and Landau and Lifshitz. The results of this paper also are consistent with those given in the previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee-Sen, Vargas, and Salti et al. In this paper, we perform the calculations for a non-diagonal expanding space-time to determine whether the Bergmann-Thomson energy momentum prescription is consistent with the other formulations. (We previously considered diagonal and expanding space-time models.) Our result supports the viewpoints of Albrow and Tryon.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/50920

Journal

Progress of Theoretical Physics

DOI

https://doi.org/10.1143/ptp.115.63

Collections

Department of Physics, Article

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Citation Formats

O. Aydoğdu and M. Saltı, “Energy Density Associated with the Bianchi Type-II Space-Time,” Progress of Theoretical Physics, pp. 63–71, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/50920.