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Four-Momentum Associated with the Vaidya Black Holes in Teleparallel Gravity | | Murat Korunur
; Mustafa Salti
; Oktay Aydogdu
; Irfan Acikgoz
; | | Date: |
26 Jul 2006 | | Abstract: | We employ Moller’s energy-momentum formulation in tetrad theory of gravity in order to compute energy and momentum components (due to matter plus fields including gravity) associated with the six cases of Vaidya black hole solutions (the monopole solution, the de Sitter and anti-de Sitter solutions, the charged Vaidya solution, the monopole-de Sitter-charged Vaidya solution, the radiating dyon solution, the Husain solutions). The results obtained agree with those calculated in general relativity by Yang and Jeng, and are independent of teleparallel dimensionless coupling parameter $lambda$ which means that these results are valid not only in teleparallel equivalent of general relativity but also in any teleparallel model. The energy-momentum distribution for the monopole solution vanishes everywhere, for the other solutions we have non zero energy component, and only the energy distribution of the de Sitter and anti-de Sitter solutions is independent of $t$. Furthermore, our results also sustain (a) the importance of the energy-momentum definitions in the evaluation of the energy distribution of a given spacetime, and (b) the viewpoint of Lessner that the Moller energy-momentum complex is a powerful concept of energy and momentum. The results support the hypothesis of Cooperstock that the energy is confined to the region of non-vanishing energy-momentum tensor of matter and all non-gravitational fields. | | Source: | arXiv, gr-qc/0607117 | | Services: | Forum | Review | PDF | Favorites | |
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