Article

On the relative energy associated with space-times of diagonal metrics

Pramana (Impact Factor: 0.56). 05/2007; 68(5):735-748. DOI: 10.1007/s12043-007-0073-x

ABSTRACT In order to evaluate the energy distribution (due to matter and fields including gravitation) associated with a space-time
model of generalized diagonal metric, we consider the Einstein, Bergmann-Thomson and Landau-Lifshitz energy and/or momentum
definitions both in Einstein’s theory of general relativity and the teleparallel gravity (the tetrad theory of gravitation).
We find same energy distribution using Einstein and Bergmann-Thomson formulations, but we also find that the energy-momentum
prescription of Landau-Lifshitz disagree in general with these definitions. We also give eight different well-known space-time
models as examples, and considering these models and using our results, we calculate the energy distributions associated with
them. Furthermore, we show that for the Bianchi Type-I models all the formulations give the same result. This result agrees
with the previous works of Cooperstock-Israelit, Rosen, Johri et al, Banerjee-Sen, Xulu, Vargas and Saltı et al and supports the viewpoints of Albrow and Tryon.

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