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


Korunur M., Salt M., Havare A.

PRAMANA-JOURNAL OF PHYSICS, cilt.68, ss.735-748, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 68 Konu: 5
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s12043-007-0073-x
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Sayfa Sayıları: ss.735-748

Özet

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 Salti et al and supports the viewpoints of Albrow and Tryon.