Energy in Reboucas-Tiomno-Korotkii-Obukhov and Godel-type space-times in Bergmann-Thomson's formulations

Aydogdu O., Salti M., Korunur M.

ACTA PHYSICA SLOVACA, vol.55, no.6, pp.537-548, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 6
  • Publication Date: 2005
  • Journal Name: ACTA PHYSICA SLOVACA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.537-548
  • Middle East Technical University Affiliated: No

Abstract

We calculate the total energy (the matter plus fields) of the universe considering Bergmann-Thomson's energy-momentum formulation in both Einstein's theory of general relativity and tele-parallel gravity on two different space-times; namely Reboucas-Tiomno-Korotkii-Obukhov and the Godel-type metrics. We also compute some kinematical quantities for these space-times and find that these space-times have shear-free expansion and non-vanishing four-acceleration and vorticity. Different approximations of the Bergmann-Thomson energy-momentum formulation in these different gravitation theories give the same energy density and agree with each other. The results advocate the importance of energy-momentum definitions.