Different approaches for Moller's energy in the Kasner-type spacetime

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Salti M.

MODERN PHYSICS LETTERS A, vol.20, no.28, pp.2175-2182, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 28
  • Publication Date: 2005
  • Doi Number: 10.1142/s0217732305017901
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2175-2182
  • Middle East Technical University Affiliated: No


Considering the Moller energy definition in both Einstein's theory of general relativity and tele-parallel theory of gravity, we find the energy of the universe based on viscous Kasner-type metrics. The energy distribution which includes both the matter and gravitational field is found to be zero in both of these different gravitation theories and this result agrees with previous works of Cooperstock and Israelit et al., Banerjee-Sen, Vargas who investigated the problem of the energy in Friedmann-Robertson-Walker universe in Einstein's theory of general relativity and Aydogdu-Salti who considered the same problem in tele-parallel gravity. In all of these works, they found that the energy of the Friedmann-Robertson-Walker spacetime is zero. Our result is the same as that obtained in the studies of Salti and Havaxe. They used the viscous Kasner-type metric and found the total energy and momentum by using Bergmann-Thomson energy-momentum formulation in both general relativity and tele-parallel gravity. The result that the total energy and momentum components of the universe is zero supports the viewpoints of Albrow and M-yon.