Different approaches to the Einstein energy associated with the de Sitter C-space-time

Salti, M
The paper is purposed to elaborate the problem of gravitational energy localization in de Sitter(dS) C-space-time (the C space-time in a background with a cosmological constant Lambda). In this connection, using the energy-momentum definition of Einstein, we find the same energy in both general relativity and tele-parallel gravity.


Different approaches for Moller's energy in the Kasner-type spacetime
Salti, M (World Scientific Pub Co Pte Lt, 2005-09-14)
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-...
Energy in Reboucas-Tiomno-Korotkii-Obukhov and Godel-type space-times in Bergmann-Thomson's formulations
Aydogdu, O; Salti, M; Korunur, M (2005-12-01)
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 Ber...
The Kerr-Schild double copy in Lifshitz spacetime
Alçak, Gökhan; Gümüş, Mehmet Kemal; Tek, Mustafa (2021-05-01)
The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell’s theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we give a general formulation, where no simplifying assumption about the background metric is made, and show that the gauge theory source is affected by a curvature term that characterizes the deviation of the background spacetime from a constant curvature spacetime. We demons...
Energy and momentum associated with Kasner-type universes
Salti, M (2005-01-01)
This study is purposed to elaborate the problem of energy and momentum distribution of the viscous Kasner-type universe in general theory of relativity. In this connection, we use the energy-momentum definitions of Einstein, Papapetrou and Landau-Lifshitz and obtained that the energy-momentum distributions (due to matter plus field) of the closed universe which is based on the viscous Kasner-type metric are vanishing everywhere. These results are exactly the same as those obtained by Salti et al. and agree ...
DERELI, T; ONDER, M; TUCKER, RW (1994-03-31)
The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relat...
Citation Formats
M. Salti, “Different approaches to the Einstein energy associated with the de Sitter C-space-time,” ACTA PHYSICA SLOVACA, pp. 563–571, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64072.