Energy Associated With Charged Dilaton Black Holes

Abstract

It is known that certain properties of charged dilaton black holes depend on a free parameter β which controls the strength of the coupling of the dilaton to the Maxwell field. We obtain the energy associated with static spherically symmetric charged dilaton black holes for arbitrary value of the coupling parameter and find that the energy distribution depends on the value of β. With increasing radial distance, the energy in a sphere increases for β = 0 as well as for β < 1, decreases for β > 1, and remains constant for β = 1. However, the total energy turns out to be the same for all values of β.

Energy–momentum in Viscous Kasner-Type Universe in Bergmann–thomson Formulations

“…The energy and momentum complex of Møller gives the possibility to make the calculations in any coordinate system [9]. To this end Virbhadra and his collaborators have considered many space-time models and have shown that several energy-momentum complexes give the same and acceptable results for a given space-time [10,11,12,13,14,15,16,17,18]. For example: Virbhadra [19], using the energy and momentum complexes of Einstein, Landau-Lifshitz, Papapetrou and Weinberg's for a general non-static spherically symmetric metric of the Kerr-Schild class and showed that all of these energy-momentum formulations give the same energy distribution as in Penrose energy-momentum formulation.…”

Energy distribution of a stringy charged black hole

“…Chamorro and Virbhadra [16] and Xulu [17] showed, using Einstein and Møller prescriptions, that the energy distribution of charged dilation black hole [10] depends on the value λ; E Einst = M −…”

Energy of a Stringy Charged Black Hole in the Teleparallel Gravity

“…The energy distribution was found that it depends on the mass M and the charge Q. For example; ChamorroVirbhadra [14] and Xulu [16] showed, considering the general relativity analogs of Einstein and Møller's definitions, that the energy of a charged dilaton black hole depends on the value ω which controls the coupling between the dilaton and the Maxwell fields.…”

“…In general relativity and teleparallel gravity, several examples of particular space-times have been investigated and different energy-momentum pseudo-tensor are known to give the same energy distribution for a given space-time [12,13,14,15,16,17,18,19]. Virbhadra [13], using the energy and momentum complexes of Einstein, Landau-Lifshitz, Papapetrou and Weinberg for a general non-static spherically symmetric metric of the Kerr-Schild class, showed that all of these energy-momentum formulations give the same energy distribution as in the Penrose energy-momentum formulation.…”