Abstract
The energy-momentum localization for a new four-dimensional and spherically symmetric, charged black hole solution that through a coupling of general relativity with non-linear electrodynamics is everywhere non-singular while it satisfies the weak energy condition, is investigated. The Einstein and Møller energy-momentum complexes have been employed in order to calculate the energy distribution and the momenta for the aforesaid solution. It is found that the energy distribution depends explicitly on the mass and the charge of the black hole, on two parameters arising from the space-time geometry considered, and on the radial coordinate. Further, in both prescriptions all the momenta vanish. In addition, a comparison of the results obtained by the two energy-momentum complexes is made, whereby some limiting and particular cases are pointed out.
Highlights
Even though the problem of energy-momentum localization has triggered a plethora of interesting research work, it still remains not fully answered for more than a century
(14), and the expressions (24)–(26) for the superpotentials, the energy distribution in the Einstein prescription for the new charged non-singular black hole solution satisfying the weak energy condition is obtained as EE = M
The aim of Discussion this work is the study of the energy-momentum distribution for a new spherically
Summary
Even though the problem of energy-momentum localization has triggered a plethora of interesting research work, it still remains not fully answered for more than a century. As far as the energy-momentum complexes of Einstein [8], Landau-Lifshitz [10], Papapetrou [11], Bergmann-Thomson [12], and Weinberg [14] are concerned, they are pseudotensorial quantities and coordinate dependent. They can be used to perform calculations in Schwarzschild Cartesian coordinates and in Kerr-Schild Cartesian coordinates, and they have generated physically meaningful results [15,16,17,18,19,20,21]. Greek indices run from 0 to 3, while Latin indices take values from 1 to 3
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