ENERGY–MOMENTUM OF A REGULAR MMaS–CLASS BLACK HOLE

Abstract

We compute the energy and momentum of a regular black hole of type defined by Mars, Martín-Prats, and Senovilla using the Einstein and Papapetrou definitions for energy-momentum density. Some other definitions of energy-momentum density are shown to give mutually contradictory and less reasonable results. Results support the Cooperstock hypothesis.

Energy Distribution Associated with Static Axisymmetric Solutions

“…These examples indicate that the idea of localization does not follow the lines of pseudo-tensorial construction but instead it follows from the energy-momentum tensor itself. This supports the welldefined proposal developed by Cooperstock Cooperstock and Sarracino (1978) and verified by many authors Sharif (2002Sharif ( , 2003Sharif ( , 2004; Gad (2004a,b); Patashnick (2005); Sharif and Fatima (2005a,b);Fatima (2004). In GR, many energy-momentum expressions (reference frame dependent pseudo-tensors) have been proposed.…”

“…However, for some systems Sharif (2002Sharif ( , 2003Sharif ( , 2004; Gad (2004a,b); Patashnick (2005); Sharif and Fatima (2005a,b); Fatima (2004), these prescriptions disagree. The debate on the localization of energy-momentum is an interesting and a controversial problem.…”

“…Energy-momentum complexes provide the same acceptable energy-momentum distribution for some systems. However, for some systems [22][23][24][25][26][27][28][29][30], these prescriptions disagree. The debate on the localization of energy-momentum is an interesting and a controversial problem.…”

“…Ragab [25,26] obtained contradictory results for Gödel-type metrics and Curzon metric which is a special solution of the Weyl metrics. Patashnick [27] showed that different prescriptions give mutually contradictory results for a regular MMaSclass black hole. In recent papers, we extended this procedure to the non-null Einstein-Maxwell solutions, electromagnetic generalization of Gödel solution, singularity-free cosmological model and Weyl metrics [28][29][30].…”

Localization of energy for a regular black hole solution in an asymptotically de Sitter spacetime geometry

“…All of the above show the importance of the energy-momentum complexes and stress their utility for the localization of energy. The localization of energy for non-singular black hole solutions by using different energy-momentum complexes has been activated rather recently, when interesting studies [60][61][62][63] arose. In particular, the energy of the Ayón-Beato-García black hole solution has been computed in [64,65] by using the Einstein, Weinberg and Møller prescriptions, while in our paper we study the energy and momentum distribution of the Ayón-Beato-García-Bronnikov-de Sitter (ABGB-dS) regular black hole in an asymptotically de Sitter spacetime geometry [66].…”