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Einstein and Møller energies of a particular asymptotically Reissner–Nordström non‐singular black hole solution
Author(s) -
Radinschi Irina,
Grammenos Theophanes,
Sahoo Pradyumn Kumar,
Chattopadhyay Surajit,
Cazacu Marius Mihai
Publication year - 2021
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.202113917
Subject(s) - physics , black hole (networking) , mathematical physics , general relativity , classical mechanics , charge (physics) , angular momentum , momentum (technical analysis) , einstein , charged black hole , quantum electrodynamics , quantum mechanics , gravitation , schwarzschild radius , computer network , routing protocol , routing (electronic design automation) , finance , computer science , economics , link state routing protocol
The localization of energy‐momentum for a four‐dimensional charged, static, and spherically symmetric, non‐singular black hole solution that asymptotically behaves as a Reissner–Nordström solution, is studied. The space–time geometry is distinguished by a particular distribution function entering the mass function m ( r ) . The non‐singular character of the metric is warranted by the coupling of general relativity with a non‐linear electrodynamics, whereby the resulting electric field is everywhere non‐singular and asymptotically tends to the Maxwell field. The energy and momentum distributions are computed by applying the Einstein and Møller energy‐momentum complexes. It is found that all the momenta vanish, while the energies depend on the electric charge, the mass, and the radial coordinate. Finally, the behavior of the energies near the origin, near infinity, as well as in the case of a vanishing electric charge is examined.