On the Energy of a Non-Singular Black Hole Solution Satisfying the Weak Energy Condition

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...

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Bibliographic Details
Main Authors: Irina Radinschi, Theophanes Grammenos, Farook Rahaman, Marius-Mihai Cazacu, Andromahi Spanou, Joydeep Chakraborty
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/6/10/169
Description
Summary: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.
ISSN:2218-1997