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Advances in Mathematical Physics
Volume 2015, Article ID 530281, 12 pages
Research Article

Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics

1Department of Physics, “Gheorghe Asachi” Technical University, 700050 Iasi, Romania
2Department of Mathematics, Jadavpur University, Kolkata 700 032, India
3Department of Civil Engineering, University of Thessaly, 383 34 Volos, Greece
4School of Applied Mathematics and Physical Sciences, National Technical University of Athens, 157 80 Athens, Greece

Received 23 February 2015; Revised 11 May 2015; Accepted 25 May 2015

Academic Editor: Giorgio Kaniadakis

Copyright © 2015 I. Radinschi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A study about the energy momentum of a new four-dimensional spherically symmetric, static and charged, regular black hole solution developed in the context of general relativity coupled to nonlinear electrodynamics is presented. Asymptotically, this new black hole solution behaves as the Reissner-Nordström solution only for the particular value , where is a positive integer parameter appearing in the mass function of the solution. The calculations are performed by use of the Einstein, Landau-Lifshitz, Weinberg, and Møller energy momentum complexes. In all the aforementioned prescriptions, the expressions for the energy of the gravitating system considered depend on the mass of the black hole, its charge , a positive integer α, and the radial coordinate r. In all these pseudotensorial prescriptions, the momenta are found to vanish, while the Landau-Lifshitz and Weinberg prescriptions give the same result for the energy distribution. In addition, the limiting behavior of the energy for the cases , , and is studied. The special case and is also examined. We conclude that the Einstein and Møller energy momentum complexes can be considered as the most reliable tools for the study of the energy momentum localization of a gravitating system.