Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics
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-No...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/530281 |
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| author | I. Radinschi F. Rahaman Th. Grammenos A. Spanou Sayeedul Islam |
| author_facet | I. Radinschi F. Rahaman Th. Grammenos A. Spanou Sayeedul Islam |
| author_sort | I. Radinschi |
| collection | DOAJ |
| description | 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 μ=4, where μ 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 M of the black hole, its charge q, 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 r→∞, r→0, and q=0 is studied. The special case μ=4 and α=3 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. |
| format | Article |
| id | doaj-art-50987d7f928d4c19a9ce403cfd597f4b |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-50987d7f928d4c19a9ce403cfd597f4b2025-08-20T03:36:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/530281530281Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear ElectrodynamicsI. Radinschi0F. Rahaman1Th. Grammenos2A. Spanou3Sayeedul Islam4Department of Physics, “Gheorghe Asachi” Technical University, 700050 Iasi, RomaniaDepartment of Mathematics, Jadavpur University, Kolkata 700 032, IndiaDepartment of Civil Engineering, University of Thessaly, 383 34 Volos, GreeceSchool of Applied Mathematics and Physical Sciences, National Technical University of Athens, 157 80 Athens, GreeceDepartment of Mathematics, Jadavpur University, Kolkata 700 032, IndiaA 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 μ=4, where μ 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 M of the black hole, its charge q, 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 r→∞, r→0, and q=0 is studied. The special case μ=4 and α=3 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.http://dx.doi.org/10.1155/2015/530281 |
| spellingShingle | I. Radinschi F. Rahaman Th. Grammenos A. Spanou Sayeedul Islam Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics Advances in Mathematical Physics |
| title | Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics |
| title_full | Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics |
| title_fullStr | Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics |
| title_full_unstemmed | Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics |
| title_short | Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics |
| title_sort | energy distribution of a regular black hole solution in einstein nonlinear electrodynamics |
| url | http://dx.doi.org/10.1155/2015/530281 |
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