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On a Regular Charged black Hole with a Nonlinear Electric Source

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Abstract

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with p r =−ρ which resembles the Maxwell stress tensor at r>>q 2/2m, where q and m are the mass and charge of the particle, respectively. We found the black hole horizon entropy obeys the relation S=|W|/2T=A H /4, with W the Komar energy and A H the horizon area. The electric field around the source depends not only on its charge but also on its mass. The corresponding electrostatic potential Φ(r) is finite everywhere, vanishes at the origin and at r=q 2/6m and is nonzero asymptotically, with \({\Phi }_{\infty } = 3m/2q\).

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Notes

  1. Let us mention that recently Ghosh [14] used the exponential cutoff e x p(−k/r) from (2.4) to regulate the rotating black hole solution.

References

  1. Bardeen, J.: Proceedings of GR5, Tiflis,USSR (1968)

  2. Bronnikov, K.A., Shikin, G.N.: Class. Quan. Theory Grav., Trudy IF AN BSSR, p.88, Minsk, (1976), (in Russian)

  3. Bronnikov, K.A.: Phys. Rev. D63, 044005 (2001). arXiv:0006014 [gr-qc]

    MathSciNet  ADS  Google Scholar 

  4. A. Borde: Phys. Rev. D55, 7615 (1997). arXiv:gr-qc/9612057

    ADS  Google Scholar 

  5. Barrabes, C., Frolov, V.P.: Phys. Rev D53, 3215 (1996)

    MathSciNet  ADS  Google Scholar 

  6. Mars, M., Martin-Prats, M.M., Senovilla, J.M.M. Class. Quan. Grav. 13, L51 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Ayon-Beato, E., Garcia, A.: Gen. Relat. Grav. 31, 629 (1999). arXiv:gr-qc/9911084

    Article  MathSciNet  ADS  Google Scholar 

  8. Bonanno, A., Reuter, M.: Phys. Rev. D62, 043008 (2000). arXiv:hep-th/0002196

    ADS  Google Scholar 

  9. Nicolini, P., Smailagici, A., Spallucci, E.: Phys. Lett. B632, 547 (2006). arXiv:gr-qc/0510112

    Article  ADS  Google Scholar 

  10. Myung, Y.S., Kim, Y.-W., Park, Y.-J. Phys. Lett. B656, 221 (2007). arXiv: gr-qc/0702145

    Article  MathSciNet  ADS  Google Scholar 

  11. Hayward, S.A.: Phys. Rev. Lett. 96, 031103 (2006). arXiv:gr-qc/0506126

    Article  ADS  Google Scholar 

  12. Ayon-Beato, E., Garcia, A.: Phys. Lett. B493, 149 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  13. Xiang, L., Ling, Y., Shen, Y.G.: Int. J. Mod. Phys. D22, 1342016 (2013). arXiv:1305.3851 [gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  14. Ghosh, S.G.: arXiv:1408.5668 [gr-qc]

  15. Ayon-Beato, E., Garcia, A.: Phys. Rev. Lett. 80, 5056 (1998)

    Article  ADS  MATH  Google Scholar 

  16. Balart, l., Vagenas, E.: Phys. Lett. B730, 14 (2014). arXiv:1401.2136 [gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  17. Balart, l., Vagenas, E.: arXiv:1408.0306 [gr-qc]

  18. Culetu, H.: arXiv:1305.5964 [gr-qc]

  19. Padmanabhan, T.: Class. Quantum Grav. 21, 4485 (2004). arXiv:grqc/0308070

    Article  MathSciNet  ADS  Google Scholar 

  20. Culetu, H.: Mach’s Principle and Special Relativity. In: Proceedings of the National Colloquium on the Theory of Relativity. Iassy University, Romania (1979)

  21. Ghose, P.: arXiv:1408.2403 [gr-qc]

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  1. Department of Physics, Ovidius University, Mamaia Avenue 124, 900527, Constanta, Romania

    Hristu Culetu

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  1. Hristu Culetu
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Culetu, H. On a Regular Charged black Hole with a Nonlinear Electric Source. Int J Theor Phys 54, 2855–2863 (2015). https://doi.org/10.1007/s10773-015-2521-6

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