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Rotating charged black holes in Einstein-Born-Infeld theories and their ADM mass

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Abstract

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the nonlinear static cases) and the ADM angular momentum of the system have been modified by the non linear electromagnetic field of the black hole, are considered.

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References

  1. Hoffmann, B.: Phys. Rev. 47, 887 (1935)

    Article  Google Scholar 

  2. Cirilo Lombardo, D.J.: The axially symmetric geometry with Born-Infeld fields: Rotating Einstein-Born-Infeld model. Tesis de la Licenciatura en Ciencias Físicas (undergraduate thesis), Universidad De Buenos Aires, September of 2001, 61 pp

  3. Harari, D., Loustó, C.: Phys. Rev. D 42, 2626 (1990)

    Article  CAS  Google Scholar 

  4. Borde, A.: Regular black holes and topology change. [gr-qc/9612057]

  5. Barbashov, B.M., Chernikov, N.A.: Zh. Eksp. Theor. Fiz. (JETP) 50, 1296 (1966); 51, 658 (1966); Commun. Math. Phys. 5, 313 (1966)

  6. Metsaev, R., Tseytlin, A.: Nucl. Phys. B 293, 385 (1987)

    Article  Google Scholar 

  7. Andreev, O., Tseytlin, A.: Nucl. Phys. B 311, 205 (1988)

    Article  Google Scholar 

  8. Aboud Zeid, M.: Actions for curved branes. [hep-th/0001127]

  9. Brecher, D., Perry, M.J.: Nucl. Phys. B 566, 151 (2000)

    Article  Google Scholar 

  10. Born, M., Infeld, L.: Proc. Roy. Soc. Lond. 144, 425 (1934).

    Google Scholar 

  11. Born, M.: Proc. Roy. Soc. Lond. 143, 411 (1934)

    Google Scholar 

  12. Landau, L.D., Lifshitz, E.M.: Teoría clásica de los Campos. Reverté, Buenos Aires (1974) p. 504

  13. Misner, C., Thorne, K., Weeler, J.A.: Gravitation Freeman, San Francisco (1973), p. 474

  14. Chandrasekhar, S.: The Mathematical Theory of Black Holes. Oxford University Press, Oxford (1992) p. 632

    Google Scholar 

  15. Cirilo Lombardo, D.J.: Probl. At. Sci. Technol. 6, 71 (2001)

    Google Scholar 

  16. Shoen, R., Yau, S.T.: Commun. Math. Phys. 65, 1457 (1979)

    Google Scholar 

  17. Penrose, R.: Ann. New York Acad. Sci. 224, 125 (1973)

    Google Scholar 

  18. Cirilo Lombardo, D.J.: Preprint JINR-E2-2003-221

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Correspondence to Diego Julio Cirilo Lombardo.

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Lombardo, D.J.C. Rotating charged black holes in Einstein-Born-Infeld theories and their ADM mass. Gen Relativ Gravit 37, 847–856 (2005). https://doi.org/10.1007/s10714-005-0071-6

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  • DOI: https://doi.org/10.1007/s10714-005-0071-6

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