Reissner-Nordström black holes and thick domain walls

Rafał Moderski; Marek Rogatko

doi:10.1103/PhysRevD.69.084018

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Reissner-Nordström black holes and thick domain walls

Rafał Moderski^*

Marek Rogatko^†

N. Copernicus Astronomical Center, Polish Academy of Sciences, 00-716 Warsaw, Bartycka 18, Poland

Institute of Physics, Maria Curie-Sklodowska University, 20-031 Lublin, pl. Marii Curie-Sklodowskiej 1, Poland

^*Email address: moderski@camk.edu.pl
^†Email address: rogat@tytan.umcs.lublin.pl; rogat@kft.umcs.lublin.pl

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Phys. Rev. D 69, 084018 – Published 20 April, 2004

DOI: https://doi.org/10.1103/PhysRevD.69.084018

Abstract

We solve the equations of motion numerically for real self-interacting scalar fields in the background of a Reissner-Nordström black hole and obtain a sequence of static axisymmetric solutions representing thick domain wall charged black hole systems. In the case of an extremal Reissner-Nordström black hole solution we find that there is a parameter depending on the black hole mass and the width of the domain wall which constitutes the upper limit for the expulsion to occur.

References (22)

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[c1] A. Vilenkin and E.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, England, 1994).

[c2] F. Dowker, R. Gregory, and J. Traschen, Phys. Rev. D 45, 2762 (1992); ibid.A. Achucarro, R. Gregory, and K. Kuijken, 52, 5729 (1995); ibid.A. Chamblin, J.M.A. Ashbourn-Chamblin, R. Emparan, and A. Sornborger, 58, 124014 (1998); Phys. Rev. Lett. 80, 4378 (1998); ibid.F. Bonjour and R. Gregory, 81, 5034 (1998); F. Bonjour, R. Emparan, and R. Gregory, Phys. Rev. D 59, 084022 (1999).

[c3] R. Moderski and M. Rogatko, Phys. Rev. D 57, 3449 (1998); ibid.58, 124016 (1998); ibid.60, 104040 (1999).

[c4] C. Santos and R.W. Gregory, Phys. Rev. D 61, 024006 (2000).

[c5] A.M. Ghezelbash and R.B. Mann, Phys. Lett. B 537, 329 (2002).

[c6] M.H. Dehghani, A.M. Ghezelbash, and R.B. Mann, Phys. Rev. D 65, 044010 (2002).

[c7] A.M. Ghezelbash and R.B. Mann, Phys. Rev. D 65, 124022 (2002).

[c8] M.H. Dehghani and T. Jalali, Phys. Rev. D 66, 124014 (2002).

[c9] J. De Villiers and V. Frolov, Int. J. Mod. Phys. D 7, 957 (1998); Phys. Rev. D 58, 105018 (1998).

[c10] M. Christensen, V.P. Frolov, and A.L. Larsen, Phys. Rev. D 58, 085008 (1998).

[c11] M. Snajdr, V. Frolov, and J. De Villers, Class. Quantum Grav. 19, 5887 (2003).

[c12] L. Randal and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999); ibid.83, 4690 (1999).

[c13] P. Horava and E. Witten, Nucl. Phys. B460, 506 (1996); ibid.B475, 94 (1996).

[c14] E. Witten, Nucl. Phys. B471, 135 (1996).

[c15] A. Lukas, B.A. Ovrut, K.S. Stelle, and D. Waldram, Phys. Rev. D 59, 086001 (1999); ibid.A. Lukas, B.A. Ovrut, and D. Waldram, 60, 086001 (1999).

[c16] S. Higaki, A. Ishibashi, and D. Ida, Phys. Rev. D 63, 025002 (2001).

[c17] Y. Morisawa, R. Yamazaki, D. Ida, A. Ishibashi, and K. Nakao, Phys. Rev. D 62, 084022 (2000).

[c18] Y. Morisawa, R. Yamazaki, D. Ida, A. Ishibashi, and K. Nakao, Phys. Rev. D 67, 025017 (2003).

[c19] R. Emparan, R.W. Gregory, and C. Santos, Phys. Rev. D 63, 104022 (2001).

[c20] M. Rogatko, Phys. Rev. D 64, 064014 (2001).

[c21] R. Moderski and M. Rogatko, Phys. Rev. D 67, 024006 (2003).

[c22] W.H. Press, S.A. Teukolsky, W.T. Vettering, and B.P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, England, 1992).

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