Astrophysics and Space Science

, Volume 352, Issue 2, pp 955–961 | Cite as

Effects of electromagnetic field on the collapse and expansion of anisotropic gravitating source

Original Article

Abstract

This paper is devoted to study the effects of electromagnetic on the collapse and expansion of anisotropic gravitating source. For this purpose, we have evaluated the generating solutions of Einstein–Maxwell field equations with spherically symmetric anisotropic gravitating source. We found that a single function generates the various anisotropic solutions. In this case every generating function involves an arbitrary function of time which can be chosen to fit several astrophysical time profiles. Two physical phenomenon occur, one is gravitational collapse and other is the cosmological expanding solution. In both cases electromagnetic field effects the anisotropy of the model. For collapse the anisotropy is increased while for expansion it deceases from maximum value to finite positive value. In case of collapse there exits two horizons like in case of Reissner–Nordström metric.

Keywords

Gravitational collapse Electromagnetic field 

Notes

Acknowledgement

We highly appreciate the fruitful comments of the anonymous referee for the improvements of the paper.

References

  1. Ardavan, H., Partovi, M.H.: Phys. Rev. D 16, 1664 (1977) ADSCrossRefGoogle Scholar
  2. Abbas, G.: Astrophys. Space Sci. 350, 307 (2014a) ADSCrossRefGoogle Scholar
  3. Abbas, G.: Sci. China, Phys. Mech. Astron. 57, 604 (2014b) ADSCrossRefGoogle Scholar
  4. Abbas, G.: Adv. High Energy Phys. 2014, 306256 (2014c) CrossRefGoogle Scholar
  5. Bayin, S.S.: Phys. Rev. D 26, 1262 (1982) ADSMathSciNetCrossRefGoogle Scholar
  6. Bondi, H.: Mon. Not. R. Astron. Soc. 259, 365 (1992) ADSCrossRefGoogle Scholar
  7. Barcelo, C., Liberati, S., Sonego, S., Visser, M.: Phys. Rev. D 77, 044032 (2008) ADSCrossRefGoogle Scholar
  8. Barrow, J.D., Maartens, R.G.: Phys. Rev. D 59, 043502 (1998) ADSCrossRefGoogle Scholar
  9. Cosenza, M., Herrera, L., Esculpi, M., Witten, L.: J. Math. Phys. 22, 118 (1981) ADSMathSciNetCrossRefGoogle Scholar
  10. Cognola, G., Elizalde, E., Nojiri, S., Odintov, S.D., Zerbini, S.: Phys. Rev. D 75, 086002 (2007) ADSMathSciNetCrossRefGoogle Scholar
  11. Di Prisco, A., Herrera, L., Denmat, G.Le., MacCallum, M.A.H., Santos, N.O.: Phys. Rev. D 76, 064017 (2007) ADSCrossRefGoogle Scholar
  12. Glass, E.N.: Phys. Lett. A 86, 351 (1981) ADSCrossRefGoogle Scholar
  13. Glass, E.N.: Gen. Relativ. Gravit. 45, 2661 (2013) ADSCrossRefGoogle Scholar
  14. Gasperini, M., Veneziano, G.: Astropart. Phys. 1, 317 (1993) ADSCrossRefGoogle Scholar
  15. Germani, C., Tsagas, C.G.: Phys. Rev. D 73, 064010 (2006) ADSMathSciNetCrossRefGoogle Scholar
  16. Herrera, L., Di Prisco, A., Ibanez, J.: Phys. Rev. D 84, 107501 (2011) ADSCrossRefGoogle Scholar
  17. Herrera, L., Ospino, J., Di Prisco, A.: Phys. Rev. D 77, 027502 (2008a) ADSMathSciNetCrossRefGoogle Scholar
  18. Herrera, L., Santos, N.O., Wang, A.: Phys. Rev. D 78, 084024 (2008b) ADSCrossRefGoogle Scholar
  19. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Spacetime. Cambridge University Press, Cambridge (1979) MATHGoogle Scholar
  20. Herrera, L., Santos, N.O.: Phys. Rep. 286, 53 (1997) ADSMathSciNetCrossRefGoogle Scholar
  21. Joshi, P.S.: Global Aspects in Gravitation and Cosmology. Oxford University Press, London (1993) MATHGoogle Scholar
  22. Misner, C.W., Sharp, D.: Phys. Rev. 136, B571 (1964) ADSCrossRefGoogle Scholar
  23. Misner, C.W., Sharp, D.H.: Phys. Lett. 15, 279 (1965) ADSCrossRefGoogle Scholar
  24. Nojiri, S., Odintov, S.D.: Phys. Lett. B 631, 1 (2005) ADSMathSciNetCrossRefGoogle Scholar
  25. Nojiri, S., Odintov, S.D., Gorbunova, O.G.: J. Phys. A 39, 6627 (2006) ADSMathSciNetCrossRefGoogle Scholar
  26. Oppenheimer, J.R., Snyder, H.: Phys. Rev. 56, 455 (1939) ADSCrossRefGoogle Scholar
  27. Penrose, R.: Riv. Nuovo Cimento 1, 252 (1969) Google Scholar
  28. Sharif, M., Abbas, G.: J. Phys. Soc. Jpn. 82, 034006 (2013a) ADSCrossRefGoogle Scholar
  29. Sharif, M., Abbas, G.: Chin. Phys. B 22, 030401 (2013b) ADSCrossRefGoogle Scholar
  30. Sharif, M., Abbas, G.: Eur. Phys. J. Plus 28, 10 (2013c) Google Scholar
  31. Stein-Schabes, J.A.: Phys. Rev. D 31, 1838 (1985) ADSMathSciNetCrossRefGoogle Scholar
  32. Sharif, M., Bhatti, M.Z.: Gen. Relativ. Gravit. 44, 281 (2012a) Google Scholar
  33. Sharif, M., Bhatti, M.Z.: Mod. Phys. Lett. A 27, 1250141 (2012b) ADSCrossRefGoogle Scholar
  34. Sharif, M., Yousaf, Z.: Can. J. Phys. 90, 865 (2012) ADSCrossRefGoogle Scholar
  35. Thorne, K.S.: Phys. Rev. 138, B251 (1965) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS Institute of Information TechnologySahiwalPakistan

Personalised recommendations