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Generating Interior Sources for the Reissner-Nordström Metric

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Abstract

We study the Einstein-Maxwell equations for isotropic pressure distributions. We postulate a relationship between the electric field intensity and one of the gravitational potentials. An algorithm is developed that allows us to systematically generate new classes of exact solutions for charged relativistic stars. The solutions are expressed in terms of simple elementary functions; it is possible to parametrize the solutions so that different values of a constant allows us to tabulate the models. For a particular class it is possible to generate models without any integration. We study the qualitative features of a particular solution, and show that it is physically reasonable in the region of a spherical shell surrounding the centre.

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References

  1. Ivanov, B.V.: Phys. Rev. D 65, 104001 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  2. Fatema, S., Murad, M.H.: Int. J. Theor. Phys. 52, 2508 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  3. Murad, M.H., Fatema, S.: Astrophys. Space Sci. 343, 587 (2013)

    Article  ADS  Google Scholar 

  4. Gupta, Y.K., Maurya, S.K.: Astrophys. Space Sci. 332, 155 (2011)

    Article  ADS  MATH  Google Scholar 

  5. Maurya, S.K., Gupta, Y.K.: Int. J. Theor. Phys. 51, 943 (2012)

    Article  MATH  Google Scholar 

  6. Hansraj, S., Maharaj, S.D.: Int. J. Mod. Phys. D 15, 1311 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  7. Thirukkanesh, S., Maharaj, S.D.: Class. Quantum Gravity 23, 2697 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. Thirukkanesh, S., Maharaj, S.D.: Math. Methods Appl. Sci. 32, 684 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Durgapal, M.C., Bannerji, R.: Phys. Rev. D 27, 328 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  10. Finch, M.R., Skea, J.E.F.: Class. Quantum Gravity 6, 467 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  11. Walecka, J.D.: Phys. Lett. B 59, 109 (1975)

    Article  ADS  Google Scholar 

  12. Komathiraj, K., Maharaj, S.D.: J. Math. Phys. 48, 042501 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  13. Tikekar, R.: J. Math. Phys. 31, 2454 (1990)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Nilsson, U.S., Uggla, C.: Ann. Phys. 286, 278 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  15. Nilsson, U.S., Uggla, C.: Ann. Phys. 286, 292 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. Nduka, A.: Gen. Relativ. Gravit. 493, 493 (1976)

    Article  ADS  Google Scholar 

  17. Singh, T., Yadav, R.B.S.: Acta Phys. Pol. 89, 831 (1978)

    ADS  MathSciNet  Google Scholar 

  18. Kuchowicz, B.: Acta Phys. Pol. 33, 451 (1968)

    Google Scholar 

  19. Feroze, T., Siddiqui, A.A.: Gen. Relativ. Gravit. 43, 1025 (2011)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  20. Maharaj, S.D., Mafa Takisa, P.: Gen. Relativ. Gravit. 44, 1419 (2012)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  21. Thirukkanesh, S., Ragel, F.C.: Pramana—J. Phys. 78, 687 (2012)

    Article  ADS  Google Scholar 

  22. Thirukkanesh, S., Maharaj, S.D.: Class. Quantum Gravity 25, 235001 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  23. Mafa Takisa, P., Maharaj, S.D.: Gen. Relativ. Gravit. 45, 1951 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  24. Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  25. Shapiro, S., Teukolsky, S.: Black Holes, White Dwarfs and Neutron Stars. Wiley, New York (1983)

    Book  Google Scholar 

  26. Hansraj, S.: Il Nuovo Cimento B 1, 71 (2010)

    MathSciNet  Google Scholar 

  27. Wolfram, S.: Mathematica. Wolfram Research, Champaign (2010)

    Google Scholar 

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Acknowledgements

S.H., S.D.M. and T.M. thank the National Research Foundation and the University of KwaZulu-Natal for ongoing support. S.D.M. acknowledges that this work is based upon research supported by the South African Research Chair Initiative of the Department of Science and Technology and the National Research Foundation. We are grateful to the referees for valuable comments that have substantially improved the manuscript.

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Authors and Affiliations

  1. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, Private Bag X54001, University of KwaZulu-Natal, Durban, 4000, South Africa

    S. Hansraj, S. D. Maharaj & T. Mthethwa

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  1. S. Hansraj
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  2. S. D. Maharaj
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  3. T. Mthethwa
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Correspondence to S. D. Maharaj.

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Hansraj, S., Maharaj, S.D. & Mthethwa, T. Generating Interior Sources for the Reissner-Nordström Metric. Int J Theor Phys 53, 759–772 (2014). https://doi.org/10.1007/s10773-013-1864-0

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  • DOI: https://doi.org/10.1007/s10773-013-1864-0

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