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Charged cylindrical collapse of anisotropic fluid

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Abstract

Following the scheme developed by Misner and Sharp, we discuss the dynamics of gravitational collapse. For this purpose, an interior cylindrically symmetric spacetime is matched to an exterior charged static cylindrically symmetric spacetime using the Darmois matching conditions. Dynamical equations are obtained with matter dissipating in the form of shear viscosity. The effect of charge and dissipative quantities over the cylindrical collapse are studied. Finally, we show that homogeneity in energy density and conformal flatness of spacetime are necessary and sufficient for each other.

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References

  1. Oppenheimer J.R., Snyder H.: Phys. Rev. 56, 455 (1939)

    Article  MATH  ADS  Google Scholar 

  2. Joshi P.S., Sindh T.P.: Phys. Rev. D51, 6778 (1995)

    ADS  Google Scholar 

  3. Misner C.W., Sharp D.: Phys. Rev. 136, B571 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  4. Darmois, G.: Memorial des Sciences Mathematiques (Gautheir-Villars, Paris, 1927) Fasc. 25

  5. Sharif M., Ahmad Z.: Mod. Phys. Lett. A22, 1493 (2007)

    MathSciNet  ADS  Google Scholar 

  6. Sharif M., Ahmad Z.: Mod. Phys. Lett. A22, 2947 (2007)

    MathSciNet  ADS  Google Scholar 

  7. Sharif M., Ahmad Z.: Gen. Relativ. Gravit. 39, 1331 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Kurita Y., Nakao K.: Phys. Rev. D73, 064022 (2006)

    MathSciNet  ADS  Google Scholar 

  9. Herrera L., Di Prisco A., Martin J., Ospino J., Santos N.O., Troconis O.: Phys. Rev. D69, 084026 (2004)

    ADS  Google Scholar 

  10. Herrera L., Santos N.O.: Phys. Rev. D70, 084004 (2004)

    MathSciNet  ADS  Google Scholar 

  11. Mitra A.: Phys. Rev. D74, 024010 (2006)

    ADS  Google Scholar 

  12. Chan R.: Astron. Astrophys. 368, 325 (2001)

    Article  ADS  Google Scholar 

  13. Herrera L., Santos N.O.: Mon. Not. R. Astron. Soc. 343, 1207 (2003)

    Article  ADS  Google Scholar 

  14. Herrera L., Le Denmat G., Santos N.O., Wang A.: Int. J. Mod. Phys. D13, 583 (2004)

    MathSciNet  ADS  Google Scholar 

  15. Herrera L., Di Prisco A., MacCallum M.A.H., Santos N.O.: Phys. Rev. D80, 064031 (2009)

    MathSciNet  ADS  Google Scholar 

  16. Herrera L., Le Denmat G., Marcilhacy G., Santos N.O.: Int. J. Mod. Phys. D14, 657 (2005)

    MathSciNet  ADS  Google Scholar 

  17. Herrera L.: Int. J. Mod. Phys. D15, 2197 (2006)

    MathSciNet  ADS  Google Scholar 

  18. Herrera L., Di Prisco A., Fuenmayor E., Troconis O.: Int. J. Mod. Phys. D18, 129 (2009)

    ADS  Google Scholar 

  19. Sharif M., Rehmat Z.: Gen. Relativ. Gravit. 42, 1795 (2010)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  20. Bekenstein J.D.: Phys. Rev. D4, 2185 (1971)

    ADS  Google Scholar 

  21. Oppenheimer J.R., Volkoff G.: Phys. Rev. 55, 374 (1939)

    Article  MATH  ADS  Google Scholar 

  22. Nath S., Debnath U., Chakraborty S.: Astrophys. Space Sci. 313, 431 (2008)

    Article  MATH  ADS  Google Scholar 

  23. Sharif M., Abbas G.: Mod. Phys. Lett. A24, 2551 (2009)

    MathSciNet  ADS  Google Scholar 

  24. Di Prisco A., Herrera L., Le Denmat G., MacCallum M.A.H., Santos N.O.: Phys. Rev. D76, 064017 (2007)

    ADS  Google Scholar 

  25. Kandalkar S.P., Gawanda S.P.: Astrophys. Space Sci. 318, 263 (2008)

    Article  ADS  Google Scholar 

  26. Hayward S.A.: Class. Quantum Grav. 17, 1749 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. Poisson E.: A Relaivistic’s Toolkit. Cambrridge University Press, Cambrridge (2004)

    Book  Google Scholar 

  28. Chao-guang H.: Acta Phys. Sin. 4, 617 (1960)

    ADS  Google Scholar 

  29. Chan R., Herrera L., Santos N.O.: Mon. Not. R. Astron. Soc. 265, 533 (1993)

    ADS  Google Scholar 

  30. Bonnor W.: Z. Phys. B 160, 59 (1995)

    MathSciNet  Google Scholar 

  31. Sharif, M., Siddiqa, A.: Gen. Relativ. Gravit. (2010, to appear)

Download references

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    M. Sharif & Sundas Fatima

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  1. M. Sharif
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  2. Sundas Fatima
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Correspondence to M. Sharif.

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Sharif, M., Fatima, S. Charged cylindrical collapse of anisotropic fluid. Gen Relativ Gravit 43, 127–142 (2011). https://doi.org/10.1007/s10714-010-1076-3

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  • DOI: https://doi.org/10.1007/s10714-010-1076-3

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