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Role of Bulk Viscosity and Electromagnetic Field on the Stability of Collapsing Cylinder

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Abstract

This paper deals with the instability regions of charged cylindrically symmetric star with anisotropic matter distribution consisting on radial heat flux and bulk viscosity. We explore junction conditions by taking the external geometry in retarded time coordinates. The Einstein-Maxwell field and conservation equations are perturbed to formulate the collapse equation. Instability regions with Newtonian and post-Newtonian limits are then studied which indicate the importance of adiabatic index. We find that instability range depends upon anisotropic pressure, energy density, electromagnetic field and bulk viscosity. It is concluded that bulk viscosity decreases the instability range leading to stability while electromagnetic field increases the instability range.

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References

  1. Rudeman, M.: Ann. Rev. Astron. Astrophys. 10, 427 (1972)

    Article  ADS  Google Scholar 

  2. Esculpi, M., Aloma, E.: Eur. Phys. J. C 67, 521 (2010)

    Article  ADS  Google Scholar 

  3. Sharif, M., Yousaf, Z.: Can. J. Phys. 90, 865 (2012) ; Int. J. Mod. Phys. D 21, 1250095 (2012)

    Article  ADS  Google Scholar 

  4. Sharif, M., Bhatti, M.Z.: Mod. Phys. Lett. A 27, 1250141 (2012)

    Article  ADS  Google Scholar 

  5. Ori, A.: Class. Quantum Gravity 7, 985 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  6. Barreto, W., Silva, A.D.: Class. Quantum Gravity 16, 1783 (1999)

    Article  ADS  Google Scholar 

  7. Fayos, F., Senovilla, J.M.M., Torres, R.: Class. Quantum Gravity 20, 2579 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  8. Pinheiro, G., Chan, R.: Gen. Relativ. Gravit. 45, 243 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  9. Dionysiou, D.: Astrophys. Space Sci. 111, 207 (1985)

    Article  ADS  Google Scholar 

  10. Tiwari, R., Rao, J., Kanakamedala, R.: Phys. Rev. D 34, 1205 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  11. Lasky, P.D., Lun, A.W.C.: Phys. Rev. D 75, 104010 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  12. Sharif, M., Abbas, G.: Gen. Relativ. Gravit. 44, 2353 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  13. Sharif, M., Bhatti, M.Z.: Gen. Relativ. Gravit. 44, 2811 (2012) ; Can. J. Phys. 90, 233 (2012); Astrophys. Space Sci. 347, 337 (2013)

    Article  ADS  Google Scholar 

  14. Sharif, M., Yousaf, Z.: Mon. Not. R. Astron. Soc. 432, 264 (2013) ; ibid. 434, 2529 (2013); Phys. Rev. D 88, 024020 (2013)

    Article  ADS  Google Scholar 

  15. Abbas, G.: Astrophys. Space Sci. 352, 955 (2014)

    Article  ADS  Google Scholar 

  16. Golda, Z., Heller, M., Szydlowski, M.: Astrophys. Space Sci. 90, 313 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  17. Pimentel, L.O., Diaz-Rivera, L.M.: Nuovo Cim. B 109, 1317 (1994)

    Article  ADS  Google Scholar 

  18. Sa’d, B.A., Shovkovy, I.A., Rischke, D.H.: Phys. Rev. D 75, 125004 (2007)

    Article  ADS  Google Scholar 

  19. Arbab, A.I.: Chin. J. Astron. Astrophys. 3, 113 (2003)

    Article  ADS  Google Scholar 

  20. Martínez, J., Pavón, D.: Mon. Not. R. Astron. Soc. 268, 654 (1994)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. Regge, T., Wheeler, J.A.: Phys. Rev. 108, 1063 (1957)

    Article  MathSciNet  ADS  Google Scholar 

  23. Chandrasekhar, S.: Astrophys. J. 140, 417 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  24. Harpaz, A., Rosen, N.: Astrophys. J. 355, 210 (1990) ; ibid. 371, 254 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  25. Chan, R., Herrera, L., Santos, N.O.: Mon. Not. R. Astron. Soc. 256, 533 (1993) ; ibid. 267, 637 (1994)

    Article  ADS  Google Scholar 

  26. Shibata, M.: Astrophys. J. 605, 350 (2004)

    Article  ADS  Google Scholar 

  27. Herrera, L., Le Denmat, G., Santos, N.O.: Gen. Relativ. Gravit. 44, 1143 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  28. Roupas, Z.: Class. Quantum Gravity 30, 115018 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  29. Sharif, M., Bhatti, M.Z.: J. Cosmol. Astropart. Phys. 10, 056 (2013) ; Astrophys. Space. Sci. 355, 2174 (2014)

    Article  ADS  Google Scholar 

  30. Sharif, M., Bhatti, M.Z.: J. Cosmol. Astropart. Phys. 11, 014 (2013) ; Astropart. Phys. 56, 35 (2014); Phys. Lett. A 378, 469 (2014); Int. J. Mod. Phys. D 23, 1450085 (2014)

    Article  ADS  Google Scholar 

  31. Sharif, M., Yousaf, Z.: Eur. Phys. J. C 73, 2633 (2013)

    Article  ADS  Google Scholar 

  32. Thorne, K.S.: Phys. Rev. B 138, 251 (1965)

    Article  MathSciNet  ADS  Google Scholar 

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

    Google Scholar 

  34. Chao-Guang, H.: Acta Phys. Sin. 4, 617 (1995)

    ADS  Google Scholar 

  35. Harrison, B.K., Thorne, K.S., Wakano, M., Wheeler, J.A.: Gravitation Theory and Gravitational Collapse. University of Chicago Press, Chicago (1965)

  36. Joshi, P.S., Dadhich, N., Maartens, R.: Phys. Rev. D 65, 101501 (2002)

    Article  MathSciNet  ADS  Google Scholar 

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Acknowledgments

We would like to thank the Higher Education Commission, Islamabad, Pakistan for its financial support through the Indigenous Ph.D. Fellowship for 5K Scholars, Phase-II, Batch-I.

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Authors and Affiliations

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

    M. Sharif & M. Zaeem Ul Haq Bhatti

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  1. M. Sharif
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  2. M. Zaeem Ul Haq Bhatti
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Correspondence to M. Sharif.

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Sharif, M., Ul Haq Bhatti, M.Z. Role of Bulk Viscosity and Electromagnetic Field on the Stability of Collapsing Cylinder. Int J Theor Phys 54, 2921–2931 (2015). https://doi.org/10.1007/s10773-015-2527-0

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  • DOI: https://doi.org/10.1007/s10773-015-2527-0

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