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Stability and Dynamics of Regular Thin-Shell Gravastars

  • NUCLEI, PARTICLES, FIELDS, GRAVITATION, AND ASTROPHYSICS
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Abstract

This paper explores the stable and dynamical configuration of thin-shell gravastars developed from the matching of exterior (Hayward and Hayward anti-de Sitter black holes) and interior (de Sitter) spacetimes. These spacetimes are connected at a thin-shell by considering Visser cut and paste technique. The matter surface energy density and pressure are formulated from the Lanczos equations. We consider the shaded regions to discuss the stability of gravastars by using radial perturbation at the equilibrium shell radius. We then observe thin-shell dynamics with massless as well as massive scalar field through equations of motion and Klein-Gordon equations. The respective scalar thin-shell represents collapse and expansion of the developed structure with the shell radius, velocity and effective potential. We conclude that stable regions of gravastar shell decrease and dynamical configuration (collapse and expansion) increase with cosmological constant.

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REFERENCES

  1. J. M. Bardeen, in Proceedings of GR5 (Tiflis, USSR, 1968), p. 174.

  2. E. Ayón-Beato and A. García, Phys. Rev. Lett. 80, 5056 (1998);

    Article  ADS  Google Scholar 

  3. Gen. Rel. Grav. 629, 31 (1999);

  4. Phys. Lett. B 25, 464 (1999);

  5. Phys. Lett. B 149, 493 (2000).

  6. S. A. Hayward, Phys. Rev. Lett. 96, 031103 (2006).

    Article  ADS  Google Scholar 

  7. M. Wen-Juan, C. Rong-Gen, and S. Ru-Keng, Commun. Theor. Phys. 46, 453 (2006).

    Article  ADS  Google Scholar 

  8. Z. Y. Fan and X. Wang, Phys. Rev. D 94, 124027 (2016);

    Article  ADS  MathSciNet  Google Scholar 

  9. Z. Y. Fan, Eur. Phys. J. C 77, 266 (2017).

    Article  ADS  Google Scholar 

  10. S. Fernando, Int. J. Mod. Phys. D 26, 07 (2017).

  11. P. Mazur and E. Mottola, arXiv: gr-qc/0109035; Proc. Natl. Acad. Sci. U. S. A. 101, 9545 (2004).

    Article  ADS  Google Scholar 

  12. W. Israel, Nuovo Cim. B 44, 1 (1966).

    Article  ADS  Google Scholar 

  13. M. Visser, S. Kar, and N. Dadhich, Phys. Rev. Lett. 90, 201102 (2003).

    Article  ADS  MathSciNet  Google Scholar 

  14. S. H. Mazharimousavi, M. Halilsoy, and Z. Amirabi, Phys. Rev. D 81, 104002 (2010).

    Article  ADS  Google Scholar 

  15. F. Rahaman, S. Ray, A. K. Jafry, and K. Chakraborty, Phys. Rev. D 82, 104055 (2010).

    Article  ADS  Google Scholar 

  16. M. Sharif and M. Azam, Eur. Phys. J. C 73, 2407 (2013).

    Article  ADS  Google Scholar 

  17. M. Sharif and F. Javed, Gen. Rel. Grav. 48, 158 (2016).

    Article  ADS  Google Scholar 

  18. S. D. Forghani, S. Habib Mazharimousavi, and M. Halilsoy, Eur. Phys. J. C 78, 469 (2018).

    Article  ADS  Google Scholar 

  19. M. Sharif and F. Javed, Astrophys. Space Sci. 364, 179 (2019);

    Article  ADS  Google Scholar 

  20. Chin. J. Phys. 61, 262 (2019);

  21. Int. J. Mod. Phys. D 29, 2050007 (2020).

  22. M. Sharif, S. Mumtaz, and F. Javed, Int. J. Mod. Phys. A 35, 2050030 (2020).

    Article  ADS  Google Scholar 

  23. M. Visser and D. L. Wiltshire, Class. Quantum Grav. 21, 1135 (2004).

    Article  ADS  Google Scholar 

  24. B. M. N. Carter, Class. Quantum Grav. 22, 4551 (2005).

    Article  ADS  Google Scholar 

  25. D. Horvat, S. Ilijic, and A. Marunovic, Class. Quantum Grav. 26, 025003 (2009).

    Article  ADS  Google Scholar 

  26. Usmani et al., Phys. Lett. B 701, 388 (2011).

    Article  ADS  Google Scholar 

  27. A. Banerjee, F. Rahaman, S. Islam, and M. Govender, Eur. Phys. J. C 76, 34 (2016).

    Article  ADS  Google Scholar 

  28. P. Rocha, R. Chan, da M. F. A. Silva, and A. Wang, J. Cosmol. Astropart. Phys. 2008, 010 (2008);

  29. R. Chan, M. F. A. da Silva, P. Rocha, and A. Wang, J. Cosmol. Astropart. Phys. 2009, 10 (2009);

    Article  ADS  Google Scholar 

  30. J. Cosmol. Astropart. Phys. 2011, 13 (2011).

  31. D. Horvat, S. Ilijic, and A. Marunovic, Class. Quantum Grav. 28, 195008 (2011).

    Article  ADS  Google Scholar 

  32. F. Rahaman, A. A. Usmani, S. Ray, and S. Islam, Phys. Lett. B 707, 319 (2012);

    Article  ADS  MathSciNet  Google Scholar 

  33. Phys. Lett. B 717, 1 (2012).

  34. F. S. N. Lobo, and R. Garattini, J. High Energy Phys. 1312, 065 (2013).

  35. A. Övgün, A. Banerjee, and K. Jusufi, Eur. Phys. J. C 77, 566 (2017).

    Article  ADS  Google Scholar 

  36. M. Sharif and F. Javed, Ann. Phys. 415, 168124 (2020).

    Article  Google Scholar 

  37. J. A. Wheeler, Phys. Rev. 97, 511 (1955);

    Article  ADS  MathSciNet  Google Scholar 

  38. D. R. Brill and J. A. Wheeler, Phys. Rev. 105, 1662 (1957).

    Article  MathSciNet  Google Scholar 

  39. Q. Bergmann and R. Leipnik, Phys. Rev. 107, 1157 (1957).

    Article  ADS  MathSciNet  Google Scholar 

  40. D. J. Kaup, Phys. Rev. 172, 1331 (1968).

    Article  ADS  Google Scholar 

  41. E. Seidel and W. Suen, Phys. Rev. D 42, 384 (1990).

    Article  ADS  Google Scholar 

  42. M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993);

    Article  ADS  Google Scholar 

  43. C. R. Evans and J. S. Coleman, Phys. Rev. Lett. 72, 1782 (1994);

    Article  ADS  Google Scholar 

  44. D. Christodoulou, Ann. Math. 140, 607 (1994);

    Article  MathSciNet  Google Scholar 

  45. E. Malec, Class. Quantum Grav. 13, 1849 (1995);

    Article  ADS  Google Scholar 

  46. C. Gundlach, Phys. Rev. Lett. 75, 3214 (1995);

    Article  ADS  MathSciNet  Google Scholar 

  47. P. R. Bardy, Class. Quantum Grav. 11, 1255 (1996).

    Article  ADS  Google Scholar 

  48. D. Núñez, H. Quevedo, and M. Salgado, Phys. Rev. D 58, 083506 (1998).

    Article  ADS  Google Scholar 

  49. M. Sharif and G. Abbas, Gen. Relativ. Grav. 44, 2353 (2012).

    Article  ADS  Google Scholar 

  50. M. Sharif and S. Iftikhar, Astrophys. Space Sci. 356, 89 (2015).

    Article  ADS  Google Scholar 

  51. M. Sharif and F. Javed, Int. J. Mod. Phys. D 28, 1950046 (2019);

    Article  ADS  Google Scholar 

  52. Ann. Phys. 407, 198 (2019);

  53. Mod. Phys. Lett. A 35, 1950350 (2019);

  54. Ann. Phys. 416, 168146 (2020).

  55. G. Abbas and M. R. Shahzad, Int. J. Mod. Phys. A 35, 2050028 (2020).

    Article  ADS  Google Scholar 

  56. F. Rahaman, A. Banerjee, and I. Radinschi, Int. J. Theor. Phys. 52, 2943 (2013).

    Article  Google Scholar 

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ACKNOWLEDGMENTS

One of us (FJ) would like to thank the Higher Education Commission, Islamabad, for its financial support through 6748/Punjab/NRPU/RD/HEC/2016.

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Authors and Affiliations

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

    M. Sharif &  Faisal Javed

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  1. M. Sharif
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  2. Faisal Javed
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Correspondence to M. Sharif or Faisal Javed.

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Sharif, M., Faisal Javed Stability and Dynamics of Regular Thin-Shell Gravastars. J. Exp. Theor. Phys. 132, 381–393 (2021). https://doi.org/10.1134/S1063776121030109

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  • DOI: https://doi.org/10.1134/S1063776121030109

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