Advertisement

Dynamical instability of non-adiabatic gravitating source in Gauss-Bonnet gravity

  • G. AbbasEmail author
  • M. Tahir
Regular Article - Theoretical Physics
  • 26 Downloads

Abstract.

We have discussed the dynamical instability of a collapsing spherical object in the Einstein Gauss-Bonnet gravity. The linear perturbation method is used to construct the collapse equation from the field equations and conservation equations. The instability range for adiabatic index \( \Gamma\) has been investigated by considering Newtonian and Post-Newtonian limits. The relativistic correction of dissipation reduces instability, while the Newtonian and post-Newtonian approximations due to dissipation increase the instability range of adiabatic index \( \Gamma\). The Gauss-Bonnet term \( \alpha\) plays a dominant role in increasing the instability of the spherical object.

References

  1. 1.
    S. Chandrasekhar, Astrophys. J. 140, 417 (1964)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    L. Herrera, N.O. Santos, G. Le Denmat, Mon. Not. R. Astron. Soc. 237, 257 (1989)ADSCrossRefGoogle Scholar
  3. 3.
    L. Herrera, N.O. Santos, Phys. Rep. 286, 53 (1997)ADSMathSciNetCrossRefGoogle Scholar
  4. 4.
    L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 343, 1207 (2003)ADSCrossRefGoogle Scholar
  5. 5.
    C.W. Misner, D. Sharp, Phys. Rev. B 136, 571 (1964)ADSCrossRefGoogle Scholar
  6. 6.
    L. Herrera, N.O. Santos, G. Le Denmat, Gen. Relativ. Gravit. 44, 1143 (2012)ADSCrossRefGoogle Scholar
  7. 7.
    M. Sharif, M. Azam, Chin. Phys. B 22, 050401 (2013)ADSCrossRefGoogle Scholar
  8. 8.
    M. Sharif, M. Azam, Chin. Phys. 44, 1181 (2012)Google Scholar
  9. 9.
    M. Sharif, M. Azam, Chin. Phys. 420, 3048 (2013)Google Scholar
  10. 10.
    M. Sharif, M. Azam, J. Cosmol. Astropart. Phys. 02, 043 (2012)ADSCrossRefGoogle Scholar
  11. 11.
    S.M. Shah, G. Abbas, Eur. Phys. J. A 53, 228 (2017)ADSCrossRefGoogle Scholar
  12. 12.
    C.W. Misner, D. Sharp, Phys. Rev. B 137, 1360 (1965)CrossRefGoogle Scholar
  13. 13.
    G. Abbas, Astrophys. Space Sci. 352, 955 (2014)ADSCrossRefGoogle Scholar
  14. 14.
    G. Abbas, U. Sabiullah, Astrophys. Space Sci. 352, 769 (2014)ADSCrossRefGoogle Scholar
  15. 15.
    M. Sharif, Zahid Ahamd, Mod. Phys. Lett. A 22, 1493 (2007)ADSCrossRefGoogle Scholar
  16. 16.
    M. Sharif, Zahid Ahamd, Mod. Phys. Lett. A 22, 2947 (2007)ADSCrossRefGoogle Scholar
  17. 17.
    M. Sharif, Zahid Ahamd, J. Korean Phys. Soc. 52, 980 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    M. Sharif, Zahid Ahamd, Acta Phys. Pol. B 39, 1337 (2008)ADSGoogle Scholar
  19. 19.
    M. Sharif, Z. Yousaf, Eur. Phys. J. C 73, 2633 (2013)ADSCrossRefGoogle Scholar
  20. 20.
    M. Sharif, Z. Yousaf, Mon. Not. R. Astron. Soc. 440, 3479 (2014)ADSCrossRefGoogle Scholar
  21. 21.
    R. Stettner, Ann. Phys. 80, 212 (1973)ADSCrossRefGoogle Scholar
  22. 22.
    I. Glazer, Ann. Phys. 101, 594 (1976)ADSCrossRefGoogle Scholar
  23. 23.
    M. Sharif, M.Z. Bhatti, Mon. Not. R. Astron. Soc. 455, 1015 (2015)ADSCrossRefGoogle Scholar
  24. 24.
    M. Sharif, M.Z. Bhatti, Astropart. Phys. 56, 35 (2014)ADSCrossRefGoogle Scholar
  25. 25.
    D. Lovelock, J. Math. Phys. 12, 498 (1971)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    V.P.C. Pedro et al., Phys. Rev. Lett. B 768, 373 (2017)CrossRefGoogle Scholar
  27. 27.
    S. Chakraborty, S. SenGupta, Class. Quantum Grav. 33, 225001 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    M.B. Green, J.H. Schward, Phys. Lett. B 149, 117 (1984)ADSMathSciNetCrossRefGoogle Scholar
  29. 29.
    D.J. Gross, J. Harvey, E. Martinec, R. Rohm, Phys. Rev. Lett. 6, 502 (1985)ADSCrossRefGoogle Scholar
  30. 30.
    F. Tangherlini, Nuovo Cimento 27, 636 (1963)MathSciNetCrossRefGoogle Scholar
  31. 31.
    D.G. Boulware, S. Deser, Phys. Rev. Lett. 55, 2656 (1985)ADSCrossRefGoogle Scholar
  32. 32.
    G. Abbas, S. Sawar, Astrophys. Space Sci. 357, 23 (2015)ADSCrossRefGoogle Scholar
  33. 33.
    G. Abbas, M. Zubair, Mod. Phys. Lett. A 30, 1550038 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    J.T. Wheeler, Nucl. Phys. B 268, 737 (1986)ADSCrossRefGoogle Scholar
  35. 35.
    T. Torii, H. Maeda, Phys. Rev. D 71, 124002 (2005)ADSMathSciNetCrossRefGoogle Scholar
  36. 36.
    R.C. Myers, J.Z. Simon, Phys. Rev. D 38, 2434 (1988)ADSMathSciNetCrossRefGoogle Scholar
  37. 37.
    R.G. Cai, Phys. Rev. D 65, 084014 (2002)ADSMathSciNetCrossRefGoogle Scholar
  38. 38.
    R.G. Cai, Q. Guo, Phys. Rev. D 69, 104025 (2004)ADSMathSciNetCrossRefGoogle Scholar
  39. 39.
    M. Zubair, Hina Azmat, I. Noureen, Eur. Phys. J. C 77, 169 (2017)ADSCrossRefGoogle Scholar
  40. 40.
    M. Sharif, G. Abbas, J. Korean Phys. Soc. 56, 529 (2008)CrossRefGoogle Scholar
  41. 41.
    G. Abbas, M. Zubair, arXiv:1504.07937v1 (2015)Google Scholar
  42. 42.
    S. Jhingan, Sushant G. Ghosh, Phys. Rev. D 81, 024010 (2010)ADSCrossRefGoogle Scholar
  43. 43.
    Sunil D. Maharaj, Brian Chilambwe, Sudan Hansraj, Phys. Rev. D 91, 084049 (2015)ADSMathSciNetCrossRefGoogle Scholar
  44. 44.
    G. Abbas, M. Tahir, Eur. Phys. J. C 537, 77 (2017)Google Scholar
  45. 45.
    G. Abbas, M. Tahir, Eur. Phys. J. Plus 133, 476 (2018)CrossRefGoogle Scholar
  46. 46.
    G. Abbas, M. Tahir, Adv. High Energy Phys. 2018, 7420546 (2018)Google Scholar
  47. 47.
    S.G. Ghosh, A. Banerjee, Int. J. Mod. Phys. D 12, 639 (2003)ADSCrossRefGoogle Scholar
  48. 48.
    S.G. Ghosh, D.W. Deshkar, N.N. Saste, Int. J. Mod. Phys. D 16, 53 (2007)ADSCrossRefGoogle Scholar
  49. 49.
    S. Nojiri, S.D. Odintsov, M. Sasaki, Phys. Rev. D 71, 123509 (2005)ADSCrossRefGoogle Scholar
  50. 50.
    N. Banerjee, T. Paul, Eur. Phys. J. C 78, 130 (2018)ADSCrossRefGoogle Scholar
  51. 51.
    N. Deppe, C.D. Leonard, T. Taves, G. Kunstatter, R.B. Mann, Phys. Rev. D 86, 104011 (2012)ADSCrossRefGoogle Scholar
  52. 52.
    S.G. Ghosh, D.W. Deshkar, Phys. Rev. D 77, 047504 (2008)ADSMathSciNetCrossRefGoogle Scholar
  53. 53.
    H. Maeda, M. Nozawa, Phys. Rev. D 77, 064031 (2008)ADSMathSciNetCrossRefGoogle Scholar
  54. 54.
    B.K. Harrison, K.S. Thorne, M. Wakano, J.A. Wheeler, Gravitation Theory and Gravitational Collapse (Gautheir-Villars, 1927)Google Scholar
  55. 55.
    S. Chandrasekhar, J. Astrophys. 140, 417 (1964)ADSMathSciNetCrossRefGoogle Scholar
  56. 56.
    L. Herrera, J. Jimenez, M. Esculpi, Phys. Rev. D 36, 2986 (1987)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsThe Islamia University of BahawalpurBahawalpurPakistan

Personalised recommendations