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Temperature evolution in the presence of anisotropic stresses

  • Megandhren Govender
  • Adhir Maharaj
  • Darren Lortan
  • David Day
Original Article
  • 43 Downloads

Abstract

In a recent paper by Das et al. (Astrophys. Space Sci. 361:99, 2016) it was shown that the sign of the anisotropy parameter plays a pivotal role in determining the time of formation of the horizon of a collapsing radiating star. Spurred on by this observation we investigate the impact of the (an)isotropy featured in the (Das et al. in Astrophys. Space Sci. 361:99, 2016) collapsing model on the temperature profiles of the evolving system. We show that the temperature within the stellar interior is increased as the anisotropy in the pressure grows. Relaxational effects due to heat dissipation within the core further enhances the temperature at each interior point of the stellar distribution.

Keywords

Dissipation Gravitational collapse Thermodynamics 

Notes

Acknowledgements

The authors are grateful to the National Research Foundation (NRF) and the Durban University of Technology for financial support.

References

  1. Anile, A.M., Pavon, D., Romano, V.: Report gr-qc/9810014 (1998)
  2. Banerjee, A., Chatterjee, S., Dadhich, N.: Mod. Phys. Lett. A 17, 2335 (2002) ADSCrossRefGoogle Scholar
  3. Brassel, B.P., Maharaj, S.D., Govender, G.: Adv. Math. Phys. 2015, 274251 (2015) CrossRefGoogle Scholar
  4. Cooperstock, F.I., Jhingan, S., Joshi, P.S., Singh, T.P.: Class. Quantum Gravity 14, 2195 (1997) ADSCrossRefGoogle Scholar
  5. Das, S., Sharma, R., Paul, B.C., Deb, R.: Astrophys. Space Sci. 361, 99 (2016) ADSCrossRefGoogle Scholar
  6. Deb, R., Paul, B.C., Tikekar, R.: Pramana J. Phys. 79, 211 (2012) ADSCrossRefGoogle Scholar
  7. Deshingkar, S.S., Jhingan, S., Joshi, P.S.: Gen. Relativ. Gravit. 30, 1477 (1998) ADSCrossRefGoogle Scholar
  8. Ghosh, S.G., Beesham, A.: Phys. Rev. D 64, 124005 (2001) ADSMathSciNetCrossRefGoogle Scholar
  9. Govender, M.: Int. J. Mod. Phys. D 22, 1350049 (2013) ADSCrossRefGoogle Scholar
  10. Govender, M., Maharaj, S.D., Maartens, R.: Class. Quantum Gravity 15, 323 (1998) ADSCrossRefGoogle Scholar
  11. Govender, M., Maartens, R., Maharaj, S.D.: Mon. Not. R. Astron. Soc. 310, 557 (1999) ADSCrossRefGoogle Scholar
  12. Govender, M., Reddy, K.P., Maharaj, S.D.: Int. J. Mod. Phys. D 23, 1450013 (2014) ADSCrossRefGoogle Scholar
  13. Govender, M., Bogadi, R.S., Maharaj, S.D.: Int. J. Mod. Phys. D 26, 1750065 (2017) ADSCrossRefGoogle Scholar
  14. Herrera, L., Le Denmat, G., Santos, N.O., Wang, A.: Int. J. Mod. Phys. D 13, 583 (2004) ADSCrossRefGoogle Scholar
  15. Joshi, P.S., Goswami, R., Dadhich, N.: eprint arXiv:gr-qc/0308012 (2003)
  16. Lake, K.: Phys. Rev. D 62, 027301 (2000) ADSMathSciNetCrossRefGoogle Scholar
  17. Maeda, H.: Phys. Rev. D 73, 104004 (2006) ADSMathSciNetCrossRefGoogle Scholar
  18. Maharaj, S.D., Tiwari, S.A.K., Mohanlal, R., Narain, R.: J. Math. Phys. 57, 092501 (2016) ADSMathSciNetCrossRefGoogle Scholar
  19. Naidu, N.F., Govender, M.: Int. J. Mod. Phys. D 25, 1650092-434 (2016) ADSCrossRefGoogle Scholar
  20. Naidu, N.F., Govender, M., Thirukkanesh, S., Maharaj, S.D.: Gen. Relativ. Gravit. 49, 95 (2017) ADSCrossRefGoogle Scholar
  21. Naidu, N.F., Govender, M., Maharaj, S.D.: Eur. Phys. J. C 78, 48 (2018) ADSCrossRefGoogle Scholar
  22. Ohashi, S., Shiromizu, T., Jhingan, S.: Phys. Rev. D 86, 044008 (2012) ADSCrossRefGoogle Scholar
  23. Oppenheimer, J.R., Snyder, H.: Phys. Rev. 56, 455 (1939) ADSCrossRefGoogle Scholar
  24. Santos, N.O.: Mon. Not. R. Astron. Soc. 216, 403 (1985) ADSCrossRefGoogle Scholar
  25. Sharma, R., Tikekar, R.: Gen. Relativ. Gravit. 44, 2503 (2012) ADSCrossRefGoogle Scholar
  26. Sharma, R., Das, S., Tikekar, R.: Gen. Relativ. Gravit. 47, 25 (2015) ADSCrossRefGoogle Scholar
  27. Singh, T.P., Joshi, P.S.: Class. Quantum Gravity 13, 559 (1996) ADSCrossRefGoogle Scholar
  28. Vaidya, P.C.: Nature 171, 260 (1953) ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  • Megandhren Govender
    • 1
  • Adhir Maharaj
    • 1
  • Darren Lortan
    • 1
  • David Day
    • 1
  1. 1.Department of MathematicsDurban University of TechnologyDurbanSouth Africa

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