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Equilibrium configurations of anisotropic polytropes in f(R, T) gravity

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Abstract.

This paper explores the anisotropic stellar configurations governed by polytopic equation of state in f(R, T) theory (where R denotes the Ricci scalar and T is the trace of energy-momentum tensor). For this purpose, we numerically solve the system of differential equations obtained from the field equations and hydrostatic equilibrium equation. We investigate physical characteristics of polytropic stars and examine their stability using both causality condition as well as the adiabatic index. It is concluded that stellar configurations are stable and the value of mass function lies within the Chandrasekhar limit.

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References

  1. D.J. Eicher, The New Cosmos Answering Astronomy’s Big Questions (Cambridge University Press, 2015)

  2. R. Tooper, Astrophys. J. 140, 434 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  3. M.K. Mak, T. Harko, Int. J. Mod. Phys. D 13, 149 (2004)

    Article  ADS  Google Scholar 

  4. F. Özel, G. Baym, T. Güver, Phys. Rev. D 82, 101301 (2010)

    Article  ADS  Google Scholar 

  5. L. Herrera, W. Barreto, Phys. Rev. D 88, 084022 (2013)

    Article  ADS  Google Scholar 

  6. L. Herrera, A. Di Prisco, W. Barreto, J. Ospino, Gen. Relativ. Gravit. 46, 1827 (2014)

    Article  ADS  Google Scholar 

  7. M. Sharif, S. Sadiq, Eur. Phys. J. C 76, 568 (2016)

    Article  ADS  Google Scholar 

  8. J. Herman, M. Cuesta, J.M. Salim, Astrophys. J. 608, 925 (2004)

    Article  ADS  Google Scholar 

  9. H.A. Buchdahl, Phys. Rev. 116, 1027 (1959)

    Article  ADS  MathSciNet  Google Scholar 

  10. B.V. Ivanov, Phys. Rev. D 65, 104011 (2002)

    Article  ADS  Google Scholar 

  11. T. Harko, F.S.N. Lobo, S. Nojiri, S.D. Odintsov, Phys. Rev. D 84, 024020 (2011)

    Article  ADS  Google Scholar 

  12. T. Harko, F.S.N. Lobo, Galaxies 2, 410 (2014)

    Article  ADS  Google Scholar 

  13. M. Sharif, M. Zubair, JCAP 03, 28 (2012)

    Article  ADS  Google Scholar 

  14. H. Shabani, M. Farhoudi, Phys. Rev. D 90, 044031 (2014)

    Article  ADS  Google Scholar 

  15. P.H.R.S. Moraes, Eur. Phys. J. C 75, 168 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  16. M. Sharif, A. Siddiqa, Mod. Phys. Lett. A 32, 1750151 (2017)

    Article  ADS  Google Scholar 

  17. G. Abbas, S. Sarwar, Astrophys. Space Sci. 352, 769 (2014)

    Article  ADS  Google Scholar 

  18. M. Sharif, Z. Yousaf, Astrophys. Space Sci. 354, 471 (2014)

    Article  ADS  Google Scholar 

  19. I. Noureen, M. Zubair, Astrophys. Space Sci. 356, 103 (2015)

    Article  ADS  Google Scholar 

  20. M. Zubair, G. Abbas, I. Noureen, Astrophys. Space Sci. 361, 8 (2016)

    Article  ADS  Google Scholar 

  21. Z. Yousaf, M.Z. Bhatti, Farwa Ume, Class. Quantum Grav. 34, 145002 (2017)

    Article  ADS  Google Scholar 

  22. P.H.R.S. Moraes, D.V.A. José, M. Malheiro, JCAP 06, 005 (2016)

    Article  ADS  Google Scholar 

  23. M. Sharif, A. Waseem, Can. J. Phys. 94, 1024 (2016)

    Article  ADS  Google Scholar 

  24. G.A. Carvalho et al., Eur. Phys. J. C 77, 871 (2017)

    Article  ADS  Google Scholar 

  25. M. Sharif, A. Siddiqa, Eur. Phys. J. Plus 132, 529 (2017)

    Article  Google Scholar 

  26. D. Deb, F. Rahaman, S. Ray, B.K. Guha, arXiv:1711.10721

  27. S.K. Maurya, S. Ray, S. Ghosh, S. Manna, T.T. Smitha arXiv:1710.02002

  28. P.H.R.S. Moraes, Eur. Phys. J. C 75, 168 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  29. M.F. Shamir, Eur. Phys. J. C 75, 354 (2015)

    Article  ADS  Google Scholar 

  30. R.A.C. Correa, P.H.R.S. Moraes, Eur. Phys. J. C 76, 100 (2016)

    Article  ADS  Google Scholar 

  31. A. Das, F. Rahaman, B.K. Guha, S. Ray, Eur. Phys. J. C 76, 654 (2016)

    Article  ADS  Google Scholar 

  32. A. Das, S. Ghosh, B.K. Guha, S. Das, F. Rahaman, S. Ray, Phys. Rev. D 95, 124011 (2017)

    Article  ADS  Google Scholar 

  33. H. Shabani, A.H. Ziaie, Eur. Phys. J. C 77, 31 (2017)

    Article  ADS  Google Scholar 

  34. B.M. Gu, Y.P. Zhang, H. Yu, Y.X. Liu, Eur. Phys. J. C 77, 115 (2017)

    Article  ADS  Google Scholar 

  35. N.J. Poplawski, arXiv:gr-qc/0608031

  36. V. Faraoni, Phys. Rev. D 80, 124040 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  37. M. Zubair, S. Waheed, Y. Ahmad, Eur. Phys. J. C 76, 444 (2016)

    Article  ADS  Google Scholar 

  38. M. Zubair, H. Azmat, I. Noureen, Eur. Phys. J. C 77, 169 (2017)

    Article  ADS  Google Scholar 

  39. J. Barrientos, G.F. Rubilar, Phys. Rev. D 90, 028501 (2014)

    Article  ADS  Google Scholar 

  40. H. Heintzmann, W. Hillebrandt, Astron. Astrophys. 38, 51 (1975)

    ADS  Google Scholar 

  41. P.H.R.S. Moraes, W. de Paula, R.A.C. Correa, arXiv:1710.07680

  42. E.J.M. Madarassy, V.T. Toth, Phys. Rev. D 91, 044041 (2015)

    Article  ADS  Google Scholar 

  43. I. Sagert, M. Hempel, C. Greiner, J.S. Bielich, Eur. J. Phys. 27, 577 (2006)

    Article  Google Scholar 

  44. J.R. Openheimer, G.M. Volkof, Phys. Rev. 55, 15 (1939)

    Article  Google Scholar 

  45. M. Sharif, A. Ikram, Int. J. Mod. Phys. D 27, 1750182 (2018)

    Article  ADS  Google Scholar 

  46. S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars (John Wiley and Sons, 1983)

  47. L. Herrera, Phys. Lett. A 165, 206 (1992)

    Article  ADS  Google Scholar 

  48. H. Abreu, H. Hernández, L.A. Núñez, Class. Quantum Grav. 24, 4631 (2007)

    Article  ADS  Google Scholar 

  49. P.H. Chavanis, T. Harko, Phys. Rev. D 86, 064011 (2012)

    Article  ADS  Google Scholar 

  50. I. Bombaci, Astron. Astrophys. 305, 871 (1996)

    ADS  Google Scholar 

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Sharif, M., Siddiqa, A. Equilibrium configurations of anisotropic polytropes in f(R, T) gravity. Eur. Phys. J. Plus 133, 226 (2018). https://doi.org/10.1140/epjp/i2018-12060-8

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  • DOI: https://doi.org/10.1140/epjp/i2018-12060-8

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