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Singularity-free non-exotic compact star in f(R, T) gravity

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Abstract

In the present work, we have searched for the existence of anisotropic and non-singular compact star in the f(R, T) gravity by taking into account the non-exotic equation of state (EoS). In order to obtain the solutions of the matter content of the compact object, we assume the well-known barotropic form of EoS that yields the linear relation between pressures and energy density. We propose the existence of non-exotic compact star which shows the validation of energy conditions and stability within the perspective of f(R, T) extended theory of gravity. The linear material correction in the extended theory and matter content of compact star can remarkably satisfy energy condition. We discuss various physical features of the compact star and show that the proposed model of the stellar object satisfies all regularity conditions and is stable as well as singularity-free.

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References

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

    ADS  Google Scholar 

  2. A G Riess et al, Astrophys. J. 607, 665 (2004)

    ADS  Google Scholar 

  3. D S Akerib et al, Phys. Rev. Lett. 118, 021303 (2017)

    ADS  Google Scholar 

  4. J Antoniadis et al, Science 340, 1233232 (2013)

    Google Scholar 

  5. A K Yadav, Braz. J. Phys. 49, 262 (2019)

    ADS  Google Scholar 

  6. P H R S Moraes and P K Sahoo, Phys. Rev. D 96, 044038 (2017)

    ADS  MathSciNet  Google Scholar 

  7. A K Yadav, Euro Phys. J. Plus 129, 194 (2014)

    Google Scholar 

  8. A K Yadav and A T Ali, Int. J. Geom. Meth. Mod. Phys. 15, 1850026 (2018)

    Google Scholar 

  9. P H R S Moreas, Euro. Phys. J. C 75, 168 (2015)

    ADS  Google Scholar 

  10. C P Singh and P Kumar, Eur. Phys. J. C 74, 3070 (2014)

    ADS  Google Scholar 

  11. H Shabani and M Farhoudi, Phys. Rev. D 88, 044048 (2013)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  13. M Sharif and M Zubair, Astrophys. Space Sci. 349, 457 (2014)

    ADS  Google Scholar 

  14. D R Reddy and R S Kumar, Astrophys. Space Sci. 344, 253 (2013)

    ADS  Google Scholar 

  15. R L Bowers and Liang, J. Astrophys. 188, 657 (1974)

  16. L Herrera et al, Phys. Rev. D 69, 084026 (2004)

    ADS  Google Scholar 

  17. R Sharma, S Mukherjee and S D Maharaj, Gen. Relativ. Gravit. 33, 999 (2001)

    ADS  Google Scholar 

  18. M A Agueros et al, Astron. J. 131, 1740 (2006)

    ADS  Google Scholar 

  19. A Hewish et al, Nature 217, 709 (1968)

    ADS  Google Scholar 

  20. S K Maurya, Y K Gupta, S Ray and B Dayanandan, Eur. Phys. J. C 75, 225 (2015)

    ADS  Google Scholar 

  21. S K Maurya, Y K Gupta, S Ray and D Deb, Eur. Phys. J. C 76, 693 (2016)

  22. S K Maurya, Y K Gupta, F Rahaman, M Rahaman and A Banerjee, Ann. Phys. 385, 532 (2017)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  24. S K Maurya, Y K Gupta, B Dayanandan and S Ray, Eur. Phys. J. C 76, 266 (2016)

    ADS  Google Scholar 

  25. A Aziz, S Ray and F Rahaman, Eur. Phys. J. C 76, 248 (2016)

    ADS  Google Scholar 

  26. F Rahaman et al, Eur. Phys. J. C 74, 3126 (2014)

    ADS  Google Scholar 

  27. D Momeni, M Faizal, K Myrzakulov and R Myrzakulov, Eur. Phys. J. C 77, 37 (2017)

    ADS  Google Scholar 

  28. P H R S Moreas and P K Sahoo, Phys. Rev. D 97, 024007 (2018)

    ADS  MathSciNet  Google Scholar 

  29. M Zubair, G Abbas and I Noureen, Astrophys. Space Sci. 361, 1 (2016)

    ADS  Google Scholar 

  30. A Alhamazawi and R Alhamazawi, Int. J. Mod. Phys. D 25, 1650020 (2016)

    ADS  Google Scholar 

  31. F Rahaman et al, Int. J. Theor. Phys. 53, 1910 (2014)

    Google Scholar 

  32. M Zubair, S Waheed and Y Ahmad, Euro. Phys. J. C 76, 444 (2016)

    ADS  Google Scholar 

  33. K D Krori and J Barua, J. Phys. A 8, 508 (1975)

    ADS  Google Scholar 

  34. F Rahaman et al, Gen. Relat. Grav. 44, 107 (2012)

    ADS  Google Scholar 

  35. M Azreg-Ainou, J. Cosmol. Astropart. Phys. 07, 037 (2015)

    ADS  MathSciNet  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  37. T Guver, P Wroblesski, L Camarota and F Ozel, Astrophys. J. 712, 964 (2010)

    ADS  Google Scholar 

  38. D Hochberg and M Visser, Phys. Rev. D 58, 044021 (1998)

    ADS  MathSciNet  Google Scholar 

  39. F Rahaman, M Kalam and K A Rahaman, Mod. Phys. Lett. A 23, 1199 (2008)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  41. S Chandrasekhar, Astrophys. J. 140, 417 (1964)

    ADS  MathSciNet  Google Scholar 

  42. H Bondi, Proc. R. Soc. Lond. Ser. A. 281, 39 (1964)

    ADS  MathSciNet  Google Scholar 

  43. P B Demorest, T Pennucci, S M Ransom, M S E Roberts and J W T Hessels, Nature 467, 1081 (2010)

    ADS  Google Scholar 

  44. T Guver, P Wroblesski, L Camarota and F Ozel, Astrophys. J. 719, 1807 (2010)

    ADS  Google Scholar 

  45. T Gangopadhyay, S Ray, X D Li, J Dey and M Dey, Mon. Not. R. Astron. Soc. 431, 3216 (2013)

    ADS  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

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Acknowledgements

FR would like to thank the authorities of the Inter-University Centre for Astronomy and Astrophysics, Pune, India for providing the research facilities. FR is also thankful to DST-SERB, Government of India and RUSA 2.0, Jadavpur University for financial support.

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Authors and Affiliations

  1. Department of Physics, United College of Engineering and Research, Greater Noida, 201 310, India

    Anil Kumar Yadav

  2. Department of Mathematics, Jadavpur University, Kolkata, 700 032, India

    Monimala Mondal & Farook Rahaman

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  1. Anil Kumar Yadav
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  2. Monimala Mondal
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  3. Farook Rahaman
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Correspondence to Farook Rahaman.

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Yadav, A.K., Mondal, M. & Rahaman, F. Singularity-free non-exotic compact star in f(R, T) gravity. Pramana - J Phys 94, 90 (2020). https://doi.org/10.1007/s12043-020-01960-7

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  • DOI: https://doi.org/10.1007/s12043-020-01960-7

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