Skip to main content
SpringerLink
Log in

Stellar modelling of PSR J1614-2230 using the Karmarkar condition

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract.

The main objective of the paper is to provide a new family of solutions of embedding class one describing the interior of a spherically symmetric anisotropic stellar configuration. For \(n= 6, 8, 10\) and 12, all the physical parameters are well-behaved within the stellar interior and our model satisfies all the required conditions to be physically viable. Due to the well-behaved nature of the solution of the above n values, we develop the model of PSR J1614-2230 (Nature 467, 1081 (2010)) and discuss the behavior of the class of solutions extensively. By analyzing the adiabatic index (\(\Gamma\)) we observe that for lower values of n, i.e., \(n=6\), the star is soft and as we increase the value of n the star becomes stiff.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K. Schwarzschild, Sitz. Deut. Akad. Wiss. Berlin Kl. Math. Phys. 1916, 189 (1916) arXiv:physics/9905030

    Google Scholar 

  2. K. Schwarzschild, Sitz. Deut. Akad. Wiss. Berlin Kl. Math. Phys. 24, 424 (1916) arXiv:physics/9912033

    Google Scholar 

  3. R.C. Tolman, Phys. Rev. 55, 364 (1939)

    Article  ADS  Google Scholar 

  4. J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939)

    Article  ADS  Google Scholar 

  5. G. Lemaitre, Ann. Soc. Sci. Brux. A 53, 51 (1933)

    Google Scholar 

  6. J. Jeans, Mon. Not. R. Astron. Soc. 82, 122 (1922)

    Article  ADS  Google Scholar 

  7. R. Ruderman, Annu. Rev. Astron. Astrophys. 10, 427 (1972)

    Article  ADS  Google Scholar 

  8. R.L. Bowers, E.P.T. Liang, Astrophys. J. 188, 657 (1974)

    Article  ADS  Google Scholar 

  9. L. Herrera, N.O. Santos, Phys. Rep. 286, 53 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  10. F. Weber, Pulsars as Astrophysical Observatories for Nuclear and Particle Physics (Institute of Physics Publishing, Bristol, 1999)

  11. A.I. Sokolov, J. Exp. Theor. Phys. 79, 1137 (1980)

    Google Scholar 

  12. R.F. Sawyer, Phys. Rev. Lett. 29, 382 (1972)

    Article  ADS  Google Scholar 

  13. K.R. Karmarkar, Proc. Indian Acad. Sci. A 27, 56 (1948)

    Article  Google Scholar 

  14. S.D. Maharaj, M. Govender, Aust. J. Phys. 50, 959 (1997)

    Article  ADS  Google Scholar 

  15. K. Komathiraj, S.D. Maharaj, Gen. Relativ. Gravit. 39, 2079 (2007)

    Article  ADS  Google Scholar 

  16. B.V. Ivanov, Gen. Relativ. Gravit. 44, 1835 (2012)

    Article  ADS  Google Scholar 

  17. B.V. Ivanov, Eur. Phys. J. C 78, 332 (2018)

    Article  ADS  Google Scholar 

  18. Piyali Bhar, Astrophys. Space Sci. 359, 41 (2015)

    Article  ADS  Google Scholar 

  19. Piyali Bhar, M.H. Murad, Astrophys. Space Sci. 361, 334 (2016)

    Article  ADS  Google Scholar 

  20. Farook Rahman et al., Eur. Phys. J. C 74, 3126 (2014)

    Article  ADS  Google Scholar 

  21. Piyali Bhar et al., Astrophys. Space Sci. 361, 343 (2016)

    Article  ADS  Google Scholar 

  22. M. Malaver, Front. Math. Its Appl. 1, 9 (2014)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  24. Piyali Bhar et al., Astrophys. Space Sci. 359, 13 (2015)

    Article  ADS  Google Scholar 

  25. Ksh. Newton Singh, Neeraj Pant, N. Pradhan, Astrophys. Space Sci. 361, 173 (2016)

    Article  ADS  Google Scholar 

  26. Ksh. Newton Singh, Neeraj Pant, Astrophys. Space Sci. 361, 177 (2016)

    Article  ADS  Google Scholar 

  27. Ksh. Newton Singh, Piyali Bhar, Neeraj Pant, Int. J. Mod. Phys. D 25, 1650099 (2016)

    Article  Google Scholar 

  28. Ksh. Newton Singh, Piyali Bhar, Neeraj Pant, Astrophys. Space Sci. 361, 339 (2016)

    Article  ADS  Google Scholar 

  29. Pratibha Fuloria, Neeraj Pant, Eur. Phys. J. A 53, 227 (2017)

    Article  Google Scholar 

  30. Piyali Bhar et al., Eur. Phys. J. A 52, 312 (2016)

    Article  ADS  Google Scholar 

  31. Piyali Bhar et al., Int. J. Mod. Phys. D 26, 1750090 (2017)

    Article  Google Scholar 

  32. Piyali Bhar, Megan Govender, Int. J. Mod. Phys. D 26, 1750053 (2017)

    Article  Google Scholar 

  33. Piyali Bhar et al., Int. J. Mod. Phys. D 26, 1750078 (2017)

    Article  Google Scholar 

  34. K. Newton Singh et al., Mod. Phys. Lett. A 32, 1750093 (2017)

    Article  Google Scholar 

  35. K. Newton Singh et al., Ann. Phys. 377, 256 (2017)

    Article  ADS  Google Scholar 

  36. S.K. Maurya, S.D. Maharaj, Eur. Phys. J. C 77, 328 (2017)

    Article  ADS  Google Scholar 

  37. S.K. Maurya, Eur. Phys. J. A 53, 89 (2017)

    Article  ADS  Google Scholar 

  38. Maurya et al., Eur. Phy. J. C 76, 266 (2016)

    Article  ADS  Google Scholar 

  39. M.H. Murad, Eur. Phys. J. C 78, 285 (2018)

    Article  ADS  Google Scholar 

  40. T. Gangopadhyay et al., Mon. Not. R. Astron. Soc. 431, 3216 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  42. H. Abreu et al., Class. Quantum Grav. 24, 4631 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  45. R. Chan, L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 267, 637 (1994)

    Article  ADS  Google Scholar 

  46. B.K. Harrison, Gravitational Theory and Gravitational Collapse (University of Chicago Press, Chicago, 1965)

  47. Y.B. Zeldovich, I.D. Novikov, Relativistic Astrophysics Vol. 1: Stars and Relativity (University of Chicago Press, Chicago, 1971)

  48. S.N. Pandey, S.P. Sharma, Gen. Relativ. Gravit. 14, 113 (1981)

    Article  ADS  Google Scholar 

  49. J. Ponce de Leon, Gen. Relativ. Gravit. 19, 797 (1987)

    Article  ADS  Google Scholar 

  50. W. Hillebrandt, K.O. Steinmetz, Astron. Astrophys. 53, 283 (1976)

    ADS  Google Scholar 

  51. H. Bondi, Proc. R. Soc. London A 281, 39 (1964)

    Article  ADS  Google Scholar 

  52. R. Chan et al., Mon. Not. R. Astron. Soc. 265, 533 (1993)

    Article  ADS  Google Scholar 

  53. L. Herrera et al., Astrophys. J. 234, 1094 (1979)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  55. L. Herrera, J. Ospino, A. Di Prisco, Phys. Rev. D 77, 027502 (2008)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, National Defence Academy, 411023, Khadakwasla, Pune, India

    Satyanarayana Gedela, Ravindra K. Bisht & Neeraj Pant

Authors
  1. Satyanarayana Gedela
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ravindra K. Bisht
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Neeraj Pant
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Neeraj Pant.

Additional information

Communicated by L. Tolos

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gedela, S., Bisht, R.K. & Pant, N. Stellar modelling of PSR J1614-2230 using the Karmarkar condition. Eur. Phys. J. A 54, 207 (2018). https://doi.org/10.1140/epja/i2018-12637-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2018-12637-8

Search

Navigation