Skip to main content
Log in

Relativistic Models for Strange Stars in Massive Brans–Dicke Gravity

  • Published:
Astronomy Reports Aims and scope Submit manuscript

Abstract

In this paper, we examine the salient features of anisotropic quark stellar model in the background of massive Brans–Dicke gravity. We use the MIT bag model along with Karmarkar condition to develop a model corresponding to Vaidya–Tikekar metric. The unknowns and the bag constant are computed through the matching conditions at the hypersurface. The solution is completely specified by employing the observed masses and radii of the strange star candidates. Further, we investigate the viability as well as stability of the spherical model. It is concluded that the predicted values of the bag constant corresponding to the viable and stable structure lie within the accepted range for the obtained solution in the context of massive Brans–Dicke theory.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. E. Witten, Phys. Rev. D 30, 272 (1984).

    ADS  Google Scholar 

  2. E. O. Ofek, P. B. Cameron, M. M. Kasliwal, A. Gal-Yam, A. Rau, S. R. Kulkarni, D. A. Frail, P. Chandra, S. B. Cenko, A. M. Soderberg, et al., Astrophys. J. Lett. 659, L13 (2007); astro-ph/0612408.

    Article  ADS  Google Scholar 

  3. G. H. Bordbar and A. R. Peivand, Res. Astron. Astrophys. 11, 851 (2011); arXiv: 1103.1250.

    Article  ADS  Google Scholar 

  4. B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, V. B. Adya, et al., Phys. Rev. Lett. 119, 161101 (2017); arXiv: 1710.05832.

  5. B. P. Abbott, R. Abbott, T. D. Abbott, S. Abraham, F. Acernese, K. Ackley, C. Adams, R. X. Adhikari, V. B. Adya, C. Affeldt, et al., Astrophys. J. Lett. 892, L3 (2020); arXiv: 2001.01761.

  6. M. K. Mak and T. Harko, Chin. J. Astron. Astrophys. 2, 248 (2002).

    Article  ADS  Google Scholar 

  7. P. Bhar, Astrophys. Space Sci. 357, 46 (2015).

    Article  ADS  Google Scholar 

  8. S. K. Maurya, M. K. Jasim, Y. K. Gupta, and T. T. Smitha, Astrophys. Space Sci. 361, 163 (2016); arXiv: 1512.09350.

  9. M. H. Murad, Astrophys. Space Sci. 361, 20 (2016).

    Article  ADS  MathSciNet  Google Scholar 

  10. D. Deb, M. Khlopov, F. Rahaman, S. Ray, and B. K. Guha, Eur. Phys. J. C 78, 465 (2018); arXiv: 1802.01332.

  11. P. Bhar, Eur. Phys. J. C 79, 138 (2019).

    Article  ADS  Google Scholar 

  12. C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).

    Article  ADS  MathSciNet  Google Scholar 

  13. L. Perivolaropoulos, Phys. Rev. D 81, 047501 (2010); arXiv: 0911.3401.

    Article  ADS  Google Scholar 

  14. H. Sotani, Phys. Rev. D 86, 124036 (2012); arXiv: 1211.6986.

    Article  ADS  Google Scholar 

  15. H. O. Silva, C. F. B. Macedo, E. Berti, and L. C. B. Crispino, Class. Quantum Grav. 32, 145008 (2015); arXiv: 1411.6286.

  16. D. D. Doneva and S. S. Yazadjiev, J. Cosmol. Astropart. Phys. 2016, 019 (2016); arXiv: 1607.03299.

  17. K. V. Staykov, D. Popchev, D. D. Doneva, and S. S. Yazadjiev, Eur.Phys. J. C 78, 586 (2018); arXiv: 1805.07818.

  18. M. Sharif and A. Majid, Eur. Phys. J. Plus 135, 558 (2020); arXiv: 2007.06457.

  19. A. Majid and M. Sharif, Universe 6, 124 (2020).

    Article  ADS  Google Scholar 

  20. E. Farhi and R. L. Jaffe, Phys. Rev. D 30, 2379 (1984).

    Article  ADS  Google Scholar 

  21. S. S. Yazadjiev, D. D. Doneva, and D. Popchev, Phys. Rev. D 93, 084038 (2016); arXiv: 1602.04766.

  22. R. Tikekar and K. Jotania, Int. J. Mod. Phys. D 14, 1037 (2005).

    Article  ADS  Google Scholar 

  23. K. B. Goswami, A. Saha, and P. K. Chattopadhyay, Astrophys. Space Sci. 365, 141 (2020).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to M. Sharif or A. Majid.

Additional information

Paper presented at the Fourth Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Minsk, Belarus, on September 7–11, 2020. Published by the recommendation of the special editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharif, M., Majid, A. Relativistic Models for Strange Stars in Massive Brans–Dicke Gravity. Astron. Rep. 65, 1048–1053 (2021). https://doi.org/10.1134/S1063772921100358

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063772921100358

Navigation