, 91:27 | Cite as

Strange quark star with Tolman IV background

  • Sumita Banerjee


In the present article, we have studied the behaviour of static, spherically symmetric, anisotropic stellar models within the framework of MIT Bag model in the Tolman IV background. Different physical properties like energy conditions, stability, compactness factor and surface red-shift are investigated through graphical plots and mathematical calculations. The interior solutions found are non-singular in nature, i.e., regular at the centre. The interior spherically symmetric solutions have been matched to an exterior Schwarzschild geometry.


Tolman IV potential MIT Bag constant quark stars 


04.04.Nr 04.20.Jb 04.20.Dw 



The author acknowledges Dr Farook Rahaman and Dr Ayan Banerjee for helpful and valuable discussion. The author is also thankful to the anonymous referee for the valuable comments which improved the manuscript. She is also thankful to the authorities of Inter University Centre for Astronomy and Astrophysics, Pune for giving her an opportunity to visit IUCAA where a part of this work was carried out.


  1. 1.
    M Gell-Mann, Phys. Lett. 8, 214 (1964)ADSCrossRefGoogle Scholar
  2. 2.
    G Zweig (ed.) Developments in the quark theory of hadrons (Hadronic Press, Nonantum, MA, 1980) Vol. 1, p. 22Google Scholar
  3. 3.
    N Itoh, Prog. Theor. Phys. 44, 291 (1970)ADSCrossRefGoogle Scholar
  4. 4.
    A Bodmer, Phys. Rev. D 4, 1601 (1971)ADSCrossRefGoogle Scholar
  5. 5.
    K S Cheng, Z G Dai and T Lu, Int. J. Mod. Phys. D 7, 139 (1998)ADSCrossRefGoogle Scholar
  6. 6.
    M Alford, Ann. Rev. Nucl. Part. Sci. 51, 131 (2001)ADSCrossRefGoogle Scholar
  7. 7.
    A Chodos et al, Phys. Rev. D 9, 3471 (1974)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    E Farhi and R L Jaffe, Phys. Rev. D 30, 2379 (1984)ADSCrossRefGoogle Scholar
  9. 9.
    E Witten, Phys. Rev. D 30, 272 (1984)ADSCrossRefGoogle Scholar
  10. 10.
    I Bombaci, Phys. Rev. C 55, 1587 (1997).ADSCrossRefGoogle Scholar
  11. 11.
    M Dey, I Bombaci, J Dey, S Ray and B C Samanta, Phys. Lett. B 438, 123 (1998)ADSCrossRefGoogle Scholar
  12. 12.
    X D Li, I Bombaci, M Dey, J Dey and E P J Van den Heenvel, Phys. Rev. Lett. 83, 3776 (1999)ADSCrossRefGoogle Scholar
  13. 13.
    X D Li, S Ray, J Dey, M Dey and I Bombaci, Astrophys. J. 527, L51 (1999)ADSCrossRefGoogle Scholar
  14. 14.
    M Kalam et al, Int. J. Theor. Phys52, 3319 (2013)CrossRefGoogle Scholar
  15. 15.
    K Komathiraj and S D Maharaj, arXiv:0712.1278v1
  16. 16.
    F Weber, Prog. Part. Nucl. Phys. 54, 193 (2005)ADSCrossRefGoogle Scholar
  17. 17.
    H Sotani, K Kohri and T Harada, Phys. Rev. D 69, 084008 (2004)ADSCrossRefGoogle Scholar
  18. 18.
    T Harko and K S Cheng, Phys. Lett. A 266, 249 (2000)ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    I Yilmaz and H Baysal, Int. J. Mod. Phys. D 14, 697 (2005)ADSCrossRefGoogle Scholar
  20. 20.
    M K Mak and T Harko, Chin. J. Astron. Astrophys. 2, 248 (2002)ADSCrossRefGoogle Scholar
  21. 21.
    R Sharma and S D Maharaj, Mon. Not. R. Astron. Soc. 375, 1265 (2007)ADSCrossRefGoogle Scholar
  22. 22.
    M K Mak and T Harko, Int. J. Mod. Phys. D 13, 149 (2004)ADSCrossRefGoogle Scholar
  23. 23.
    R C Tolman, Phys. Rev. 55, 364 (1939)ADSCrossRefGoogle Scholar
  24. 24.
    S Thirukkanesh and F C Ragel, Astrophys. Space Sci. 352, 743 (2014)ADSCrossRefGoogle Scholar
  25. 25.
    A Banerjee et al, Eur. Phys. J. Plus 132, 150 (2017)CrossRefGoogle Scholar
  26. 26.
    Ksh N Singh, N Pradhan and N Pant, Int. J. Theor. Phys54, 3408 (2015)CrossRefGoogle Scholar
  27. 27.
    P Bhar, Ksh N Singh and T Manna, Astrophys. Space Sci. 361, 284 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    M C Durgapal and R Bannerji, Phys. Rev. D 27, 328 (1983)ADSMathSciNetCrossRefGoogle Scholar
  29. 29.
    H Abreu, H Hernndez and L A Nez, Class. Quantum Gravity 24, 4631 (2007)ADSCrossRefGoogle Scholar
  30. 30.
    H Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999)ADSCrossRefGoogle Scholar
  31. 31.
    H Bondi, Proc. R. Soc. London A 281, 39 (1964)ADSCrossRefGoogle Scholar
  32. 32.
    L Herrera, Phys. Lett. A 165, 206 (1992)ADSCrossRefGoogle Scholar
  33. 33.
    H Andréasson, Commun. Math. Phys288, 715 (2009)ADSMathSciNetCrossRefGoogle Scholar
  34. 34.
    H A Buchdahl, Phys. Rev. 116, 1027 (1959)ADSMathSciNetCrossRefGoogle Scholar
  35. 35.
    M K Gokhroo and A L Mehra, Gen. Relativ. Grav. 26, 75 (1994)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2018

Authors and Affiliations

  1. 1.Department of MathematicsJadavpur UniversityKolkata India

Personalised recommendations