Skip to main content
SpringerLink
Log in

A class of exact strange quark star model

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

Static spherically symmetric space-time is studied to describe dense compact star with quark matter within the framework of MIT Bag Model. The system of Einstein’s field equations for anisotropic matter is expressed as a new system of differential equations using transformations and it is solved for a particular general form of gravitational potential with parameters. For a particular parameter, as an example, it is shown that the model satisfies all major physical features expected in a realistic star. The generated model also smoothly matches with the Schwarzschild exterior metric at the boundary of the star. It is shown that the generated solutions are useful to model strange quark stars.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5

Similar content being viewed by others

References

  1. P B Demorest, T Pennucci, S M Ransom, M S E Roberts and J W T Hessels, Nature 467, 1081 (2011)

    Article  ADS  Google Scholar 

  2. P C C Freire, C G Bassa, N Wex, I H Stairs, D J Champion, S M Ransom, P Lazarus, V M Kaspi, J W T Hessels, M Kramer, J M Cordes, J P W Verbiest, P Podsiadlowski, D J Nice, J S Deneva, D R Lorimer, B W Stappers, M A McLaughlin and F Camilo, Mon. Not. R. Astron. Soc. 412, 2763 (2011)

    Article  ADS  Google Scholar 

  3. J A Pons, F M Walter, J M Lattimer, M Prakash, R Neuhäuser and P An, Astrophys. J. 564, 981 (2002)

    Article  ADS  Google Scholar 

  4. X-D Li, I Bombaci, M Dey, J Dey and E P J van den Heuvel, Phys. Rev . Lett. 83, 3776 (1999)

    Article  ADS  Google Scholar 

  5. R X Xu, G J Qiao and B Zhang, Astrophys. J. 522, L109 (1999)

    Article  ADS  Google Scholar 

  6. M Dey, I Bombaci, J Dey, S Ray and B C Samanta, Phys. Lett. B 438, 123 (1998)

    Article  ADS  Google Scholar 

  7. R Xu, Mod. Phys. Lett. A 23, 1629 (2008)

    Article  ADS  Google Scholar 

  8. E Written, Phys. Rev . D 30, 272 (1984)

    Article  ADS  Google Scholar 

  9. P Hansel, J L Zdunik and R Schaeffer, Astron. Astrophys. 160, 121 (1986)

    ADS  Google Scholar 

  10. C Alcock, E Farhi and A Olinto, Astrophys. J. 310, 261 (1986)

    Article  ADS  Google Scholar 

  11. Ch Kettner, F Weber, M K Weigel and N K Glendenning, Phys. Rev . D 51, 1440 (1995)

  12. H Müller, Nucl. Phys. A 618, 349 (1997)

    Article  ADS  Google Scholar 

  13. G F Burgio, M Baldo, P K Sahu and H-J Schulze, Phys. Rev . C 66, 025802 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  15. M Di Toro, A Drago, T Gaitanos, V Greco and A Lavagno, Nucl. Phys. A 775, 102 (2006)

    Article  ADS  Google Scholar 

  16. O E Nicotra, M Baldo, G F Burgio and H-J Schulze, Phys. Rev . D 74, 123001 (2006)

    Article  ADS  Google Scholar 

  17. A Chodos, R L Jaff, K Johnson, C B Thorn and V F Weiskopf, Phys. Rev . D 9, 3471 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  18. H Sotani, K Kohri and T Harada, Phys. Rev . D 69, 084008 (2004)

    Article  ADS  Google Scholar 

  19. D Gondek-Rosinska, T Bulik, L Zdunik, E Gourgoulhon, S Ray, J Dey and M Dey, Astron. Astrophys. 363, 1005 (2000)

    ADS  Google Scholar 

  20. V Varela, F Rahaman, S Ray, K Chakraborty and M Kalam, Phys. Rev . D 82, 044052 (2010)

    Article  ADS  Google Scholar 

  21. T Feroze and A A Siddiqui, Gen. Relativ . Grav it. 43, 1025 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. S D Maharaj and P Mafa Takisa, Gen. Relativ . Grav it. 44, 1419 (2012)

  23. M Ruderman, Annu. Rev . Astron. Astrophys. 10, 27 (1972)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. R Chan, L Herrera and N O Santos, Mon. Not. R. Astron. Soc. 265, 533 (1993)

    ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  27. A I Sokolov, JETP 79, 1137 (1980)

    Google Scholar 

  28. L Herrera and L Nez, Astrophys. J. 339, 339 (1989)

    Article  ADS  Google Scholar 

  29. R Kippenhahn and A Weigert, Stellar structure and ev olution (Springer, Berlin, 1990)

    Book  Google Scholar 

  30. F Weber, Pulsars as astrophysical observ atories for nuclear and particle physics (Institute of Physics, Bristol, 1999)

  31. A Pérez Martínez, H Pérez Rojas and H J Mosquera Cuesta, Eur. Phys. J. C 29, 111 (2003)

  32. V V Usov, Phys. Rev . D 70, 067301 (2004)

  33. B V Ivanov, Int. J. Theor. Phys. 49, 1236 (2010)

    Google Scholar 

  34. L Herrera and N O Santos, Astrophys. J. 438, 308 (1995)

    Google Scholar 

  35. R Tikekar and V O Thomas, Pramana – J. Phys. 52, 237 (1999)

    Google Scholar 

  36. L K Patel and N P Mehta, Aust. J. Phys. 48, 635 (1995)

  37. F S N Lobo, Class. Quantum Grav . 23, 1525 (2006)

  38. R Sharma and S D Maharaj, Mon. Not. R. Astron. Soc. 375, 1265 (2007)

    Article  ADS  Google Scholar 

  39. S Thirukkanesh and S D Maharaj, Class. Quantum Grav . 25, 235001 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  40. S D Maharaj and S Thirukkanesh, Pramana – J. Phys. 72, 481 (2009)

    Article  ADS  Google Scholar 

  41. M Esculpi and E Alomá, Eur. Phys. J. C 67, 521 (2010)

    Article  ADS  Google Scholar 

  42. S Thirukkanesh and F C Ragel, Pramana – J. Phys. 78, 687 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  44. L M Lin, K S Cheng, M C Chu and W M Suen, Astrophys. J. 639, 382 (2006)

    Article  ADS  Google Scholar 

  45. J L Zdunik, M Bejger, P Haensel and E Gourgoulhon, Astron. Astrophys. 450, 747 (2006)

    Article  ADS  Google Scholar 

  46. M S R Delgaty and K Lake, Comput. Phys. Commun. 115, 395 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  47. S Maurya and Y Gupta, Astrophys. Space Sci. 333, 149 (2011)

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  49. R Tikekar and K Jotania, Pramana – J. Phys. 68, 397 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka

    S THIRUKKANESH

  2. Department of Physics, Eastern University, Chenkalady, Sri Lanka

    F C RAGEL

Authors
  1. S THIRUKKANESH
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F C RAGEL
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S THIRUKKANESH.

Rights and permissions

Reprints and permissions

About this article

Cite this article

THIRUKKANESH, S., RAGEL, F.C. A class of exact strange quark star model. Pramana - J Phys 81, 275–286 (2013). https://doi.org/10.1007/s12043-013-0582-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-013-0582-8

Keywords

PACS Nos

Search

Navigation