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A class of exact strange quark star model

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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.

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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 

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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

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  1. S THIRUKKANESH
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  2. F C RAGEL
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Correspondence to S THIRUKKANESH.

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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

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

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