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Quark and strange quark matter solutions for higher dimensional FRW universe in Lyra geometry

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Abstract

In this study, we have investigated the higher dimensional flat Friedmann-Robertson-Walker (FRW) universe for a cloud of string with perfect fluid attached quark and strange quark matter (SQM) in Lyra geometry. Generalized (n + 2) dimensional flat FRW universe solutions have been achieved with the aid of equation of states (EOS) and deceleration parameter (q). From the field equations, we have obtained that the cloud of string with perfect fluid does not survive. Since the string tension density vanishes (λ = 0) for this model, as a result, the cloud of string with perfect-fluid-attached quark and strange quark matter energy-momentum tensor is automatically transformed into a perfect-fluid-attached quark and strange quark matter energy-momentum tensor. Also, our solutions agree with Halford’s study. β 2 behaves like a cosmological constant. When t → ∞ the pressure of quark matter and the density go to zero, then, the quark matter transforms into another matter with time. Also our quark matter solutions are in agreement with the present idea.

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References

  1. S. Ram, P. Singh, Astrophys. Space Sci. 200, 35 (1993).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. G. Efstathiou et al., Mon. Not. R. Astron. Soc. 330, 29 (2002).

    Article  ADS  Google Scholar 

  3. M. Tegmark et al., Phys. Rev. D 69, 103501 (2004).

    Article  ADS  Google Scholar 

  4. M. Sharif, H.R. Kausar, J. Phys. Soc. Jpn. 80, 044004 (2011).

    Article  ADS  Google Scholar 

  5. C. Aktas, S. Aygün, İ. Yilmaz, Phys. Lett. B 707, 237 (2012).

    Article  ADS  Google Scholar 

  6. B.M. Barker, Astrophys. J. 219, 5 (1978).

    Article  ADS  Google Scholar 

  7. J.D. Bekenstein, Phys. Rev. D 70, 083509 (2004).

    Article  ADS  Google Scholar 

  8. H. Weyl, Sitzungsber. K. Preuss. Akad. Wiss. Berlin 1918, 465 (1918).

    MATH  Google Scholar 

  9. H.A. Buchdahl, Mon. Not. R. Astron. Soc. 150, 1 (1970).

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. G. Lyra, Math. Z. 54, 52 (1951).

    Article  MATH  MathSciNet  Google Scholar 

  12. M. Jerzy, R. Marek, Astrophys. Space Sci. 192, 299 (1992).

    Article  MathSciNet  Google Scholar 

  13. K.L. Mahanta, A.K. Biswal, J. Mod. Phys. 3, 1479 (2012).

    Article  Google Scholar 

  14. F. Rahaman, Fizika B 11, 223 (2003).

    ADS  MathSciNet  Google Scholar 

  15. D.K. Sen, Z. Phys. 149, 311 (1957).

    Article  ADS  MATH  Google Scholar 

  16. D.K. Sen, K.A. Dunn, J. Math. Phys. 12, 578 (1971).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. W.D. Halford, Aust. J. Phys. 23, 863 (1970).

    Article  ADS  Google Scholar 

  18. S. Agarwal, R.K. Pandey, A. Pradhan, Ind. J. Phys. 86, 61 (2012).

    Article  Google Scholar 

  19. S. Aygün, C. Aktaş, I. Yilmaz, J. Geom. Phys. 62, 100 (2012).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  20. J.K. Singh, Astrophys. Space Sci. 317, 39 (2008).

    Article  ADS  Google Scholar 

  21. D.R.K. Reddy, M.V.S. Rao, Astrophys. Space Sci. 317, 39 (2008).

    Article  ADS  Google Scholar 

  22. G. Mohanty, R.R. Sahoo, Astrophys. Space Sci. 315, 167 (2008).

    Article  ADS  Google Scholar 

  23. J.K. Singh, Int. J. Theor. Phys. 48, 905 (2009).

    Article  ADS  MATH  Google Scholar 

  24. A. Pradhan, R. Zia, H. Amirhashchi, Bulg. J. Phys. 39, 248 (2012).

    MathSciNet  Google Scholar 

  25. A. Pradhan, A.K. Singh, Int. J. Theor. Phys. 50, 916 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  26. S. Agarwal, R.K. Pandey, A. Pradhan, Int. J. Theor. Phys. 50, 296 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  27. A. Pradhan, H. Amirhashchi, H. Zainuddin, Int. J. Theor. Phys. 50, 56 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  28. B. Veto, arXiv:1302.4529.

  29. N.I. Singh, S.R. Devi, S.S Singh, A.S. Devi, Astrophys. Space Sci. 302, 157 (2006).

    Article  Google Scholar 

  30. I. Yavuz, I. Yilmaz, H. Baysal, Int. J. Mod. Phys. D 14, 1365 (2005).

    Article  ADS  MATH  Google Scholar 

  31. A.R. Bodmer, Phys. Rev. D 6, 1601 (1971).

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  33. I. Yilmaz, Gen. Relativ. Gravit. 38, 1397 (2006).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  34. I. Yilmaz, C. Aktaş., Chin. J. Astron. Astrophys. 7, 757 (2007).

    Article  ADS  Google Scholar 

  35. V.U.M. Rao, K.V.S. Sireesha, Int. J. Theor. Phys. 52, 1052 (2013).

    Article  MATH  MathSciNet  Google Scholar 

  36. S.D. Katore, Int. J. Theor. Phys. 51, 83 (2012).

    Article  MATH  Google Scholar 

  37. A. Chodos, S. Detweller, Phys. Rev. D 21, 2167 (1980).

    Article  ADS  Google Scholar 

  38. R. Venkateswarlu, K.P. Kumar, Astrophys. Space Sci. 298, 403 (2005).

    Article  ADS  Google Scholar 

  39. A. Pradhan, G.S. Khadekar, M.K. Mishra, S. Kumbhare, Chin. Phys. Lett. 24, 3013 (2007).

    Article  Google Scholar 

  40. F. Rahaman, S. Mandal, arXiv:gr-qc/0608082.

  41. G.S. Khadekar, R. Wanjari, C. Ozel, Int. J. Theor. Phys. 48, 2550 (2009).

    Article  MATH  Google Scholar 

  42. C.P. Singh, A. Beesham, Int. J. Theor. Phys. 51, 3951 (2012).

    Article  MATH  MathSciNet  Google Scholar 

  43. S. Agarwal, R.K. Pandey, A. Pradhan, Ind. J. Phys. 86, 61 (2012).

    Article  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  46. P.M. Garnavich, Astrophys. J. 509, 74 (1998).

    Article  ADS  Google Scholar 

  47. S. Perlmutter et al., Astrophys. J. 483, 565 (1997).

    Article  ADS  Google Scholar 

  48. B.P. Schmidt, Astrophys J. 507, 46 (1998).

    Article  ADS  Google Scholar 

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Correspondence to Sezgin Aygün.

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Aygün, S., C̣ag̃lar, H., Taṣer, D. et al. Quark and strange quark matter solutions for higher dimensional FRW universe in Lyra geometry. Eur. Phys. J. Plus 130, 12 (2015). https://doi.org/10.1140/epjp/i2015-15012-x

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  • DOI: https://doi.org/10.1140/epjp/i2015-15012-x

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