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Observational constraints on modified Chaplygin gas in Horava–Lifshitz gravity with dark radiation

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Abstract

Cosmological models with modified Chaplygin gas (MCG) in the framework of Horava–Lifshitz (HL) theory of gravity, both with and without detailed balance, are obtained. The equation of state (EOS) for a MCG contains three unknown parameters namely, A, α, B. The allowed values of some of these parameters of the EOS are determined using the recent astrophysical and cosmological observational data. Using observational data from H(z)-z, baryon acoustic oscillation (BAO) peak parameter and cosmic microwave background (CMB) shift parameter we study cosmologies in detailed-balance and beyond detailed-balance scenario. In this paper we take up the beyond detailed-balance scenario in totality and contribution of dark radiation in detailed-balance scenario on the parameters of the EOS. We explore the effect of dark radiation on the whole range of the effective neutrino parameter (ΔN ν ) to constrain matter contributing parameter B in both the detailed-balance and the beyond detailed-balance scenarios. It has been observed that greater the dark radiation less the matter contribution in the MCG in both the scenario considered here. In order to check the validity of beyond detailed-balance scenario we plot supernovae magnitudes (μ) with red-shift of Union2 data and then the variation of state parameter with redshift is studied. It is noted that beyond detailed-balance scenario is suitable for cosmological model in HL gravity with MCG.

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References

  1. R H Dicke, P J E Peebles, P J Roll and D T Wilkinson, Astrophys. J. Lett. 142, 414 (1965)

    Article  ADS  Google Scholar 

  2. A A Penzias and R W Wilson, Astrophys. J. Lett. 142, 419 (1965)

    Article  ADS  Google Scholar 

  3. A Albrecht and P Steinhardt, Phys. Rev . Lett. 48, 1220 (1982)

    Article  ADS  Google Scholar 

  4. A H Guth, Phys. Rev . D 23, 347 (1981)

    Article  ADS  Google Scholar 

  5. A Linde, Phys. Lett. D 108, 389 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  6. K Sato, Mon. Not. R. Astron. Soc. 195, 467 (1981)

    ADS  Google Scholar 

  7. A G Riess et al, Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  8. M Bojowald, Phys. Rev . Lett. 86, 5227 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  9. P Horava, J. High Energy Phys. 0903, 020 (2009), arXiv:0812.4287

    Article  MathSciNet  ADS  Google Scholar 

  10. G Calcagni, J. High Energy Phys. 0909, 112 (2009), arXiv:0904.0829

    Article  MathSciNet  ADS  Google Scholar 

  11. E Kiritsis and G Kofinas, Nucl. Phys. B 821, 467 (2009), arXiv:0904.1334 [hep-th]

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. H Lu, J Mei and C N Pope, Phys. Rev . Lett. 103, 091301 (2009), arXiv:0904.1595

    Article  MathSciNet  ADS  Google Scholar 

  13. T Sotiriou, M Visser and S Weinfurtner, Phys. Rev . Lett. 102, 251601 (2009), arXiv:0904.4464; J. High Energy Phys. 0910, 033 (2009), arXiv:0905.2798

  14. S Mukohyama, K Nakayama, F Takahashi and S Yokoyama, Phys. Lett. B 679, 6 (2009), arXiv:0905.0055 [hep-th]

    Article  ADS  Google Scholar 

  15. Y S Myung, Phys. Lett. B 684, 1 (2010), arXiv:0911.0724 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  16. M I Park, preprint: arXiv:0910.1917 [hep-th] (2009)

  17. Y F Cai and X Zhang, Phys. Rev . D 80, 043520 (2009), arXiv:0906.3341 [astro-ph.CO]

    Article  MathSciNet  ADS  Google Scholar 

  18. X Gao, Y Wang, R Brandenberger and A Riotto, Phys. Rev . D 81, 083508 (2010), arXiv:0905.3821 [hep-th]

    Article  ADS  Google Scholar 

  19. A Wang and R Maartens, Phys. Rev . D 81, 024009 (2010), arXiv:0907.1748 [hep-th]

    Article  ADS  Google Scholar 

  20. R G Cai, L M Cao and N Ohta, Phys. Rev . D 80, 024003 (2009), arXiv:0904.3670 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  21. U H Danielsson and L Thorlacius, J. High Energy Phys. 0903, 070 (2009), arXiv:0812.5088 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  22. A Kehagias and K Sfetsos, Phys. Lett. B 678, 123 (2009), arXiv:0905.0477 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  23. M Chaichian, S Nojiri, S D Odintsov, M Oksanen and A Tureanu, Class. Quant. Grav . 27, 185021 (2010), arXiv:1001.4102 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  24. M I Park, J. Cosmol. Astropart. Phys. 1001, 001 (2010), arXiv:0906.4275 [hep-th]

    Article  ADS  Google Scholar 

  25. S Dutta and E N Saridakis, J. Cosmol. Astropart. Phys. 1001, 013 (2010), arXiv:0911.1435 [hep-th]

    ADS  Google Scholar 

  26. T Harko, T Kovacs and F S Lobo, Proc. R. Soc. London A Math. Phys. Eng. Sci. 467, 1390 (2011), arXiv:0908.2874 [gr-qc]

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. L Iorio and M L Ruggiero, preprint: arXiv:0909.2562 [gr-qc] (2009)

  28. S S Kim, T Kim and Y Kim, Phys. Rev . D 80, 124002 (2009), arXiv:0907.3093 [hep-th]

    Article  ADS  Google Scholar 

  29. R G Cai, L M Cao and N Ohta, arXiv:0905.0751 [hep-th] (2009)

  30. A Wang and Y Wu, J. Cosmol. Astropart. Phys. 0907, 012 (2009), arXiv:0905.4117 [hep-th]

    Article  ADS  Google Scholar 

  31. A Ali, S Dutta, E N Saridakis and A Sen, preprint: arXiv:1004.2474 [astro-ph.CO] (2010)

  32. A Y Kamenshchik, U Moschella and V Pasquier, Phys. Lett. B 511, 265 (2001), preprint: gr-qc/0103004

    Article  ADS  MATH  Google Scholar 

  33. D J Liu and X Z Li, preprint: arXiv:0501115 [astro-ph] (2005)

  34. P Thakur, S Ghose and B C Paul, Mon. Not. R. Astron. Soc. 397, 1935 (2009)

    Article  ADS  Google Scholar 

  35. U Debnath, A Banerjee and S Chakraborty, preprint: arXiv:0411015 [gr-qc] (2004)

  36. P Horava, Phys. Rev . D 79, 084008 (2009), arXiv:0901.3775 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  37. S Carloni, E Elizalde and P T Silva, preprint: arXiv:0909.2219 [hep-th] (2009)

  38. C Bogdanos and E N Sarikdakis, Class. Quant. Grav. 27, 075005 (2010)

    Article  Google Scholar 

  39. C Charmousis, G Niz, A Padilla and P M Saffin, J. High Energy Phys. 0908, 070 (2009), preprint: arXiv:0905.2579 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  40. G Leon and E N Saridakis, J. Cosmol. Astropart. Phys. 0911, 006 (2009), preprint: arXiv:0909.3571 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  41. M C Bento, O Bertolami and A A Sen, Phys. Rev . D 66, 043507 (2002)

    Article  ADS  Google Scholar 

  42. N Billic, G B Tupper and R D Viollic, Phys. Lett. B 535, 17 (2001)

    Article  ADS  Google Scholar 

  43. S Chaplygin, Sci. Mem. Moscow Univ . Math. Phys. 21, 1 (1904)

    Google Scholar 

  44. D Bazeia, Phys. Rev . D 59, 085007 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  45. R Jackiw and A P Polychronakos, Commun. Math. Phys. 207, 107 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. M Bordemann and J Hoppe, Phys. Lett. B B 317, 315 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  47. A Dev and J S Alcaniz, A & A 417, 847 (2004)

    Article  ADS  Google Scholar 

  48. P T Silva and O Bertolami, Ap. J. 599, 829 (2003)

    Article  ADS  Google Scholar 

  49. O Bertolami and P T Silva, Mon. Not. R. Astron. Soc. 365, 1149 (2006)

    Article  ADS  Google Scholar 

  50. L Jianbo, X Lixin, L Jiechao, C Baorong, G Yuanxing and L Hongya, preprint: arXiv: 1004.3361v1 [astro.ph.co] (2010)

  51. Particle Data Group: K Hagiwara et al, Phys. Rev . D 66, 010001 (2002)

    Article  Google Scholar 

  52. K A Olive, G Steigman and T P Walker, Phys. Rep. 333, 389 (2000), arXiv:9905320 [astro-ph]

    Article  ADS  Google Scholar 

  53. G Steigman, Int. J. Mod. Phys. E 15, 1 (2006), preprint: arXiv:0511534 [astro-ph]

    Article  ADS  Google Scholar 

  54. C Clarkson, M Cortes and B A Bassett, J. Cosmol. Astropart. Phys. 0708, 011 (2007), preprint: arXiv:astro-ph/0702670

    Article  ADS  Google Scholar 

  55. J M Virey, D Talon-Esmieu, A Ealet, P Taxil and A Tilquin, J. Cosmol. Astropart. Phys. 0812, 008 (2008), preprint: arXiv:0802.4407 [astro-ph]

    Article  ADS  Google Scholar 

  56. E Komatsu et al, preprint: arXiv:1001.4538 [astro-ph.CO] (2010)

  57. R A Malaney and G J Mathews, Phys. Rep. 209, 145 (1993)

    Article  ADS  Google Scholar 

  58. M Joyce, Phys. Rev . D 55, 1875 (1997), preprint: arXiv:hep-ph/9606223

    Article  ADS  Google Scholar 

  59. M Joyce and T Prokopec, Phys. Rev . D 57, 6022 (1998), preprint: arXiv:hep-ph/9709320

    Article  ADS  Google Scholar 

  60. D Stern et al, J. Cosmol. Astropart. Phys. 1002, 008 (2010)

    ADS  Google Scholar 

  61. D J Eisenstein et al, Astrophys. J. 633, 560 (2005)

    Article  ADS  Google Scholar 

  62. B C Paul, P Thakur and A Saha, Phys. Rev . D 85, 024039 (2012)

    Article  ADS  Google Scholar 

  63. Wang Shuang, Li Xiango-Dong and Li Miao, Phys. Rev . D 83, 023010 (2011)

    Article  Google Scholar 

  64. J C Fabris, H E S Velten, C Ogouyandjou and J Tossa, preprint: arXiv:1007.1011v1 [astro-ph.CO] (2010)

Download references

Acknowledgement

The authors would like to thank IUCAA Reference Centre at North Bengal University for extending necessary research facilities to initiate the work. BCP and MMV would like to thank Inter-University Centre for Astronomy & Astrphysics (IUCAA), Pune for the hospitality to complete the work.

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Authors and Affiliations

  1. Physics Department, North Bengal University, Darjeeling, 734 013, India

    B C PAUL

  2. Physics Department, Alipurduar College, Jalpaiguri, 736 122, India

    P THAKUR

  3. Physics Department, Lucknow University, Lucknow, 226 007, India

    M M VERMA

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  1. B C PAUL
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Correspondence to B C PAUL.

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PAUL, B.C., THAKUR, P. & VERMA, M.M. Observational constraints on modified Chaplygin gas in Horava–Lifshitz gravity with dark radiation. Pramana - J Phys 81, 691–718 (2013). https://doi.org/10.1007/s12043-013-0593-5

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