Interacting dark sector and the coincidence problem within the scope of LRS Bianchi type I model

Original Article
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Abstract

It is shown that a suitable interaction between dark energy and dark matter in locally rotationally symmetric (LRS) Bianchi-I space-time can solve the coincidence problem and not contradict the accelerated expansion of present Universe. The interaction parameters are estimated from observational data.

Keywords

Bianchi type I model Dark energy Anisotropic dark energy 

References

  1. Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 594, A11 (2016a) CrossRefGoogle Scholar
  2. Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 594, A13 (2016b) CrossRefGoogle Scholar
  3. Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 594, A16 (2016c) CrossRefGoogle Scholar
  4. Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 594, A20 (2016d) CrossRefGoogle Scholar
  5. Akarsu, O., Kilinc, C.B.: Gen. Relativ. Gravit. 42, 119 (2010) ADSCrossRefGoogle Scholar
  6. Amendola, L.: Phys. Rev. D 62, 043511 (2000) ADSCrossRefGoogle Scholar
  7. Amendola, L., Camargo Campos, G., Rosenfeld, R.: Phys. Rev. D 75, 083506 (2007) ADSCrossRefGoogle Scholar
  8. Bali, R., Banerjee, R., Banerjee, S.K.: Astrophys. Space Sci. 317, 21 (2008) ADSCrossRefGoogle Scholar
  9. Bennett, C.L., et al.: Astrophys. J. 464, L1–L4 (1996) ADSCrossRefGoogle Scholar
  10. Binder, J.B., Kremer, G.M.: Gen. Relativ. Gravit. 38, 857 (2006) ADSCrossRefGoogle Scholar
  11. Boehmer, C.G., Caldera-Cabral, G., Lazkoz, R., Maartens, R.: Phys. Rev. D 78, 023505 (2008) ADSCrossRefGoogle Scholar
  12. Cai, R.G., Wang, A.: J. Cosmol. Astropart. Phys. 0503, 002 (2005) ADSCrossRefGoogle Scholar
  13. Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003) ADSCrossRefGoogle Scholar
  14. Chimento, L.P.: Phys. Rev. D 81, 043525 (2010) ADSCrossRefGoogle Scholar
  15. Chimento, L.P., Jakubi, A.S., Pavon, D.: Phys. Rev. D 62, 063508 (2000) ADSCrossRefGoogle Scholar
  16. Chimento, L.P., Jakubi, A.S., Pavon, D., Zimdahl, W.: Phys. Rev. D 67, 083513 (2003) ADSCrossRefGoogle Scholar
  17. Chimento, L.P., Forte, M., Kremer, G.M.: Gen. Relativ. Gravit. 41, 1125 (2009) ADSCrossRefGoogle Scholar
  18. Collins, C.B.: Phys. Lett. A 60, 397 (1977) ADSMathSciNetCrossRefGoogle Scholar
  19. Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980) ADSCrossRefGoogle Scholar
  20. Ellis, G.F.R.: Gen. Relativ. Gravit. 38(6), 1003–1015 (2006) ADSCrossRefGoogle Scholar
  21. Farrar, G.R., Peebles, P.J.E.: Astrophys. J. 604, 1 (2004) ADSCrossRefGoogle Scholar
  22. Frampton, P.H., Takahashi, T.: Phys. Lett. B 557, 135 (2003) ADSCrossRefGoogle Scholar
  23. Guo, Z.K., Ohta, N., Tsujikawa, S.: Phys. Rev. D 76, 023508 (2007) ADSCrossRefGoogle Scholar
  24. Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. 148, 135 (2003) ADSCrossRefGoogle Scholar
  25. Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. 170, 288 (2007) ADSCrossRefGoogle Scholar
  26. Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. 180, 225–245 (2009) ADSCrossRefGoogle Scholar
  27. Huey, G., Wandelt, B.D.: Phys. Rev. D 74, 023519 (2006) ADSCrossRefGoogle Scholar
  28. Koivisto, T., Mota, D.F.: (2008a). arXiv:0801.3676v2 [astro-ph]
  29. Koivisto, T., Mota, D.F.: Astrophys. J. 679, 1 (2008b) ADSCrossRefGoogle Scholar
  30. Kremer, G.M.: Gen. Relativ. Gravit. 39, 965 (2007) ADSCrossRefGoogle Scholar
  31. Mangano, G., Miele, G., Pettorino, V.: Mod. Phys. Lett. A 18, 831 (2003) ADSCrossRefGoogle Scholar
  32. Melchiorri, A., Mersimi, L., Odman, C.J., Trodden, M.: Phys. Rev. D 68, 043509 (2003) ADSCrossRefGoogle Scholar
  33. Muharlyamov, R.K., Pankratyeva, T.N.: Astrophys. Space Sci. 363, 32 (2018) ADSCrossRefGoogle Scholar
  34. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 72, 023003 (2005) ADSCrossRefGoogle Scholar
  35. Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005) ADSCrossRefGoogle Scholar
  36. Nolta, M.R., et al.: Astrophys. J. Suppl. Ser. 180, 296–305 (2009) ADSCrossRefGoogle Scholar
  37. Rodrigues, D.C.: Phys. Rev. D 77, 023534 (2008) ADSCrossRefGoogle Scholar
  38. Roy, S.R., Banerjee, S.K.: Class. Quantum Gravity 11, 1943 (1995) ADSCrossRefGoogle Scholar
  39. Roy, S.R., Singh, J.P., Narin, S.: Aust. J. Phys. 38, 239 (1985) ADSCrossRefGoogle Scholar
  40. Saha, B., Yadav, A.K.: Astrophys. Space Sci. 337, 759 (2012) ADSCrossRefGoogle Scholar
  41. Sharif, M., Zubair, M.: Astrophys. Space Sci. 330, 399 (2010) ADSCrossRefGoogle Scholar
  42. Smoot, G.F., et al.: Astrophys. J. 396, L1 (1992) ADSCrossRefGoogle Scholar
  43. Steinhardt, P.J.: Critical problems in physics. In: Fitch, V.L., Marlow, D.R., Dementi, M.A.E. (eds.) Princeton Series in Physics. Princeton University Press, Princeton (1997) Google Scholar
  44. Tocchini-Valentini, D., Amendola, L.: Phys. Rev. D 65, 063508 (2002) ADSCrossRefGoogle Scholar
  45. Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989) ADSCrossRefGoogle Scholar
  46. Yadav, A.K.: Astrophys. Space Sci. 335, 565 (2011) ADSCrossRefGoogle Scholar
  47. Yadav, A.K., Yadav, L.: Int. J. Theor. Phys. 50, 218 (2011) CrossRefGoogle Scholar
  48. Yadav, A.K., Rahaman, F., Ray, S.: Int. J. Theor. Phys. 50, 871 (2011) CrossRefGoogle Scholar
  49. Zimdahl, W., Pavon, D.: Gen. Relativ. Gravit. 35, 413 (2003) ADSCrossRefGoogle Scholar
  50. Zimdahl, W., Pavon, D., Chimento, L.P.: Phys. Lett. B 521, 133 (2001) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Ruslan K. Muharlyamov
    • 1
    • 2
  • Tatiana N. Pankratyeva
    • 2
    • 3
  1. 1.Department of General Relativity and Gravitation, Institute of PhysicsKazan Federal UniversityKazanRussia
  2. 2.Kazan National Research Technical UniversityKazanRussia
  3. 3.Department of Higher MathematicsKazan State Power Engineering UniversityKazanRussia

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