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Dark matter interacts with variable vacuum energy

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Abstract

We investigate a spatially flat Friedmann–Robertson–Walker scenario with two interacting components, dark matter and variable vacuum energy densities, plus two decoupled components, one is a baryon term while the other behaves as a radiation component. We consider a linear interaction in the derivative dark component density. We apply the \(\chi ^2\) method to the observational Hubble data for constraining the cosmological parameters and analyze the amount of dark energy in the radiation era for the model. It turns out that our model fulfills the severe bound of \(\Omega _{x}(z\simeq 1{,}100)<0.009\) at \(2\sigma \) level, so is consistent with the recent analysis that include cosmic microwave background anisotropy measurements from Planck survey, the future constraints achievable by Euclid and CMBPol experiments, reported for the behavior of the dark energy at early times, and fulfills the stringent bound \(\Omega _{x}(z\simeq 10^{10})<0.04\) at \(2\sigma \) level in the big-bang nucleosynthesis epoch. We also examine the cosmic age problem at high redshift associated with the old quasar APM 08279+5255 and estimate the age of the universe today.

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References

  1. Riess, A.G., et al.: Astrophys. J. 116, 1009 (1998)

    Google Scholar 

  2. Riess, A.G., et al.: Astrophys. J. 117, 707 (1999)

    Google Scholar 

  3. Perlmutter, S., et al.: The Supernova Cosmology Project. Astrophys. J. 517, 56586 (1999)

    Article  Google Scholar 

  4. Astier, P., et al.: Astron. Astrophys. 447, 31 (2006)

    Article  ADS  Google Scholar 

  5. Spergel, D.N., et al.: Astrophys. J. Suppl. 148, 175 (2003)

    Article  ADS  Google Scholar 

  6. Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)

    Article  ADS  Google Scholar 

  7. Adelman-McCarthy, J.K., et al.: [SDSS Collaboration], [ arXiv:0707.3413]

  8. Tegmark, M., et al.: Astrophys. J. 606, 702 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. Drees, M., Gerbier, G.: [ arXiv:1204.2373 [hep-ph]

  11. Garrett, K., Duda, G.: Adv. Astron. 968283 (2011)

  12. Chimento, L.P.: Phys. Rev. D 81, 043525 (2010)

    Article  ADS  Google Scholar 

  13. Chimento, L.P., Richarte, M.G.: (2014) [ arXiv:1402.6371v1 [astro-ph.CO]]

  14. Chen, X., Gong, Y., Saridakis, E.N.: Int. J. Theor. Phys. 53, 469–481 (2014)

    Article  Google Scholar 

  15. Chimento, L.P., Richarte, M.G.: Phys. Rev. D 85, 127301 (2012)

    Article  ADS  Google Scholar 

  16. Chimento, L.P., Richarte, M.G.: Phys. Rev. D 86, 103501 (2012)

    Article  ADS  Google Scholar 

  17. Chimento, L.P., Richarte, M.G.: Eur. Phys. J. C 73, 2497 (2013)

    Article  ADS  Google Scholar 

  18. Chimento, L.P., Richarte, M.G., Sánchez G, I.: Phys. Rev. D 88, 087301 (2013)

    Article  ADS  Google Scholar 

  19. Ade, P.A.R., et al.: [ arXiv:1303.5076v1]

  20. Hollenstein, L., Sapone, D., Crittenden, R., Schaefer, B.M.: JCAP 0904, 012 (2009)

    Article  ADS  Google Scholar 

  21. Basilakos, S.: Astron. Astrophys. 12575 (2009)

  22. Lima, J.A.S., Basilakos, S., Costa, F.E.M.: Phys. Rev. D 86, 103534 (2012)

    Article  ADS  Google Scholar 

  23. Stern, D., Jimenez, R., Verde, L., Kamionkowski, M., Stanford, S.A.: JCAP 1002, 008 (2010). [ arXiv:0907.3149 [astro-ph.CO]]

    Article  ADS  Google Scholar 

  24. Simon, J., Verde, L., Jimenez, R.: Phys. Rev. D 71, 123001 (2005). [astro-ph/0412269]

    Article  ADS  Google Scholar 

  25. Riess, A.G., et al.: Astrophys. J. 699, 539 (2009). [ arXiv:0905.0695 [astro-ph.CO]]

    Article  ADS  Google Scholar 

  26. Moresco, M., et al.: JCAP 1208, 006 (2012)

    Article  ADS  Google Scholar 

  27. Busca, N.G., et al.: (2012) [ arXiv:1211.2616 [astro-ph.CO]]

  28. Zhang, C., et al.: (2012). [ arXiv:1207.4541 [astro-ph.CO]]

  29. Blake, C., et al.: MNRAS 425, 405 (2012)

    Article  ADS  Google Scholar 

  30. Chuang, C.H., Wang, Y.: (2012). [ arXiv:1209.0210 [astro.ph-CO]]

  31. Komatsu, E., et al.: [ arXiv:1001.4538 [astro-ph.CO]]

  32. Hinshaw, G., et al.: [ arXiv:1212.5226v3]

  33. Farooq, O., Ratra, B.: [ arXiv:1301.5243 [astro-ph.CO]]

  34. Press, W.H., et al.: Numerical Recipes in C. Cambrige University Press, Cambrige (1997)

    Google Scholar 

  35. Sivia, D.S., Skilling, J.: Data Analysis: A Bayesian Tutorial. Oxford University Press Inc, Oxford (2006)

    MATH  Google Scholar 

  36. Doran, M., Robbers, G.: JCAP 0606, 026 (2006). astro-ph/0601544]

    Article  ADS  Google Scholar 

  37. Calabrese, E., Huterer, D., Linger, E.V., Melchiorri, A., Pagano, L.: Phys. Rev. D 83, 123504 (2011)

    Article  ADS  Google Scholar 

  38. Hou, Z., et al.: [ arXiv:1212.6267]

  39. Calabrese, E., de Putter, R., Huterer, D., Linger, E.V., Melchiorri, A.: Phys. Rev. D 83, 023011 (2011)

    Article  ADS  Google Scholar 

  40. Wright, E.L.: Astrophys. J. 664, 633–639 (2007)

    Article  ADS  Google Scholar 

  41. Basilakos, S., Plionis, M., Solà, J.: Phys. Rev. D 80, 3511 (2009)

    Google Scholar 

  42. Alcaniz, J.S., Lima, J.A.S.: Astrophys. J. 521, L87 (1999)

    Article  ADS  Google Scholar 

  43. Dunlop, J., et al.: Nature 381, 581 (1996)

    Article  ADS  Google Scholar 

  44. Spinrad, H., et al.: Astrophys. J. 484, 581 (1997)

    Article  ADS  Google Scholar 

  45. Dunlop, J.: In The Most Distant Radio Galaxies, Rottgering, H.J.A., Best P., Lehnert, M.D. (eds.), p. 71. Kluwer, Dordrecht (1999)

  46. Stockton, A., Kellogg, M., Ridgway, S.E.: Astrophys. J. 443, L69 (1995)

    Article  ADS  Google Scholar 

  47. Yoshii, Y., Tsujimoto, T., Kawara, K.: Astrophys. J. 507, L113 (1998)

    Article  ADS  Google Scholar 

  48. Hasinger, G., Schartel, N., Komossa, S.: Astrophys. J. 573, L77 (2002)

    Article  ADS  Google Scholar 

  49. Komossa, S., Hasinger, G.: astro-ph/0207321

  50. Wei, H., Zhang, S.N.: Phys. Rev. D 76, 063003 (2007). [ astro-ph/0707.2129]

    Article  ADS  Google Scholar 

  51. Tanvir, N.R., Fox, D.B., Levan, A.J., Berger, E., Wiersema, K., Fynbo, J.P.U., Cucchiara, A., Kruhler, T., et al.: Nature 461, 1254 (2009). [ arxiv.org/abs/0906.1577]

  52. Salvaterra, R., Della Valle, M., Campana, S., Chincarini, G., Covino, S., DAvanzo, P., Fernandez-Soto, A., Guidorzi, C., et al.: [ arXiv:0906.1578]

  53. Tong, M.L., Zhang, Y.: (2009). [ 0906.3646 [gr-qc]]

  54. Yang, R.J., Zhang, S.N.: Mon. Not. R. Astron. Soc. 407, 1835 (2010)

    Article  ADS  Google Scholar 

  55. Chimento, L.P., Forte, M., Richarte, M.G.: Eur. Phys. J. C 73, 2285 (2013)

    Article  ADS  Google Scholar 

  56. Chimento, L.P., Forte, M., Richarte, M.G.: Mod. Phys. Lett. A 28, 1250235 (2013)

    Article  ADS  Google Scholar 

  57. Cui, Jinglei, Zhang, Xin: Phys. Lett. B 690, 233–238 (2010)

    Article  ADS  Google Scholar 

  58. Forte, M.: (2013). [ arXiv:1311.3921v1 [gr-qc]]

  59. Reichardt, C.L., de Putter, R., Zahn, O., Hou, Z.: [ arXiv:1110.5328]

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Acknowledgments

The author would like to thank Prof. L. P. Chimento for useful comments that greatly improved the clarity of the manuscript. Also acknowledges the support of CONICET, IMAS and Math. Department, FyCEN-UBA.

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Authors and Affiliations

  1. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IMAS, Buenos Aires, Argentina

    Iván E. Sánchez G.

  2. IMAS, CONICET, Ciudad Universitaria, Pabellón I, 1428 , Buenos Aires, Argentina

    Iván E. Sánchez G.

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  1. Iván E. Sánchez G.
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Correspondence to Iván E. Sánchez G..

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Sánchez G., I.E. Dark matter interacts with variable vacuum energy. Gen Relativ Gravit 46, 1769 (2014). https://doi.org/10.1007/s10714-014-1769-0

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