Copyright © 2012 Riou Nakamura et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

1. A. de Felice and S. Tsujikawa, “f (R) theories,” Living Reviews in Relativity, vol. 13, no. 3, pp. 1–161, 2010.
2. T. P. Satiriou and V. Faraoni, “f(R) theories of gravity,” Reviews of Modern Physics, vol. 82, pp. 451–497, 2010.
3. K. Umezu, K. Ichiki, T. Kajino, G. J. Mathews, R. Nakamura, and M. Yahiro, “Observational constraints on accelerating brane cosmology with exchange between the bulk and brane,” Physical Review D, vol. 73, no. 6, Article ID 063527, 2006. View at Publisher · View at Google Scholar
4. H. Alnes, M. Amarzguioui, and O. Gron, “An inhomogeneous alternative to dark energy?” Physical Review D, vol. 73, Article ID 083519, 2006.
5. A. E. Romano, “Lemaitre-Tolman-Bondi universes as alternatives to dark energy: does positive averaged acceleration imply positive cosmic acceleration?” Physical Review D, vol. 75, no. 4, Article ID 043509, 2007. View at Publisher · View at Google Scholar
6. S. Perlmutter, G. Aldering, G. Goldhaber et al., “Measurements of Ω and Λ from 42 high-redshift Supernovae,” Astrophysical Journal, vol. 517, no. 2, pp. 565–586, 1999.
7. A. G. Riess, A. V. Filippenko, P. Challis et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” Astronomical Journal, vol. 116, no. 3, pp. 1009–1038, 1998.
8. R. Amanullah, et al., “Spectra and light curves of six type Ia Supernovae at 0.511 < z < 1.12 and the Union2 compilation,” The Astrophysical Journal, vol. 716, no. 1, article 712, 2010. View at Publisher · View at Google Scholar
9. M. L. Brown, P. Ade, J. Bock et al., “Improved measurements of the temperature and polarization of the cosmic microwave background from quad,” Astrophysical Journal, vol. 705, no. 1, pp. 978–999, 2009. View at Publisher · View at Google Scholar
10. N. Jarosik, C. L. Bennett, J. Dunkley, et al., “Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: sky maps, systematic errors, and basic results,” Astrophysical Journal Suppl., vol. 192, 15 pages, 2011.
11. E. Komatsu, K. M. Smith, J. Dunkley, et al., “Even-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation,” Astrophysical Journal Suppl., vol. 192, p. 18, 2011.
12. W. J. Percival, B. A. Reid, D. J. Eisenstein et al., “Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample,” Monthly Notices of the Royal Astronomical Society, vol. 401, no. 4, pp. 2148–2168, 2010. View at Publisher · View at Google Scholar
13. P. J. E. Peebles and B. Ratra, “The cosmological constant and dark energy,” Reviews of Modern Physics, vol. 75, pp. 559–606, 2003. View at Publisher · View at Google Scholar
14. E. J. Copeland, M. Sami, and S. Tsujikawa, “Dynamics of dark energy,” International Journal of Modern Physics D, vol. 15, no. 11, pp. 1753–1935, 2006. View at Publisher · View at Google Scholar
15. K. Freese, F. C. Adams, J. A. Frieman, and E. Mottola, “Cosmology with decaying vacuum energy,” Nuclear Physics, B, vol. 287, pp. 797–814, 1987. View at Scopus
16. J. M. Overduin, P. S. Wesson, and S. Bowyer, “Constraints on vacuum decay from the microwave background,” Astrophysical Journal, vol. 404, no. 1, pp. 1–7, 1993. View at Scopus
17. J. A. S. Lima, “Thermodynamics of decaying vacuum cosmologies,” Physical Review D, vol. 54, no. 4, pp. 2571–2577, 1996.
18. P. Jetzer, D. Puy, M. Signore, and C. Tortora, “Limits on decaying dark energy density models from the CMB temperature-redshift relation,” General Relativity and Gravitation, vol. 43, no. 4, pp. 1083–1093, 2011. View at Publisher · View at Google Scholar · View at Scopus
19. P. Jetzer and C. Tortora, “Constraints from the CMB temperature and other common observational data sets on variable dark energy density models,” Physical Review D, vol. 84, Article ID 043517, 2011. View at Publisher · View at Google Scholar
20. K. Kimura, M. Hashimoto, K. Sakoda, and K. Arai, “Effects on the temperatures of a variable cosmological term after recombination,” Astrophysical Journal Letters, vol. 561, no. 1, pp. L19–L22, 2001. View at Publisher · View at Google Scholar · View at Scopus
21. M. Hashimoto, T. Kamikawa, and K. Arai, “Effects of a decaying cosmological term on the formation of molecules and first objects,” Astrophysical Journal, vol. 598, no. 1, pp. 13–19, 2003. View at Publisher · View at Google Scholar · View at Scopus
22. D. Puy, “Thermal balance in decaying Λ cosmologies,” Astronomy and Astrophysics, vol. 422, pp. 1–9, 2004. View at Publisher · View at Google Scholar
23. R. Nakamura, M.-A. Hashimoto, and K. Ichiki, “Cosmic microwave background constraints on a decaying cosmological term related to the thermal evolution,” Physical Review D, vol. 77, no. 12, Article ID 123511, 2008. View at Publisher · View at Google Scholar
24. S. Weinberg, Cosmology, Oxford University Press, Oxford, UK, 2008.
25. J. M. Overduin and F. I. Cooperstock, “Evolution of the scale factor with a variable cosmological term,” Physical Review D, vol. 58, no. 4, Article ID 043506, 3 pages, 1998.
26. V. Sahni and A. Starobinsky, “The case for a postive cosmological λ-term,” International Journal of Modern Physics D, vol. 9, pp. 373–443, 2000.
27. A. G. Riess, et al., “A 3% solution: determination of the Hubble constant with the Hubble space telescope and wide field camera 3,” The Astrophysical Journal, vol. 730, p. 119, 2011.
28. A. G. Riess, et al., “Erratumml: A 3% solution: determination of the Hubble constant with the Hubble space telescope and wide field camera 3,” The Astrophysical Journal, vol. 732, p. 129, 2011.
29. J. C. Mather, D. J. Fixsen, R. A. Shafer, C. Mosier, and D. T. Wilkinson, “Calibrator design for the COBE Far Infrared Absolute Spectrophotometer (FIRAS),” Astrophysical Journal, vol. 512, no. 2, pp. 511–520, 1999. View at Scopus
30. A. Songaila, L. L. Cowie, S. Vogt et al., “Measurement of the microwave background temperature at a redshift of 1.776,” Nature, vol. 371, no. 6492, pp. 43–45, 1994. View at Publisher · View at Google Scholar · View at Scopus
31. J. Ge, J. Bechtold, and J. H. Black, “A new measurement of the cosmic microwave background radiation temperature at $z=1.97$,” Astrophysical Journal, vol. 474, no. 1, pp. 67–73, 1997. View at Publisher · View at Google Scholar
32. R. Srianand, P. Petitjean, and C. Ledoux, “The cosmic microwave background radiation temperature at a redshift of 2.34,” Nature, vol. 408, no. 6815, pp. 931–935, 2000. View at Publisher · View at Google Scholar · View at Scopus
33. P. Molaro, S. A. Levshakov, M. Dessauges-Zavadsky, and S. D'Odorico, “The cosmic microwave background radiation temperature at zabs = 3.025 toward QSO 0347-3819,” Astronomy and Astrophysics, vol. 381, no. 3, pp. L64–L67, 2002. View at Scopus
34. J. Cui, J. Bechtold, G. E. Jian, and D. M. Meyer, “Molecular hydrogen in the damped Lyα absorber of Q1331+170,” Astrophysical Journal, vol. 633, no. 2, pp. 649–663, 2005. View at Publisher · View at Google Scholar · View at Scopus
35. R. Srianand, P. Noterdaeme, C. Ledoux, and P. Petitjean, “First detection of CO in a high-redshift damped Lyman-α system,” Astronomy and Astrophysics, vol. 482, no. 3, pp. L39–L42, 2008. View at Publisher · View at Google Scholar · View at Scopus
36. P. Noterdaeme, P. Petitjean, C. Ledoux, S. López, R. Srianand, and S. D. Vergani, “A translucent interstellar cloud at $z=2.69$ CO, H ₂, and HD in the line-of-sight to SDSS J123714.60 + 064759.5,” Astronomy and Astrophysics, vol. 523, article A80, 2010. View at Publisher · View at Google Scholar
37. P. Noterdaeme, P. Petitjean, R. Srianand, C. Ledoux, and S. López, “The evolution of the cosmic microwave background temperature: measurements of TCMB at high redshift from carbon monoxide excitation,” Astronomy and Astrophysics, vol. 526, no. 11, article L7, 2011. View at Publisher · View at Google Scholar · View at Scopus
38. E. S. Battistelli, M. De Petris, L. Lamagna et al., “Cosmic microwave background temperature at galaxy clusters,” Astrophysical Journal Letters, vol. 580, no. 2 II, pp. L101–L104, 2002. View at Publisher · View at Google Scholar
39. G. Luzzi, M. Shimon, L. Lamagna et al., “Redshift dependence of the cosmic microwave background temperature from sunyaev-zeldovich measurements,” Astrophysical Journal, vol. 705, no. 2, pp. 1122–1128, 2009. View at Publisher · View at Google Scholar
40. R. Kessler, A. C. Becker, D. Cinabro et al., “First-year sloan digital sky survey-ii supernova results: Hubble diagram and cosmological parameters,” Astrophysical Journal Suppl., vol. 185, no. 1, pp. 32–84, 2009. View at Publisher · View at Google Scholar