Table of Contents
Journal of Gravity
Volume 2013 (2013), Article ID 491905, 11 pages
http://dx.doi.org/10.1155/2013/491905
Research Article

Scalar-Tensor Bianchi VI Models

Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, 28040 Madrid, Spain

Received 20 February 2013; Accepted 13 May 2013

Academic Editor: Kazuharu Bamba

Copyright © 2013 J. A. Belinchón. 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. P. de Bernardis, P. A. R. Ade, J. J. Bock et al., “A flat Universe from high-resolution maps of the cosmic microwave background radiation,” Nature, vol. 404, pp. 955–959, 2000. View at Publisher · View at Google Scholar
  2. S. Hanany, P. Ade, A. Balbi et al., “MAXIMA-1: a measurement of the cosmic microwave background anisotropy on angular scales of 10'-5°,” The Astrophysical Journal Letters, vol. 545, no. 1, pp. L5–L9, 2000. View at Publisher · View at Google Scholar
  3. A. Balbi, P. Ade, J. Bock et al., “Constraints on cosmological parameters from MAXIMA-1,” The Astrophysical Journal Letters, vol. 545, no. 1, pp. L1–L4, 2000. View at Publisher · View at Google Scholar
  4. S. Perlmutter, G. Aldering, M. Della Valle et al., “Discovery of a supernova explosion at half the age of the Universe,” Nature, vol. 391, no. 6662, pp. 51–54, 1998. View at Publisher · View at Google Scholar
  5. 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. View at Publisher · View at Google Scholar
  6. P. M. Garnavich, R. P. Kirshner, P. Challis et al., “Constraints on cosmological models from Hubble space telescope observations of high-z supernovae,” The Astrophysical Journal Letters, vol. 493, no. 2, pp. L53–L57, 1998. View at Publisher · View at Google Scholar
  7. S. D. Innocenti, G. Fiorentini, G. G. Raffelt, B. Ricci, and A. Weiss, “Time variation of Newton's constant and the age of globular clusters,” Astronomy & Astrophysics, vol. 312, pp. 345–352, 1996. View at Google Scholar
  8. K. Umezu, K. Ichiki, M. Yahiro et al., “Cosmological constraints on Newton’s constant,” Physical Review D, vol. 72, no. 4, Article ID 044010, 5 pages, 2005. View at Publisher · View at Google Scholar
  9. G. S. Bisnovatyi-Kogan, “Checking the variability of the gravitational constant with binary pulsars,” International Journal of Modern Physics D, vol. 15, no. 7, pp. 1047–1052, 2006. View at Publisher · View at Google Scholar
  10. T. Damour, G. W. Gibbons, and J. H. Taylor, “Limits on the variability of G using binary-pulsar data,” Physical Review Letters, vol. 61, no. 10, pp. 1151–1154, 1988. View at Publisher · View at Google Scholar
  11. A. Riess, A. V. Filippenko, P. Challis et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” The Astronomical Journal, vol. 116, no. 3, pp. 1009–1038, 1998. View at Publisher · View at Google Scholar
  12. J. P. Uzan, “Varying constants, gravitation and cosmology,” Living Reviews in Relativity, vol. 14, article 2, 2011. View at Publisher · View at Google Scholar
  13. P. Jordan, Schwerkraft und Weltall, Vieweg Braunschweig, 1955.
  14. C. Brans and R. H. Dicke, “Mach's principle and a relativistic theory of gravitation,” Physical Review, vol. 124, no. 3, pp. 925–935, 1961. View at Publisher · View at Google Scholar · View at Scopus
  15. P. G. Bergmann, “Comments on the scalar-tensor theory,” International Journal of Theoretical Physics, vol. 1, no. 1, pp. 25–36, 1968. View at Publisher · View at Google Scholar
  16. K. Nordtvedt Jr., “Post-Newtonian metric for a general class of scalar-tensor gravitational theories and observational consequences,” Astrophysical Journal, vol. 161, pp. 1059–1067, 1970. View at Google Scholar
  17. R. V. Wagoner, “Scalar-tensor theory and gravitational waves,” Physical Review D, vol. 1, no. 12, pp. 3209–3216, 1970. View at Publisher · View at Google Scholar
  18. Y. Fujii and K. Maeda, The Scalar-Tensor Theory of Gravitation, Cambridge University Press, 2003.
  19. V. Faraoni, Cosmology in Scalar-Tensor Gravity, Kluwer Academic, Dordrecht, The Netherlands, 2004.
  20. J. A. Belinchón, “Generalized self-similar scalar-tensor theories,” The European Physical Journal C, vol. 72, p. 1866, 2012. View at Publisher · View at Google Scholar
  21. C. M. Will, Theory and Experiments in Gravitational Physics, Cambridge University Press, revised edition, 1993.
  22. K. Rosquist and R. T. Jantzen, “Spacetimes with a transitive similarity group,” Classical and Quantum Gravity, vol. 2, no. 6, article 004, pp. L129–L133, 1985. View at Publisher · View at Google Scholar · View at Scopus
  23. B. J. Carr and A. A. Coley, “Self-similarity in general relativity,” Classical and Quantum Gravity, vol. 16, no. 7, article R31, 1999. View at Publisher · View at Google Scholar
  24. A. A. Coley, Dynamical Systems and Cosmology, Kluwer Academic, Dordrecht, The Netherlands, 2003.
  25. J. A. Belinchón, “Bianchi I in scalar and scalar-tensor cosmologies,” Central European Journal of Physics, vol. 10, no. 4, pp. 789–798, 2012. View at Publisher · View at Google Scholar
  26. J. A. Belinchón, “Exact self-similar Bianchi II solutions for some scalar-tensor theories,” Astrophysics and Space Science, vol. 345, no. 2, pp. 387–397, 2013. View at Publisher · View at Google Scholar
  27. J. A. Belinchón, “(An)Isotropic models in scalar and scalar-tensor cosmologies,” Astrophysics and Space Science, vol. 338, no. 2, pp. 381–400, 2012. View at Publisher · View at Google Scholar
  28. H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of Einstein's Field Equations, Cambridge University Press, 2003.
  29. U. S. Nilsson, C. Uggla, J. Wainwright, and W. C. Lim, “An almost isotropic cosmic microwave temperature does not imply an almost isotropic universe,” The Astrophysical Journal Letters, vol. 522, no. 1, p. L1, 1999. View at Publisher · View at Google Scholar
  30. J. Wainwright and P. J. Anderson, “Isotropic singularities and isotropization in a class of Bianchi type-VIh cosmologies,” General Relativity and Gravitation, vol. 16, no. 7, pp. 609–624, 1984. View at Publisher · View at Google Scholar
  31. J. A. Belinchón, “Self-similar scalar cosmologies,” Gravitation and Cosmology. In press.
  32. B. Bertotti, L. Iess, and P. Tortora, “A test of general relativity using radio links with the Cassini spacecraft,” Nature, vol. 425, no. 6956, pp. 374–376, 2003. View at Publisher · View at Google Scholar · View at Scopus