Abstract
Using scaled variables we are able to integrate an equation valid for isotropic and anisotropic Bianchi type I, V, IX models in Brans–Dicke (BD) theory. We analyze known and new solutions for these models in relation with the possibility that anisotropic models asymptotically isotropize, and/or possess inflationary properties. In particular, a new solution of curved (k ≠ 0) Friedmann–Robertson–Walker (FRW) cosmologies in Brans–Dicke theory is analyzed.
Similar content being viewed by others
References
Bennett, C. L. et al. (1996). Astrophys. J. 464, L1; G´orski, K. M., et al. ibid. L11; Hinshaw, G. ibid. L17.
Hawking, S. W., and Taylor, R. J. (1966). Nature (London) 209, 1278; Barrow, J. D. (1976). Mon. Not. R. Astron. Soc. 175, 359.
Collins, C. B., and Hawking, S. W. (1973). Astrophys. J. 180, 317.
Barrow, J. D., and Sonoda, D. H. (1986). Phys. Rep. 139, 1.
Barrow, J. D. (1995). Phys. Rev. D 51, 3113.
Brans, C., and Dicke, R. (1961). Phys. Rev. 124, 925.
Chauvet, P., and Cervantes-Cota, J. L. (1995). Phys. Rev. D 52, 3416.
Mimoso, J. P., and Wands, D. (1995). Phys. Rev. D 52, 5612.
Cervantes-Cota, J. L., and Chauvet, P. A. (1999). Phys. Rev. D 59, 043501.
Fakir, R., and Unruh, W. G. (1990). Phys. Rev. D 41, 1783; ibid. 1792.
Dehnen, H., Frommert, H., and Ghaboussi, F. (1992). Int. J. Theor. Phys. 31, 109; Dehnen, H., and Frommert, H. (1993). Int. J. Theor. Phys. 32, 135; Cervantes-Cota, J. L., and Dehnen, H. (1995). Phys. Rev. D 51, 395; ibid. (1995). Nucl. Phys. B 442, 391.
Cervantes-Cota, J. L. (1999). Class. Quant. Grav. 16, 3903.
Ruban, V. A., and Finkelstein, A. M. (1975). Gen. Rel. Grav. 6, 601.
Chauvet, P., Cervantes-Cota, J., and Nøñez-Yépez, H. N. (1991). In Proceedings of the 7th LatinAmerican Symposium on General Relativity and Gravitation, SILARG VII, D'Olivo, J. C., et al., eds. (World Scientific, Singapore), p. 487.
Wainwright, J., and Ellis, G. F. R. (1997). Dynamical Systems in Cosmology (Cambridge University Press, Cambridge).
Will, C. M. (1993). Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge).
Levin, J. J. (1995). Phys. Rev. D 51, 462; Levin, J. J., and Freese, K. (1993). ibid. D 47, 4282; Levin, J. J., and Freese, K. (1994). Nucl. Phys. B 421, 635.
Morganstern, R. E. (1971). Phys. Rev. D 4, 282; Ruban, V. A., and Finkelstein, A. M. (1976). Astrofizika 12, 371; Lorenz-Petzold, D. (1984). Astrophys. Space Sci. 98, 249; Barrow, J. D. (1993). Phys. Rev. D 47, 5329.
Dick, R. (1998). Gen. Rel. Grav. 30, 435.
Lorenz-Petzold, D. (1984). In Solutions of Einstein's Equations: Techniques and Results, (Springer Verlag, Berlin), p. 403, Eds.: C. Hoenselaers and W. Dietz.
Nariai, H. (1968). Prog. Theor. Phys. 40, 49.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cervantes-Cota, J.L., Nahmad, M. Isotropization of Bianchi Models and a New FRW Solution in Brans–Dicke Theory. General Relativity and Gravitation 33, 767–780 (2001). https://doi.org/10.1023/A:1010295422047
Issue Date:
DOI: https://doi.org/10.1023/A:1010295422047