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Isotropization of Bianchi Models and a New FRW Solution in Brans–Dicke Theory

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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.

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References

  1. Bennett, C. L. et al. (1996). Astrophys. J. 464, L1; G´orski, K. M., et al. ibid. L11; Hinshaw, G. ibid. L17.

    Google Scholar 

  2. Hawking, S. W., and Taylor, R. J. (1966). Nature (London) 209, 1278; Barrow, J. D. (1976). Mon. Not. R. Astron. Soc. 175, 359.

    Google Scholar 

  3. Collins, C. B., and Hawking, S. W. (1973). Astrophys. J. 180, 317.

    Google Scholar 

  4. Barrow, J. D., and Sonoda, D. H. (1986). Phys. Rep. 139, 1.

    Google Scholar 

  5. Barrow, J. D. (1995). Phys. Rev. D 51, 3113.

    Google Scholar 

  6. Brans, C., and Dicke, R. (1961). Phys. Rev. 124, 925.

    Google Scholar 

  7. Chauvet, P., and Cervantes-Cota, J. L. (1995). Phys. Rev. D 52, 3416.

    Google Scholar 

  8. Mimoso, J. P., and Wands, D. (1995). Phys. Rev. D 52, 5612.

    Google Scholar 

  9. Cervantes-Cota, J. L., and Chauvet, P. A. (1999). Phys. Rev. D 59, 043501.

    Google Scholar 

  10. Fakir, R., and Unruh, W. G. (1990). Phys. Rev. D 41, 1783; ibid. 1792.

    Google Scholar 

  11. 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.

    Google Scholar 

  12. Cervantes-Cota, J. L. (1999). Class. Quant. Grav. 16, 3903.

    Google Scholar 

  13. Ruban, V. A., and Finkelstein, A. M. (1975). Gen. Rel. Grav. 6, 601.

    Google Scholar 

  14. 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.

    Google Scholar 

  15. Wainwright, J., and Ellis, G. F. R. (1997). Dynamical Systems in Cosmology (Cambridge University Press, Cambridge).

    Google Scholar 

  16. Will, C. M. (1993). Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge).

    Google Scholar 

  17. 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.

    Google Scholar 

  18. 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.

    Google Scholar 

  19. Dick, R. (1998). Gen. Rel. Grav. 30, 435.

    Google Scholar 

  20. Lorenz-Petzold, D. (1984). In Solutions of Einstein's Equations: Techniques and Results, (Springer Verlag, Berlin), p. 403, Eds.: C. Hoenselaers and W. Dietz.

    Google Scholar 

  21. Nariai, H. (1968). Prog. Theor. Phys. 40, 49.

    Google Scholar 

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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

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  • DOI: https://doi.org/10.1023/A:1010295422047

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