Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-12-14
Proceedings of the Eleventh Marcel Grossmann Meeting on General Relativity (Berlin, 2006), (Eds.) H. Kleinert, R. T. Jantzen a
Astronomy and Astrophysics
Astrophysics
3 pages, no figures, published version
Scientific paper
In a class of spatially homogeneous cosmologies including those of Bianchi type I--VIII mathematical results are presented which show that a scalar field non-minimally coupled to the scalar curvature of spacetime can dynamically yield a positive cosmological constant without the potential being required to include one. More precisely, it is shown that in an exponential potential any positive coupling constant leads eventually to late-time de Sitter expansion and isotropization corresponding to a positive cosmological constant and that this behaviour is independent of the steepness of the potential. This is in marked contrast to the minimally coupled case where power-law inflation occurs at most, provided the potential is sufficiently shallow.
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