Accelerated expansion by non-minimally coupled scalar fields

Bieli, Roger

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Accelerated expansion by non-minimally coupled scalar fields

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Bieli, Roger
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Bieli, R. (2008). Accelerated expansion by non-minimally coupled scalar fields. In Proceedings of the Eleventh Marcel Grossmann General Relativity (pp. 1767-1769). New Jersey u.a.: World Scientific.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-470D-E

Abstract

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.