Accelerated Expansion by Non-Minimally Coupled Scalar Fields

Mathematics – Logic

Scientific paper

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Dark Energy, Quintessence, Non-Minimal Coupling

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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