Negative potentials and collapsing universes II

Abstract

Completing a previous analysis started in [1], we study flat Friedmann--Lema\^ıtre--Robertson--Walker (FLRW) models with a perfect fluid matter source and a scalar field nonminimally coupled to matter, self--interacting with a potential that may attain negative values. We prove that the evolution generically forces the Hubble function to diverge to $-\infty$ in a finite time, except in case the potential exhibits a flat plateau at infinity (tending to zero from below); in that case we find conditions which may give rise to ever expanding or recollapsing cosmologies.

13 pages, 4 figures. To appear in CQG

References in corpus (2)

• Late-time oscillatory behaviour for self-gravitating scalar fields
• Coupled quintessence with double exponential potentials

Cited by in corpus (9)

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• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
• Sudden Future Singularities in Quintessence and Scalar-Tensor Quintessence Models
• Global models of collapsing scalar field: endstate
• Gravitational collapse of a spherical scalar field
• Integrable cosmological models with non-minimal coupling and bounce solutions