Negative potentials and collapsing universes

Abstract

We study Friedmann--Robertson--Walker models with a perfect fluid matter source and a scalar field nonminimally coupled to matter. We prove that a general class of bounded from above potentials which fall to minus infinity as the field goes to minus infinity, forces the Hubble function to diverge to $-\infty$ in a finite time. This finite-time singularity theorem is true for arbitrary coupling coefficient, provided that it is a bounded function of the scalar field.

11 pages, 1 figure

References in corpus (10)

• Dynamics of dark energy with a coupling to dark matter
• Warm Inflation and its Microphysical Basis
• Dynamics of Quintessence Models of Dark Energy with Exponential Coupling to the Dark Matter
• Late-time oscillatory behaviour for self-gravitating scalar fields
• Inflationary Theory versus Ekpyrotic/Cyclic Scenario
• Coupled quintessence with double exponential potentials
• A primer on the ekpyrotic scenario
• A Model of the Universe including dark Energy
• Energy exchange in Weyl geometry
• Quintessence models of Dark Energy with non-minimal coupling

Cited by in corpus (2)

• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Integrable cosmological models with non-minimal coupling and bounce solutions