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arXiv · 1411.0218

Negative potentials and collapsing universes

Roberto Giambò·John Miritzis·Koralia Tzanni
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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.

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Roberto Giambò, John Miritzis, Koralia Tzanni. 2014-11-02. Negative potentials and collapsing universes. https://doi.org/10.1088/0264-9381/32/3/035009

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