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Dynamical Study of the Singularities of Gravity in the Presence of Nonminimally Coupled Scalar Fields

Authors:

L R Abramo L Brenig E Gunzig Alberto Saa

Institution:

(1) Instituto de Física, Universidade de São Paulo, São Paulo, SP, Brazil;(2) RggR, Université Libre de Bruxelles, Bruxelles, Belgium;(3) Instituts Internationaux de Chimie et de Physique Solvay, Bruxelles, Belgium;(4) IMECC — UNICAMP, Campinas, SP, Brazil

Abstract:

We investigate the dynamics of Einstein equations in the vicinity of the two recently described types of singularity of anisotropic and homogeneous cosmological models described by the action

$S = \int {d^4 x\sqrt { - g} \{ F(\phi )R - \partial _a \phi \partial ^a \phi - 2V(\phi )\} }$

with general F() and V(). The dynamical nature of each singularity is elucidated, and we show that both are, in general, dynamically unavoidable, reinforcing the unstable character of previous isotropic and homogeneous cosmological results obtained for the conformal coupling case.

Keywords:

singularities gravity scalar field

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