Qualitative analysis of a scalar-tensor theory with exponential potential
A.B. Batista, J.C. Fabris, S.V.B. Goncalves, J. Tossa
TL;DR
This paper qualitatively analyzes a scalar-tensor cosmological model with an exponential potential, identifying inflationary solutions and conditions for observationally favored scenarios to be attractors.
Contribution
It provides a phase diagram for the model and establishes conditions under which inflationary solutions align with supernova observations.
Findings
Solutions exhibit initial and final inflationary behavior
Conditions identified for observationally favored solutions to be attractors
Phase diagram constructed for the flat case
Abstract
A qualitative analysis of a scalar-tensor cosmological model, with an exponential potential for the scalar field, is performed. The phase diagram for the flat case is constructed. It is shown that solutions with an initial and final inflationary behaviour appear. The conditions for which the scenario favored by supernova type Ia observations becomes an attractor in the space of the solutions are established.
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