Phase-Space Analysis of an Einstein-Gauss-Bonnet Scalar Field Cosmology

Millano, Alfredo D.; Leon, Genly; Paliathanasis, Andronikos


We perform a detailed study of the phase-space of the field equations of an Einstein-Gauss-Bonnet scalar field cosmology for a spatially flat Friedmann-Lemaitre-Robertson-Walker spacetime. For the scalar field potential, we consider the exponential function. In contrast, we assume two cases for the coupling function of the scalar field with the Gauss-Bonnet term: the exponential function and the power-law function. We write the field equations in dimensionless variables and study the equilibrium points using normalized and compactified variables. We recover previous results, but also find new asymptotic solutions not previously studied. Finally, these couplings provide a rich cosmological phenomenology.

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Título según WOS: ID WOS:000960030900001 Not found in local WOS DB
Título de la Revista: MATHEMATICS
Volumen: 11
Número: 6
Editorial: MDPI
Fecha de publicación: 2023


Notas: ISI