Probing bounce dynamics via Higher-Order Gauss-Bonnet modifications

Abstract

In this paper, we focus on the Gauss-Bonnet gravity theory, which includes higher curvature corrections to the Einstein-Hilbert action. We investigate the possibility of obtaining a bouncing cosmology in this modified theory of gravity, where the Universe contracts until a minimum scale factor and then expands again. We examines four Higher-Order Gauss-Bonnet Gravity theory models within the FLRW formalism, emphasizing the Universe’s bouncing behavior to resolve Big-Bang cosmology’s singularity problem. We establish cosmological constraints over cosmic time, investigate bounce conditions, reconstruct Higher-Order Gauss-Bonnet Gravity for a hyperbolic expansion law, and extend this reconstruction using the red-shift parameter to derive cosmological parameters signifying accelerated Universe expansion. The stability of these models is subsequently evaluated through an arbitrary speed of sound function for late-time stability assessment. Our results suggest that the Gauss-Bonnet gravity theory can provide a viable mechanism for a non-singular bounce in the early universe.