Covariant action for bouncing cosmologies in modified Gauss-Bonnet gravity

Abstract

Cyclic universes with bouncing solutions are candidates for solving the big bang initial singularity problem. Here we seek bouncing solutions in a modified Gauss-Bonnet gravity theory, of the type $R+f(G)$, where $R$ is the Ricci scalar, $G$ is the Gauss-Bonnet term, and $f$ some function of it. In finding such a bouncing solution we resort to a technique that reduces the order of the differential equations of the $R+f(G)$ theory to second order equations. As general relativity is a theory whose equations are of second order, this order reduction technique enables one to find solutions which are perturbatively close to general relativity. We also build the covariant action of the order reduced theory.

8 pages

References in corpus (6)

• Quantum Nature of the Big Bang: Improved dynamics
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Covariant Effective Action for Loop Quantum Cosmology from Order Reduction
• The Asymptotic Behavior of Bouncing Cosmological Models in $F(\mathcal{G})$ Gravity Theory

Cited by in corpus (3)

• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Bouncing Cosmology in Fourth-Order Gravity