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.

arXiv comment8 pages

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Cited by in corpus (12)

• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Bouncing cosmology in $f(R,\mathcal{G})$ gravity by order reduction
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• Effective Actions for Loop Quantum Cosmology in Fourth-Order Gravity
• Bouncing Cosmology in Fourth-Order Gravity
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Covariant single-field formulation of effective cosmological bounces
• Bouncing cosmologies from Born-Infeld-type gravity