Bouncing Cosmology in Fourth-Order Gravity

Abstract

The Big Bang initial singularity problem can be solved by means of bouncing solutions. In the context of extended theories of gravity, we will look for covariant effective actions whose field equations contain up to fourth-order derivatives of the metric tensor. In finding such bouncing solutions, we will make use of an order reduction technique based on a perturbative approach. Reducing the order of the field equations to second-order, we are able to find solutions which are perturbatively close to General Relativity. We will build the covariant effective actions of the resulting order reduced theories.

arXiv comment7 pages. Proceedings for the Special Issue "Alternative Gravities and Fundamental Cosmology", matches published version in Universe

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Cited by in corpus (3)

• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• Bouncing cosmologies from Born-Infeld-type gravity