Cyclic universes with bouncing solutions are candidates for solving the big bang initial singularity problem. Here I will look for bouncing solutions in the context of modified Gauss-Bonnet gravity whose field equations contain up to fourth-order derivatives of the metric tensor. In finding such bouncing solutions I will resort to an order reduction technique that reduces the order of the differential equations of the theory to second-order and thus enables one to find solutions which are perturbatively close to general relativity. I will also build the covariant effective action of the resulting order reduced theory.
2019 October 16, 15:30
Faculdade de Ciências da Universidade de Lisboa (C8.2.15)
Campo Grande, 1749-016 Lisboa