Bounce Cosmology in Generalized Modified Gravities

Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity

We develop an effective Gauss-Bonnet extension of Loop Quantum Cosmology, by introducing holonomy corrections in modified F (G) theories of gravity. Within the context of our formalism, we provide a perturbative expansion in the critical density, a parameter characteristic of Loop Quantum Gravity theories, and we result in having leading order corrections to the classical F (G) theories of grav...

Direct dark matter searches - Test of the Big Bounce Cosmology

Abstract. We consider the possibility of using dark matter particle’s mass and its interaction cross section as a smoking gun signal of the existence of a Big Bounce at the early stage in the evolution of our currently observed universe. A study of dark matter production in the pre-bounce contraction and the post bounce expansion epochs of this universe reveals a new venue for achieving the obs...

A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce

Recently the so-called mimetic gravity approach has been used to obtain corrections to the Friedmann equation of General Relativity similar to the ones present in loop quantum cosmology. In this paper, we propose an alternative way to derive this modified Friedmann equation via the so-called non-polynomial gravity approach, which consists of adding geometric non-polynomial higher derivative ter...

Generalized power expansions in cosmology

It is given an algorithm to obtain generalized power asymptotic expansions of the solutions of the Einstein equations arising for several homogeneous cosmological models. This allows to investigate their behavior near the initial singularity or for large times. An implementation of this algorithm in the CAS system Maple V Release 4 is described and detailed calculations for three equations are ...

Modified gravity and cosmology