Covariant action for bouncing cosmologies in modified Gauss–Bonnet gravity

Journal Article · Wed May 15 00:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.02.010· OSTI ID:22852397

Terrucha, Inês; Vernieri, Daniele

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.

• OSTI ID: 22852397
• Journal Information: Annals of Physics, Vol. 404; Other Information: © 2019 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGY
DIFFERENTIAL EQUATIONS
GENERAL RELATIVITY THEORY
GRAVITATION
MATHEMATICAL SOLUTIONS
SCALARS
SINGULARITY
UNIVERSE