Journal
UNIVERSE
Volume 8, Issue 3, Pages -Publisher
MDPI
DOI: 10.3390/universe8030161
Keywords
extended theories of gravity; bouncing cosmology; order reduction
Funding
- Istituto Nazionale di Fisica Nucleare (INFN)
- FundacAo para a Ciencia e a Tecnologia (FCT) Scientific Employment Stimulus [CEECINST/00032/2018]
- [UID/FIS/04434/2020]
- [PTDC/FIS-OUT/29048/2017]
- [CERN/FIS-PAR/0037/2019]
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This article presents a method to solve the problem of the initial singularity in the Big Bang by using bouncing solutions. By incorporating extended theories of gravity and an order reduction technique, the study aims to find solutions that closely resemble General Relativity.
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.
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