TL;DR
This paper explores how rainbow gravity modifies Einstein's equations, leading to big bounce cosmological solutions that depend on specific dispersion relations and a cosmological constant, suggesting a universe with positive cosmological constant favors a bounce.
Contribution
It derives modified FRW equations within rainbow gravity framework considering radiation and identifies conditions for big bounce solutions, highlighting the role of energy-dependent cosmological constant.
Findings
Big bounce solutions are derived for specific dispersion relations.
A positive cosmological constant favors the occurrence of a big bounce.
Rainbow gravity modifications influence early universe cosmology.
Abstract
The usual Einstein's equations is modified as a one parameter family of equations in the framework of rainbow gravity. In this paper we derive the modified Friedmann-Robertson-Walker (FRW) equations when the cosmological evolution of radiation particles is taken into account. In particular, given some specific dispersion relations, the big bounce solutions to the modified FRW equations can be derived. Notably, to obtain a well defined rainbow metric at the moment of the big bounce, we find it seems necessary to introduce a cosmological constant which depends on the energy of probes as well, implying that a universe with a positive cosmological constant more likely undergoes a big bounce at least at this phenomenological level.
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