The Big Bounce in Rainbow Universe
arXiv:0811.2615 · doi:10.1016/j.physletb.2010.03.028
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.
8pages, 5figures. Final version published in PLB.
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Cited by in corpus (40)
- Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
- Nonsingular Rainbow Universes
- Black Hole Remnant from Gravity's Rainbow
- Evolution of Metric Perturbations in Quintom Bounce model
- Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
- Nonsingular universe in massive gravity's rainbow
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- More on the initial singularity problem in gravity's rainbow cosmology
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- Branes in Gravity's Rainbow
- Self-sustained wormholes in modified dispersion relations
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- Hawking, Fiducial, and Free-fall Temperatures of Black Hole on Gravity's Rainbow
- Gravity's rainbow: a bridge between LQC and DSR
- Energy Scale of Lorentz Violation in Rainbow Gravity
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- Bouncing universe with modified dispersion relation
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