Oscillating universe in the DGP braneworld
Kaituo Zhang, Puxun Wu, Hongwei Yu

TL;DR
This paper classifies all possible cosmic evolutions in the DGP braneworld scenario, revealing conditions for oscillating, bouncing, and static universe states, and discusses how singularities can be avoided or occur.
Contribution
It introduces a method to analyze the scale factor evolution as a particle in a potential, providing a comprehensive classification of cosmic behaviors in the DGP model.
Findings
Existence of oscillating and bouncing universe solutions.
Conditions for avoiding big bang singularity.
Presence of stable Einstein static state.
Abstract
With a method in which the Friedmann equation is written in a form such that evolution of the scale factor can be treated as that of a particle in a "potential", we classify all possible cosmic evolutions in the DGP braneworld scenario with the dark radiation term retained. By assuming that the energy component is pressureless matter, radiation or vacuum energy, respectively, we find that in the matter or vacuum energy dominated case, the scale factor has a minimum value . In the matter dominated case, the big bang singularity can be avoided in some special circumstances, and there may exist an oscillating universe or a bouncing one. If the cosmic scale factor is in the oscillating region initially, the universe may undergo an oscillation. After a number of oscillations, it may evolve to the bounce point through quantum tunneling and then expand. However, if the universe contracts…
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