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Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
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abstract
We study how a cosmological bounce with a Type IV singularity at the bouncing point, can be generated by a classical vacuum $F(G)$ gravity. We focus our investigation on the behavior of the vacuum $F(G)$ theory near the Type IV singular bouncing point and also we address the stability of the resulting solution, by treating the equations of motion as a dynamical system. In addition, we investigate how the scalar perturbations of the background metric evolve, emphasizing to cosmological times near the Type IV singular bouncing point. Finally, we also investigate which mimetic vacuum $F(G)$ gravity can describe the singular bounce cosmology.
Forward citations
Cited by 3 Pith papers
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Non-singular bounce solutions in Myrzakulov $f(R,T)$ gravity
In Myrzakulov F(R,T) gravity, free connection functions can be chosen to produce matter-bounce backgrounds with a scale-invariant scalar power spectrum.
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Autonomous Dynamical System of Einstein-Gauss-Bonnet Cosmologies
A phase space analysis of Einstein-Gauss-Bonnet cosmology finds a stable equilibrium and a heteroclinic orbit, but the equilibrium requires the Gauss-Bonnet coupling to vanish and the orbit violates the Friedmann constraint.
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Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.
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