Stability of the Einstein static universe in modified Gauss-Bonnet gravity
Christian G. Boehmer, Francisco S. N. Lobo
TL;DR
This paper investigates the stability of the Einstein static universe within f(G) modified Gauss-Bonnet gravity, analyzing how perturbations affect its stability based on the form of f(G) and the equation of state.
Contribution
It provides a generic stability analysis of the Einstein static universe in f(G) gravity, highlighting the role of the second derivative of f(G) and the equation of state parameter.
Findings
Stability regions depend on the form of f(G) and the equation of state parameter w.
The second derivative of f(G) influences the stability conditions.
Homogeneous perturbations can destabilize or stabilize the Einstein static universe.
Abstract
We analyze the stability of the Einstein static universe by considering homogeneous perturbations in the context of f(G) modified Gauss-Bonnet theories of gravity. By considering a generic form of f(G), the stability region of the Einstein static universe is parameterized by the linear equation of state parameter w=p/rho and the second derivative f"(G) of the Gauss-Bonnet term.
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