Stability of Einstein Static Universe over Lyra Geometry

Abstract

The existence and stability conditions of Einstein static universe against homogeneous scalar perturbations in the context of Lyra geometry is investigated. The stability condition is obtained in terms of the constant equation of state parameter $\omega =p/\rho$ depending on energy density ${\rho }_0$ and scale factor $a_0$ of the initial Einstein static universe. Also, the stability against vector and tensor perturbations is studied. It is shown that a stable Einstein static universe can be found in the context of Lyra geometry against scalar, vector and tensor perturbations for suitable range and values of physical parameters.

11 pages

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• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Dynamical stability of an interacting quintessence with varying-mass dark matter particles in Lyra manifold
• Thermodynamic analysis of gravitational field equations in Lyra manifold
• A Higher Dimensional Cosmological Model for the Search of Dark Energy Source
• Emergent Cosmology in 4D Einstein Gauss Bonnet Theory of Gravity
• Lyra's cosmology of homogeneous and isotropic universe in Brans-Dicke theory
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects