Stability of Einstein Static Universe over Lyra Geometry

TL;DR

This paper investigates the stability of the Einstein static universe within Lyra geometry, analyzing scalar, vector, and tensor perturbations, and identifies conditions under which the universe remains stable.

Contribution

It introduces stability conditions for the Einstein static universe in Lyra geometry, considering multiple perturbation types, which is a novel analysis in this geometric framework.

Findings

Stable Einstein static universe exists in Lyra geometry for specific parameter ranges.

Stability against scalar, vector, and tensor perturbations is achievable.

Conditions depend on the equation of state parameter and initial universe parameters.

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.