Stability of Einstein Static Universe over Lyra Geometry

Understand

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.