Ripples in fabric of space-time and cosmic stability

Abstract

This study focuses on investigating gravitational wave solutions and conducts stability analysis within the framework of EMY Black hole metric. It includes the non-abelian gauge fields and Maxwell’s electromagnetic fields into our gravitational background. Our stability analysis look for the effect of these fields on the system. We also have conducted stability analysis across various metrics, including FLRW, Kantowski-Sachs, Reissner-Nordstr¨om. Utilizing the Regge-Wheeler gauge, we explore the behavior of gravitational perturbations or ripples through matter or vacuum.