Dynamics of Anisotropic Cylindrical Collapse in Energy-Momentum Squared Gravity

This paper deals with the dynamics of cylindrical collapse anisotropic matter configuration in context energy-momentum squared gravity. covariant generalization general relativity allows presence T_abT^ab action functional theory. Consequently, relevant field equations are different from only sources. In this theory, there is a maximum energy density and minimum scale factor early universe. means that bounce at times which avoids an early-time singularity. Moreover, theory possesses true sequence cosmological eras. However, constant does not play important role becomes after matter-dominated era. “repulsive” nature plays crucial resolving We formulate corresponding as well junction conditions. construct dynamical through Misner–Sharp technique examine impact gravity on rate. develop relation among fluid parameters, correction terms Weyl scalar effects anisotropy, effective variables collapsing phenomenon. Due to pressure, spacetime no longer considered be conformally flat. To obtain flat spacetime, we neglect anisotropy assume isotropic distribution yields homogeneity spacetime. The hydrodynamical force determines stability system prevents expanding process for model. conclude positive provide anti-gravitational behavior leading self-gravitating objects hence prevent process.