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A linear response relation between metric and fluid perturbations driven by abackground noise source is used as a framework for obtaining non-radial polarperturbations in dense matter relativistic stars. The perturbations carry ageneralized stochastic nature as solutions to the classical Einstein-Langevinequation which has been recently proposed. The significance of these stochasticnon-radial polar perturbations lies at probing the intermediate sub-hydroscales inside the dense fluid. This study extends towards anon-equilibrium/near-equilibrium statistical mechanics study for relativisticstar interiors. We address the non-radial polar perturbations in stars whichare important from the point of view of detection in future. A generalizedstochastic noise which originates as the remnant of collapse mechanism inisolated star is expected to give rise to such stochastic polar perturbationsat intermediate sub-hydro scales. More specifically it is the interplay betweenthe degeneracy pressure of exotic matter and the gravitational pressure thatgives rise to the seeds of stochastic effects or noise in the background of thegravitating body towards the near-equilibrium configuration.

Induced polar perturbations in relativistic stars with stochastic  effects in the dense matter at sub-hydro mesoscopic scales: A theoretical  probe at intermediate length scales