A linear response relation in general relativity with applications to dense matter relativistic stars

TL;DR

This paper introduces a novel formalism in general relativity that links spacetime perturbations with matter responses, inspired by statistical physics, to study dense matter stars at intermediate scales.

Contribution

It develops a new linear response framework in general relativity, extending concepts from statistical physics to analyze dense matter relativistic stars.

Findings

Foundations for a mesoscopic theory of dense stars

Potential to probe intermediate-scale phenomena in relativistic stars

Implications for observational signatures of exotic matter

Abstract

A new formalism in general relativity with a linear response relation between perturbed Einstein tensor and the stress-energy tensor is presented. Basic concepts are borrowed from statistical physics and theory of stochastic processes by extending them for a spacetime structure. We show qualitatively new results of the first applications which lay foundations for a sub-hydro mesoscopic theory in dense matter relativistic stars. This will enable one to probe structure and phenomena at intermediate scales in relativistic stars and exotic fluids that they are made up of. The overall aim is to build foundations for studying dynamical equilibrium and non-equilibrium properties of astrophysical bodies based on stochastic correlations of perturbations of spacetime and matter fields. This will add to the present literature on asteroseismology a new insight in a significant way.It is also expected that this will lead to direct or indirect observational consequences of meso scale physics under extreme conditions present in the exotic objects.