A Fluctuation Dissipation Relation for Relativistic stars
Abstract
A fluctuation-dissipation relation for perturbed configuration of a relativistic star is obtained. The stochastic fluctuations of the classical stress tensor comprising the matter content ( a perfect fluid) of the relativistic star, act as the source in a classical Einstien-Langevin equation describing the system. We discuss the linear response of these fluctuations of the stress tensor and develop a fluctuation-dissipation relation from the first principles. Thus a system-bath separation in terms of spacetime metric and matter content is proposed, to study equilibrium and non equilibrium statistical properties for a relativistic star. This is not derived from or related to the scalar fields or quantum stress tensors and their fluctuations, as is usually the case for semiclassical stochastic gravity.
Cite
@article{arxiv.2002.10951,
title = {A Fluctuation Dissipation Relation for Relativistic stars},
author = {Seema Satin},
journal= {arXiv preprint arXiv:2002.10951},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1711.06859..... some flaw in the assumption for solution of the equations has been found, which is a non-trivial mistake, hence needs to be worked upon again with correct assumptions, and see if this work can progress with analytical closed form results or needs numerical work. Major modifications needed for the mathematics worked out here