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arXiv · 2002.10951

A Fluctuation Dissipation Relation for Relativistic stars

Seema Satin
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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.

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Seema Satin. 2020-02-22. A Fluctuation Dissipation Relation for Relativistic stars. https://arxiv.org/abs/2002.10951

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