arXiv 2002.109512020-02gr-qcastro-ph.HEastro-ph.SR

相对论星的涨落耗散关系

A Fluctuation Dissipation Relation for Relativistic stars

Seema Satin

备注：: 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

摘要：

得到了相对论性恒星扰动位形的涨落耗散关系。经典应力张量的随机波动包括相对论性恒星的物质含量（完美流体），作为描述系统的经典爱因斯坦-朗之万方程的源。我们讨论了这些波动的应力张量的线性响应，并从第一原理发展的波动耗散关系。因此，提出了一种基于时空度规和物质含量的系统浴分离，以研究相对论恒星的平衡和非平衡统计性质。这并不是从标量场或量子应力张量及其涨落导出的，也与它们无关，而这通常是半经典随机引力的情况。

英文摘要：

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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