经典Einstein-Langevin方程及其应用
Classical Einstein-Langevin Equation and Proposed Applications
摘要：
本文提出了一种在天体物理学和宇宙学中有一定应用的经典随机引力理论。这涉及到弯曲时空中的朗之万方法，本文以经典Einstein-Langevin方程的形式介绍了这种方法。这种方法的应用范围和可能的结果与半经典方法有很大的不同（这是一个活跃的研究领域）进行了讨论。这一研究领域可以看出，出现了良好的建立思想和结果，在布朗运动理论以及随机半经典引力和相关问题的热力学。本文给出了一个简单的计算，通过对Einstein Langevin方程的启发式求解，证明了随机性和诱导涨落对背景时空的贡献，所提出的主题的适用范围比本文所提到的更广。
英文摘要：
We propose to formulate a theory for Classical Stochastic Gravity for certain applications in Astrophysics and Cosmology.This involves the Langevin approach in curved spacetime, which is introduced here, in the form of a classical Einstein-Langevin equation.The domain of applications of such an approach and possible outcomes of this formulation which are quite different than its semiclassical counterpart (which is an active area of research), are discussed.This field of study can be seen to emerge out of well established ideas and results in Brownian motion theory as well as the Stochastic Semiclassical Gravity and related issues in Thermodynamics. A brief calculation, to demonstrate the contribution of stochasticty and induce fluctuations to the background spacetime via heuristic solution of the Einstein Langevin equation is given .The applicability of the proposed theme can have a wider expanse than is mentioned in this article.
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