标题： 黑洞涨落与反作用的注记 显示英文标题

标题： Notes on Black Hole Fluctuations and Backreaction

摘要： 在这些笔记中，我们为系统地研究黑洞涨落和反作用问题做好准备，通过讨论问题的表述，评论现有工作的可能优点和缺点，并通过基于爱因斯坦-朗之万方程和自洽描述黑洞度规涨落和耗散动力学及其霍金辐射反作用的随机半经典引力理论，介绍我们自己的方法。 显示英文摘要

摘要： In these notes we prepare the ground for a systematic investigation into the issues of black hole fluctuations and backreaction by discussing the formulation of the problem, commenting on possible advantages and shortcomings of existing works, and introducing our own approach via a stochastic semiclassical theory of gravity based on the Einstein-Langevin equation and the fluctuation-dissipation relation for a self-consistent description of metric fluctuations and dissipative dynamics of the black hole with backreaction of its Hawking radiance.