AI 中文总结
研究热浴对黑洞辐射的影响，通过解析推导有效凯尔迪什作用量和动力学方程，对与史瓦西黑洞辐射粒子弱耦合的热浴进行数值求解，发现热浴会抑制霍金辐射，使远处观察者检测到的辐射变弱。
AI 中文摘要
宇宙微波背景辐射或黑洞周围的粒子可被建模为与黑洞耦合的热浴。本研究探讨这种热浴对黑洞辐射的影响。该模型中霍金辐射粒子与热浴双线性耦合，将霍金辐射粒子视为系统，热浴作为环境。我们解析推导了有效凯尔迪什作用量和系统动力学方程，这对研究霍金辐射的有效动力学至关重要。对于与史瓦西黑洞辐射粒子弱耦合的热浴的特定情况，我们数值求解了有效动力学方程。结果表明热浴抑制了霍金辐射，因此远离黑洞的观察者检测到的辐射比霍金最初的预测更弱。
英文摘要
The cosmic microwave background radiation or particles surrounding a black hole can be modeled as a thermal bath coupled to the black hole. In this study, we investigate the effects of such a thermal bath on black hole radiation. The model involves Hawking radiation particles that are bilinearly coupled to the thermal bath. In this framework, the Hawking radiation particles are treated as the system, and the bath serves as the environment. We analytically derive the effective Keldysh action and the dynamical equation of the system, which are essential for studying the effective dynamics of Hawking radiation. For the specific case of a bath weakly coupled to the radiation particles from a Schwarzschild black hole, we numerically solve the effective dynamical equation. The results indicate that the bath suppresses Hawking radiation. Consequently, an observer located far away from the black hole will detect radiation that is weaker than Hawking's original prediction.
