标题： FLRW观测视界热力学 显示英文标题

标题： Thermodynamics of the FLRW apparent horizon

摘要： 为了研究动态系统中引力与热力学之间的关系，我们将弗里德曼-勒梅特-罗伯逊-沃尔克（FLRW）时空的表观视界解释为一个热力学系统。我们推导了熵表示下的相应基本方程，并探讨了要求满足热力学经典定律的后果。我们详细研究了具有和不具有宇宙常数的FLRW时空的情况。我们表明，只有在某些条件下才能将表观视界解释为热力学系统，因为这种类比并不总是适用于进入视界动力学的参数的所有值，更不用说其整个演化过程了。 显示英文摘要

摘要： To investigate the relationship between gravity and thermodynamics in the case of dynamic systems, we interpret the apparent horizon of the Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetime as a thermodynamic system. We derive the corresponding fundamental equation in the entropy representation and explore the consequences of demanding the fulfillment of the classical laws of thermodynamics. We investigate in detail the case of an FLRW spacetime with and without cosmological constant. We show that the interpretation of the apparent horizon as a thermodynamic system is possible only under certain conditions because the analogy is not always valid for all the values of the parameters entering the dynamics of the horizon and certainly not for its entire evolution.