$f(R,\mathcal{L})$理论中的热力学：FLRW时空中的视视界
Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
摘要：
本文从热力学角度研究了最近提出的$f(R,\mathcal{L})$理论。这些理论的独特之处在于时空曲率耦合到重子物质而不是奇异物质（以标量场的形式）。我们调查的可行性，这些理论的热力学稳定性的模型的角度来看。更准确地说，我们在这里考虑的是在$f(R,\mathcal{L})$理论背景下的Friedmann-Lemaitre-Robertson-Walker（FLRW）时空的表观视界的热力学。我们考虑几种模型的$f(R,\mathcal{L})$理论，其中最小和非最小耦合已被认为是。计算各种热力学量，如熵、焓、内能、吉布斯自由能等，并且使用它们的允许范围来约束各种模型参数。
英文摘要：
In this paper we study the recently proposed $f(R,\mathcal{L})$ theories from a thermodynamic point of view. The uniqueness of these theories lies in the fact that the space-time curvature is coupled to the baryonic matter instead of exotic matter (in the form of scalar field). We investigate the viability of these theories from the point of view of the thermodynamic stability of the models. To be more precise here we are concerned with the thermodynamics of the apparent horizon of Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime in the background of the $f(R,\mathcal{L})$ theory. We consider several models of $f(R,\mathcal{L})$ theories where both minimal and non-minimal coupling has been considered. Various thermodynamic quantities like entropy, enthalpy, internal energy, Gibbs free energy, etc. are computed and using their allowed ranges various model parameters are constrained.
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