标题： 从视界热力学出发的修正宇宙学 显示英文标题

标题： Modified cosmology from the thermodynamics of apparent horizon

摘要： 在贝肯斯坦-霍金熵的领域中，视界热力学仅在物质场由具有状态方程参数$= -1$的完美流体给出的特殊情况下与通常的 FLRW（弗里德曼-勒梅特-罗伯逊-沃尔克）方程相连接，即$p = -\rho$，其中$\rho$和$p$分别代表流体的能量密度和压强。 为了包含情况$p \neq -\rho$，我们在本文中考虑了贝肯斯坦-霍金熵的修改。 特别是，我们开发了一个熵函数，该函数对于由$p = w\rho$给出的物质流体的$general$状态方程，直接从视界的热力学导出通常的 FLRW 方程。 新开发的熵在贝肯斯坦-霍金熵上获得了一种修正，并且不同于迄今为止提出的已知熵，如Tsallis、Rényi、Barrow、Sharma-Mittal、Kaniadakis和圈量子引力熵。 基于这一发现，我们研究如果从依赖于贝肯斯坦-霍金熵的一般熵开始，视界宇宙学的弗里德曼方程如何相应地被修改。 这导致了宇宙早期和晚期的一些有趣的宇宙学结果。 显示英文摘要

摘要： In the realm of the Bekenstein-Hawking entropy, the thermodynamics of apparent horizon bridges with the usual FLRW (Friedmann-Lema\^{i}tre-Robertson-Walker) equation only for a special case where the matter field is given by a perfect fluid having equation of state (EoS) parameter $= -1$, i.e $p = -\rho$ with $\rho$ and $p$ represent the energy density and the pressure of the fluid, respectively. To include the case $p \neq -\rho$, we consider the modification of the Bekenstein-Hawking entropy in the present work. In particular, we develop an entropy function that leads to the usual FLRW equations, for a $general$ EoS of the matter fluid given by $p = w\rho$, directly from the thermodynamics of the apparent horizon. The newly developed entropy acquires a correction over the Bekenstein-Hawking entropy and differs from the known entropies like the Tsallis, R\'{e}nyi, Barrow, Sharma-Mittal, Kaniadakis, and Loop Quantum Gravity entropies proposed so far. Based on this finding, we examine how the Friedmann equations of the apparent horizon cosmology are accordingly modified if one starts with a general entropy depending on the Bekenstein-Hawking entropy. This results in some interesting cosmological consequences during the early and late stages of the universe.