论文标题
从明显范围的热力学中修改的宇宙学
Modified cosmology from the thermodynamics of apparent horizon
论文作者
论文摘要
在Bekenstein-Hawking熵的领域中，明显的地平线热力学与通常的flrw（Friedmann-Lema- Robertson-Walker）方程式与特殊情况仅适用于具有完美的状态（EOS）（EOS）（EOS）参数$ = -1 $ $ P = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -p = -1流体分别。为了包括$ p \ neq -ρ$，我们考虑在当前工作中修改Bekenstein -Hawking熵。特别是，我们开发了一个熵功能，该功能会导致通常的flrw方程式，对于$ p =wρ$给出的物质流体的一般$ eos，直接来自明显的地平线的热力学。新开发的熵获得了对Bekenstein-Hawking熵的校正，并且与已知的熵不同，例如Tsallis，Rényi，Barrow，Sharma-Mittal，Kaniadakis和Loop量子量子重力熵到目前为止提议。基于这一发现，我们研究了如果一个人的熵取决于Bekenstein-Hawking熵，则如何对明显的地平线宇宙学的Friedmann方程进行修改。这导致了宇宙的早期和晚期中一些有趣的宇宙学后果。
In the realm of the Bekenstein-Hawking entropy, the thermodynamics of apparent horizon bridges with the usual FLRW (Friedmann-Lemaître-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 $p = -ρ$ with $ρ$ and $p$ represent the energy density and the pressure of the fluid, respectively. To include the case $p \neq -ρ$, 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 $p = wρ$, 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, Rényi, 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.
