标题： 视界的新膨胀定律与Kodama-Hayward温度 显示英文标题

标题： Modified expansion law with Kodama-Hayward temperature for the horizon

摘要： 根据Padmanabhan提出的膨胀定律，视界体积的演化是由于视界上的自由度与视界所包围的体内的自由度之间的差异。 在制定这一定律时，Padmanabhan使用了温度$T=H/2\pi$用于动态膨胀。 在这项工作中，我们使用了Kodama-Hayward温度，即视界的动态温度，对膨胀定律进行了修改，首先在(3+1)爱因斯坦引力中进行，并将其扩展到更高阶的引力理论，如(n+1)爱因斯坦引力、高斯-博内引力以及更一般的洛埃洛克引力。 与传统方法相反，我们将视界的自由度表示为视界的表面能量。 此外，我们还用宇宙组分表达了修改后的膨胀定律。 结果表明，可以将修改后的膨胀定律表达成似乎$T=H/2\pi$是动态视界的温度的形式。 显示英文摘要

摘要： The expansion law proposed by Padmanabhan suggests that the evolution of the volume of the horizon is due to the difference between the degrees of freedom on the horizon and the degrees of freedom in the bulk enclosed by the horizon. In formulating this law, Padmanabhan used the temperature, $T=H/2\pi$, for a dynamical expansion. In this work, we modified the expansion law using Kodama-Hayward temperature, the dynamical temperature, for the horizon, first in (3+1) Einstein's gravity and extended it to higher order gravity theories such as (n+1) Einstein gravity, Gauss-Bonnet gravity, and more general Lovelock gravity. Contrary to the conventional approach, we expressed degrees of freedom of the horizon in terms of the surface energy of the horizon. Also, we have expressed modified expansion law in terms of cosmic components. It then turns out that it is possible to express the modified expansion law in a form as if $T=H/2\pi$ is the temperature of the dynamical horizon.