In this paper, we investigate the four-dimensional Einstein–Gauss–Bonnet black hole. The thermodynamic variables and equations of state of black holes are obtained in terms of a new parameterization. We discuss a formulation of the van der Waals equation by studying the effects of the temperature on $P-V$ isotherms. We show the influence of the Cauchy horizon on the thermodynamic parameters. We prove by different methods, that the black hole entropy obey area law (plus logarithmic term that depends on the Gauss–Bonnet coupling $\alpha$). We propose a physical meaning for the logarithmic correction to the area law. This work can be extended to the extremal EGB black hole, in that case, we study the relationship between compressibility factor, specific heat and the coupling $\alpha$.

在本文中，我们研究了四维爱因斯坦-高斯-博内黑洞。根据新的参数化获得了黑洞的热力学变量和状态方程。我们通过研究温度对温度的影响来讨论范德瓦尔斯方程的公式$磷-伏$等温线。我们展示了柯西视界对热力学参数的影响。我们通过不同的方法证明，黑洞熵服从面积定律（加上依赖于高斯-博内耦合的对数项）$\alpha$）。我们提出了面积定律的对数校正的物理意义。这项工作可以推广到极值 EGB 黑洞，在这种情况下，我们研究压缩因子、比热和耦合之间的关系$\alpha$.