The Hayward metric is a spherically symmetric charged regular black holes, a modification of the Reisnner-Nordstr$\ddot{o}$m black holes of Einstein's equations coupled to nonlinear electrodynamics. We consider Einstein-Gauss-Bonnet gravity (EGB) coupled to nonlinear electrodynamics to present an exact five dimension ($5D$) Hayward black holes with a regular center, having inner (Cauchy) and outer (event) horizons which go over to Boulware-Desser black holes when the charge is switched off ($e=0$). The presence of charge $e$ leads the modification in thermodynamical quantities, and it has also been shown that the Hawking-Page like phase transition can be achieved. The specific heat shows divergence at the horizon radius $r=r_C$ (critical radius), where the temperature has a maximum. Our result in the limit, $e\to0$, reduces vis-a-vis to the $5D$ Boulware-Desser solutions.

中文翻译：

---

爱因斯坦-高斯-博内引力中的海沃德黑洞

海沃德度量是一个球对称的带电规则黑洞，它是对爱因斯坦方程的 Reisnner-Nordstr$\ddot{o}$m 黑洞的修正，与非线性电动力学耦合。我们认为爱因斯坦-高斯-博内引力 (EGB) 与非线性电动力学耦合，以呈现一个精确的五维 ($5D$) 海沃德黑洞，其中心规则，具有内部（柯西）和外部（事件）视界，这些视界会转移到 Boulware - 关闭充电时的甜点黑洞 ($e=0$)。电荷 $e$ 的存在导致了热力学量的改变，并且还表明可以实现类似霍金佩奇的相变。比热在地平线半径 $r=r_C$（临界半径）处显示发散，其中温度具有最大值。我们的结果是极限，$e\to0$，