For the \((n+1)\)-dimensional (\(n\ge 3\)) dilaton black hole in the Einstein–Maxwell-dilaton theory, we have presented exact analytical solutions of the field equations. These exact solutions include the exact formula of the potential function as well as the exact formula of the metric function. The presence of the dilaton field makes the asymptotic behavior of these black holes no longer flat or anti-de Sitter. We have calculated the electric charge, mass, temperature, entropy and electric potential of these black holes and have shown the correctness of the first law of black hole thermodynamics. As a thermodynamic system, we have analyzed thermal stability of these types of black holes using the canonical ensemble method and, investigated the effect of dilaton field on their stability.

对于爱因斯坦-麦克斯韦膨胀理论中的\((n+1)\)维(\(n\ge 3\))膨胀黑洞，我们给出了场方程的精确解析解。这些精确解包括势函数的精确公式以及度量函数的精确公式。膨胀场的存在使得这些黑洞的渐近行为不再平坦或反德西特。我们计算了这些黑洞的电荷、质量、温度、熵和电势，证明了黑洞热力学第一定律的正确性。作为一个热力学系统，我们使用正则系综方法分析了此类黑洞的热稳定性，并研究了膨胀场对其稳定性的影响。