Motivated by high interest in Lorentz invariant massive gravity models known as the dRGT massive gravity, we discuss the dRGT massive gravity including the coupling term between dilaton scalar field and massive graviton, and present static and spherically symmetric solutions of dilatonic black holes in four and higher dimensional spacetime. Later, we investigate phase structure of these black hole solutions, and discover that the dilatonic black hole could possess two horizons, extreme and naked singularity black holes for the suitably parameters values. Calculating the conserved and thermodynamic quantities, we check the validity of the first law of thermodynamics.

中文翻译：

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dRGT 巨引力中的膨胀黑洞


出于对洛伦兹不变质量引力模型（称为 dRGT 质量引力）的高度兴趣，我们讨论了 dRGT 质量引力，包括膨胀标量场和质量引力子之间的耦合项，并提出了四阶及更高阶膨胀黑洞的静态和球对称解。维度时空。后来，我们研究了这些黑洞解的相结构，发现膨胀黑洞可以拥有两个视界，即在适当的参数值下，极端黑洞和裸奇点黑洞。通过计算守恒量和热力学量，我们检查了热力学第一定律的有效性。