The Thermo Field Dynamics (TFD) formalism is used to investigate the regular black holes at finite temperature. Using the Teleparalelism Equivalent to General Relativity (TEGR), the gravitational Stefan-Boltzmann law and the gravitational Casimir effect at zero and finite temperature are calculated. In addition, the first law of thermodynamics is considered. Then, the gravitational entropy and the temperature of the event horizon of a class of regular black holes are determined.

中文翻译：

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有限温度下的规则黑洞

热场动力学（TFD）形式用于研究有限温度下的规则黑洞。使用等效于广义相对论的Teleparalelism（TEGR），计算了零温度和有限温度下的重力Stefan-Boltzmann定律和重力卡西米尔效应。另外，考虑热力学的第一定律。然后，确定一类规则黑洞的重力熵和事件视界的温度。