We test ideas of the recently proposed first-order thermodynamics of scalar-tensor gravity using an exact geometry sourced by a conformally coupled scalar field. We report a nonmonotonic behavior of the effective “temperature of gravity” not observed before and due to a new term in the equation describing the relaxation of gravity toward its state of equilibrium, i.e., Einstein gravity, showing a richer range of thermal behaviors of modified gravity than previously thought.

中文翻译：

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爱因斯坦引力作为非最小耦合标量场几何的热平衡状态

我们使用由共形耦合标量场提供的精确几何形状来测试最近提出的标量张量引力一阶热力学的想法。我们报告了以前未观察到的有效“重力温度”的非单调行为，这是由于方程中描述重力向平衡状态弛豫的新术语，即爱因斯坦重力，显示了修改后的更丰富的热行为范围重力比之前想象的要大。