There exist several well-established procedures for computing thermodynamics for a single horizon spacetime. However, for a spacetime with multi-horizon, the thermodynamics is not very clear. It is not fully understood whether there exists a global temperature for the multi-horizon spacetime or not. Here we show that a global temperature can exist for Schwarzschild-de Sitter spacetime, Reissner-Nordstrom-de Sitter spacetime, and rotating BTZ black hole. This temperature does not coincide with the conventional Hawking temperature related to the outer horizon. We also show that the total entropy for these spacetimes can not be determined only by the outer horizon. The correlations between the horizons of these spacetimes determine it.

有几个成熟的程序可以计算单个视界时空的热力学。然而，对于多视界的时空，热力学不是很清楚。多视界时空是否存在全球温度尚不完全清楚。在这里，我们展示了 Schwarzschild-de Sitter 时空、Reissner-Nordstrom-de Sitter 时空和旋转 BTZ 黑洞的全球温度。这个温度与与外地平线有关的传统霍金温度不一致。我们还表明，这些时空的总熵不能仅由外视界确定。这些时空视界之间的相关性决定了它。