One way that people introduce the Hawking temperature of an event horizon, is by taking the near-horizon limit of the BH metric and then do a Wick rotation of the time coordinate. Then, the regularity of the metric requires that the Euclidean time to be periodic. But how can this give us the temperature of the horizon? What's the relation between the periodicity of the Euclidean time and temperature?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

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# A Near horizon limit and Hawking Temperature of the horizon

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