Local Approach to Hawking Radiation

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Similar idea has been already considered, in the case of the Schwarzschild black hole, by Unruh in Ref. unruh

Cited in the paper.

Whenever the word ’horizon’ is used in this article, it always refers to a future horizon

Cited in the paper.

To make the mathematical formalism plausible also for the negative valued f ′ ​ ( r i ) f^{\prime}(r_{i}) , some of the following equations are supplemented with absolute value signs, regardless if they are needed when f ′ ​ ( r i ) > 0 f^{\prime}(r_{i})>0

Cited in the paper.

This point is located at the bifurcation point of the future and the past horizon

Cited in the paper.

I thank Steven Carlip for reminding me of this issue

Cited in the paper.

I thank Gabor Kunstatter for suggestions and comments regarding to this generalization

Cited in the paper.

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Closest in time.