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Schwarzschild solution is classical, so it does not allow for violation of energy conditions to allow for Hawking radiations. So what justifies its use in QFT for a black hole?

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    $\begingroup$ I'm not sure if I fully understand your question. If the backreaction from your QFT is very small, then it's valid to use the classical Schwarzschild solution. What I mean is that if the quantum fields have only a small amount of energy in them, then they won't deform the spacetime metric very much; to a good approximation one can use the classical background of choice. $\endgroup$ – WAH Feb 10 '18 at 7:04
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Energy conditions are imposed by hand, since they are thought to be true for ordinary matter, but nowhere in the theory there is explicit need for them.

For instance wormholes are classical solutions violating the energy conditions.

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