The Hawking temperature of expanding cosmological black holes

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In the context of a debate on the correct expression of the Hawking temperature of an expanding cosmological black hole, we show that the correct expression in terms of the Hawking-Hayward quasi-local energy m of the hole is T=1/(8πm(t)). This expression holds for comoving black holes and agrees with a recent proposal by Saida, Harada, and Maeda.
5 latex pages, to appear in Phys. Rev. D. Some references added

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