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The $d$-dimensional scalar field action may be reduced, in the backgroundgeometry of a black hole, to a 2-dimensional effective action. In the nearhorizon region, it appears a gravitational anomaly: the energy-momentum tensorof the scalar field is not conserved anymore. This anomaly is removed byintroducing a term related to the Hawking temperature of the black hole. Evenif the temperature term introduced is not covariant, a gauge transformation mayrestore the covariance. We apply this method to compute the temperature of theblack hole of the dilatonic non asymptotically flat black holes. We compare theresults with those obtained through other methods.

Hawking radiation for non asymptotically flat dilatonic black holes using gravitational anomaly