Reply to "Comment on 'Gravitational Pair Production and Black Hole Evaporation'"

In a recent letter, the authors presented a unified derivation of the electric Schwinger effect and a generalized Hawking effect with an additional radiation component. The approach discloses a radial profile of black hole pair production and traces the emission back to local tidal forces which are independent of the black hole event horizon. It uses an effective action valid to second order in curvature and arbitrary order in proper time. A comment on the letter supposed two inconsistencies when applying the central formula to the Schwinger effect in the presence of magnetic fields. The present letter points out that the partially flawed argumentation does not cast doubt on the results.