  In a recent letter, the authors presented a unified derivation of the
electric Schwinger effect and Hawking radiation 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
supposed an inconsistency when applying the formula to other cases, i.e. the
Schwinger effect with magnetic fields and cosmological particle production.
This letter points out that these conclusions are drawn from using the formula
outside its range of applicability.
