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The basic characteristics of the covariant chiral current $<J_{\mu}>$ and thecovariant chiral energy-momentum tensor $<T_{\mu\nu}>$ are obtained from achiral effective action. These results are used to justify the covariantboundary condition used in recent approaches\cite{Isowilczek,Isoumtwilczek,shailesh,shailesh2,Banerjee} of computing theHawking flux from chiral gauge and gravitational anomalies. We also discuss aconnection of our results with the conventional calculation of nonchiralcurrents and stress tensors in different (Unruh, Hartle-Hawking and Boulware)states.

Hawking Radiation, Covariant Boundary Conditions and Vacuum States