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We generalize the work of Deser and Levin on the unified description ofHawking radiation and Unruh effect to general stationary motions in sphericallysymmetric black holes. We have also matched the chemical potential term of thethermal spectrum of the two sides for uncharged black holes.Comment: Latex file, 12 pages, no figure; v2: typos fixed; v3: minor  corrections, final version published in JHE

The GEMS Approach to Stationary Motions in the Spherically Symmetric Spacetimes