Pm. Lavrov et Aa. Reshetnyak, ONE-LOOP EFFECTIVE ACTION FOR EINSTEIN GRAVITY IN SPECIAL BACKGROUND GAUGE, Physics letters. Section B, 351(1-3), 1995, pp. 105-110
The one-loop effective action for Einstein gravity in a special one-pa
rameter background gauge is calculated up to first order in the gauge
parameter. It is shown that the effective action does not depend upon
the gauge parameter on shell.