A conformally invariant weight-six correction to the anomaly-induced effective action leaves a free parameter in the semiclassical stress tensor near a Schwarzschild black hole, producing quantum hair.
Notes on conformal anomaly, nonlocal effective action, and the metamorphosis of the running scale,
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Conformally Invariant Corrections to the Anomaly-Induced Effective Action and Black Hole Evaporation in Four Dimensions
A conformally invariant weight-six correction to the anomaly-induced effective action leaves a free parameter in the semiclassical stress tensor near a Schwarzschild black hole, producing quantum hair.