Macroscopic manifestations of a chiral anomaly in a gravitational field

A chiral anomaly is shown to lead to several macroscopic effects for a rotating gravitating object. In particular, a vacuum condensate arises, where E and H are the electric and magnetic fields. The magnitude of this condensate falls off as a power of the distance from the object. The corresponding vacuum currents are also found. Arguments are presented to support the assertion that for rotating black holes the anomaly leads to the emission of massless particles: gravitons, photons, and neutrinos. As a result of this process, the black hole loses its angular momentum. Parametrically, the effect is comparable to the Hawking effect