A mechanism generating axion hair for Kerr black holes.

Details A mechanism generating axion hair for Kerr black holes. A mechanism generating axion hair for Kerr black holes.

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mgah.book.....r&link_type=abstract

A mechanism generating axion hair for Kerr black holes., by Reuter, M.. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germa

Physics

4

Scientific paper

Recently Campbell et al. considered Kalb-Ramond axion fields with a Lorentz-Chern-Simons coupling to gravity. They find that in the background metric of a slowly rotating Kerr black hole the axion field strength develops a long range scalar 'hair'. The author shows that the same phenomenon also occurs with 'ordinary' axions, which are not related to form-valued fields. If these scalars couple to the divergence of some anomalous axial vector current, the Hirzebruch signature density acts as a source for the axion. In a Kerr background this leads to an asymptotic 1/r2-fall off of the axion field, i.e., to a scalar 'hair'. Because of the chiral anomaly of the photon (a local version of the signature index theorem), this can happen even in purely bosonic field theory models.

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