On stationary black holes of the Einstein conformally invariant scalar system.

Details On stationary black holes of the Einstein conformally invariant scalar system. On stationary black holes of the Einstein conformally invariant scalar system.

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jmp....39.6651z&link_type=abstract

Journal of Mathematical Physics, Vol. 39, No. 12, p. 6651 - 6667

Mathematics

Mathematical Physics

6

Kerr Black Holes

Scientific paper

The circularity property of stationary-axisymmetric asymptotically flat solutions of the coupled Einstein conformally invariant scalar field equations is investigated. It is proven that as a result of the coupling of the scalar field to the background scalar curvature, in general such solutions fail to be circular. Consequently, it is argued that the space of stationary, black hole equilibrium states may contain states which are not circular. However, the circular stationary-axisymmetric sector is nonempty and in fact it is proven that: all circular, stationary-axisymmetric asymptotically flat black hole solutions are those and only those black holes states described by the two parameter family of Kerr black holes.

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