Three remarks on axisymmetric stationary horizons

Details Three remarks on axisymmetric stationary horizons Three remarks on axisymmetric stationary horizons

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cmaph..36..305h&link_type=abstract

Communications in Mathematical Physics, Volume 36, Issue 4, pp.305-320

Mathematics

Mathematical Physics

18

Scientific paper

In the first remark the catalogue of axisymmetric stationary horizons is completed by a subset of uncharged translation-symmetric horizons, which was ignored in the previous paper [5]. The subset consists of two one-parameter families: extreme Kerr horizon ( a= m) and a more symmetric family. In the second remark the surface area, net angular momentum and net charges of a black hole are computed. It turns out that the four invariant functions A, B, C, D used in [5] to classify the horizons describe, at least formally and up to a constant factor: A the profile of the black hole surface, B the surface density of angular momentum and C cos D, C sin D the surface density of electric and magnetic charge. In the third remark a simplified model of a black hole surrounded by a charged matter shell is found to satisfy a sort of generalized “no-hair-conjecture”. An example of a non-Kerr-Newman field around a horizon is provided; the magnetic field in it is hoped to have some astrophysical importance.

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