Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..12.2212y&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 12, Oct. 15, 1975, p. 2212-2217.
Astronomy and Astrophysics
Astronomy
56
Black Holes (Astronomy), Einstein Equations, Electromagnetic Fields, Gravitational Fields, Maxwell Equation, Astronomical Models, Electric Charge, Rotating Bodies
Scientific paper
An explicit procedure is presented so that from each solution to the coupled Einstein Maxwell equations for gravitational and source-free electromagnetic fields, a set of solutions to the coupled Einstein-Yang-Mills equations for gravitational and source-free unquantized massless gauge fields can be constructed for any gauge group that has an invariant metric. These solutions show that the Rainich-Misner-Wheeler (1957) 'already unified field theory' cannot be extended to massless gauge fields. As an example of the procedure, a solution is constructed which describes the exterior of a rotating black hole that has gauge charges such as isospin and hypercharge. A curved-space generalization of the Wu-Yang (1969) solution is shown to be a special case, except for being written in a different gauge. Such black-hole solutions with massles gauge fields raise doubts about Wheeler's (1971) 'black holes have no hair' conjecture.
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