Solutions for gravity coupled to massless gauge fields
Abstract
An explicit procedure is presented so that from each solution of the coupled EinsteinMaxwell equations for gravity and sourcefree electromagnetic fields, one can construct a set of solutions of the coupled EinsteinYangMills equations for gravity and sourcefree, unquantized, massless, gauge fields for any gauge group which has an invariant metric. These solutions show that the RainichMisnerWheeler "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 which has gauge charges such as isospin and hypercharge. A curvedspace generalization of the WuYang solution is shown to be a special case except written in a different gauge. Such blackhole solutions with massless gauge fields question Wheeler's "black holes have no hair" conjecture.
 Publication:

Physical Review D
 Pub Date:
 October 1975
 DOI:
 10.1103/PhysRevD.12.2212
 Bibcode:
 1975PhRvD..12.2212Y
 Keywords:

 Black Holes (Astronomy);
 Einstein Equations;
 Electromagnetic Fields;
 Gravitational Fields;
 Maxwell Equation;
 Astronomical Models;
 Electric Charge;
 Rotating Bodies;
 Astrophysics