Solutions for gravity coupled to massless gauge fields

Journal Article · Wed Oct 15 04:00:00 EDT 1975 · Phys. Rev., D, v. 12, no. 8, pp. 2212-2217

DOI:https://doi.org/10.1103/PhysRevD.12.2212· OSTI ID:4090691

Yasskin, P B

An explicit procedure is presented so that from each solution of the coupled Einstein-Maxwell equations for gravity and source-free electromagnetic fields, one can construct a set of solutions of the coupled Einstein-Yang-Mills equations for gravity and source-free, unquantized, massless, gauge fields for any gauge group which has an invariant metric. These solutions show that the Rainich-Misner-Wheeler ''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 curved-space generalization of the Wu-Yang solution is shown to be a special case except written in a different gauge. Such black-hole solutions with massless gauge fields question Wheeler's ''black holes have no hair'' conjecture. (AIP)

• Research Organization: Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-019369
• OSTI ID: 4090691
• Journal Information: Phys. Rev., D, v. 12, no. 8, pp. 2212-2217, Journal Name: Phys. Rev., D, v. 12, no. 8, pp. 2212-2217; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*BLACK HOLES-- EINSTEIN-MAXWELL EQUATIONS
*ELECTROMAGNETIC FIELDS-- COUPLING
*GRAVITATIONAL FIELDS-- COUPLING
644003*
HYPERCHARGE
ISOSPIN
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N64120 --Physics (High Energy)--Particle Interactions & Properties (Experimental)--Weak
N76300* --Physics (Theoretical)--Gravitation & General Relativity
SO-3 GROUPS
SYMMETRY BREAKING
UNIFIED GAUGE MODELS