scholarly journals Some global solutions of the Yang-Mills equations in Minkowski space

1981 ◽  
Vol 81 (2) ◽  
pp. 171-187 ◽  
Author(s):  
Robert T. Glassey ◽  
Walter A. Strauss
Keyword(s):  
Minkowski Space ◽  
Global Solutions ◽  
Yang Mills

scholarly journals A MAXWELL-LIKE FORMULATION OF GRAVITATIONAL THEORY IN MINKOWSKI SPACE–TIME

2007 ◽  
Vol 16 (06) ◽  
pp. 1027-1041 ◽  
Author(s):  
EDUARDO A. NOTTE-CUELLO ◽  
WALDYR A. RODRIGUES
Keyword(s):  
Gravitational Field ◽  
Minkowski Space ◽  
Gravitational Theory ◽  
Space Time ◽  
Lorentzian Geometry ◽  
Field Equations ◽  
Yang Mills ◽  
Minkowski Space Time ◽  
Clifford Bundle ◽  
Gauge Fixing

Using the Clifford bundle formalism, a Lagrangian theory of the Yang–Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski space–time is presented. It is shown how two simple hypotheses permit the interpretation of the formalism in terms of effective Lorentzian or teleparallel geometries. In the case of a Lorentzian geometry interpretation of the theory, the field equations are shown to be equivalent to Einstein's equations.

scholarly journals Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations

1993 ◽  
Vol 151 (2) ◽  
pp. 303-325 ◽  
Author(s):  
J. A. Smoller ◽  
A. G. Wasserman
Keyword(s):  
Global Solutions ◽  
Yang Mills

scholarly journals Regularity of constraints in the Minkowski space Yang-Mills theory

1991 ◽  
Vol 141 (3) ◽  
pp. 593-597 ◽  
Author(s):  
Jędrzej Śniatycki
Keyword(s):  
Minkowski Space ◽  
Yang Mills
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