Linearization stability of gravitational and gauge fields

Journal Article · Thu Mar 01 04:00:00 EST 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524094· OSTI ID:6385078

Arms, J M

Conditions are given for the linearization stability of the Yang--Mills and the Einstein--Yang--Mills equations on a spacetime with a compact Cauchy surface. There are sufficient conditions on the Cauchy surface, and necessary and sufficient conditions on the spacetime; the latter are identified with global infinitesimal symmetries of the principal fiber bundle associated with the Yang--Mills (gauge) field. For each system a splitting theorem for the initial data is given and the Cauchy problem is discussed.

• Research Organization: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
• OSTI ID: 6385078
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CAUCHY PROBLEM
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL FIELDS
HAMILTONIANS
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SPACE-TIME
STABILITY
SYMMETRY GROUPS
YANG-MILLS THEORY