Extension of the York Field Decomposition to General Gravitationally Coupled Fields

Isenberg, J.A.; Nester, J.M.

doi:10.1016/0003-4916(77)90017-3

Extension of the York Field Decomposition to General Gravitationally Coupled Fields

J.A. Isenberg
(
- Maryland U.
)
,
J.M. Nester
(
- Maryland U.
)

1977

19 pages

Published in:

Annals Phys. 108 (1977) 368-386

DOI:

10.1016/0003-4916(77)90017-3

View in:

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Abstract: (Elsevier)

We extend the York decomposition analysis of the initial value constraints to general gravitationally coupled classical field theories. The decomposition is found to be particularly useful in solving the constraint equations for all theories of current physical interest. These include Einstein gravity or Einstein-Cartan (torsion) gravity coupled to the massive or massless version of the following: general scalar (including Klein-Gordon, Brans-Dicke, and Higgs), Dirac spin 1/2, Maxwell (Proca) and Yang-Mills (any gauge group). We show in detail how the program works for the general Yang-Mills field and for the Einstein-Cartan-Proca field.

FIELD THEORY: CLASSICAL
GRAVITATION
FIELD THEORETICAL MODEL: YANG-MILLS
FIELD THEORY: MASSLESS
general relativity
SCALING