Dynamical structure of the Einstein-Cartan-Sciama-Kibble theory of gravity

Journal Article · Sat Dec 01 04:00:00 EST 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90122-2· OSTI ID:6085843

Szczyrba, W

It is shown that in the SO(3)-convariant Hamiltonian formulation the system of the ECSK equations can be reduced to 7 gravitational constraints, 18 gravitational dynamical equations, and a system of matter field equations. The geometric meaning of the canonical (symplectic) and gauge variables is also explained. Moreover, a general method of how to analyse degenerate matter field lagrangians in the framework of the ECSK theory is discussed. The exposition is given in the language of SO(3)-covariant differential operators on 3-dimensional slices of spacetime.

• Research Organization: Institute of Mathematics, Polish Academy of Sciences, ul.Sniadeckich 8, 00-950 Warsaw, Poland
• OSTI ID: 6085843
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 158:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONSERVATION LAWS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SO GROUPS
SO-3 GROUPS
SPACE-TIME
SPINORS
SYMMETRY GROUPS
TENSORS