First-order tetrad gravity in Dirac's Hamiltonian formalism

Journal Article · Thu Jul 15 00:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.352· OSTI ID:5121144

Castellani, L; van Nieuwenhuizen, P; Pilati, M

The Hamiltonian ..integral.. d/sup 3/x(pq-L) is constructed without adding further terms. The velocities e/sub i/a and omega-dot/sub i/ab are eliminated while e/sub o/a and omega-dot/sub o/ab remain arbitrary. The second-class constraints reduce the theory to second-order tetrad gravity. The first-class constraints differ from those in second-order formalism, but satisfy the same gauge algebra provided one uses Dirac brackets.

• Research Organization: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
• OSTI ID: 5121144
• Journal Information: Phys. Rev. D; (United States), Vol. 26:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SUPERGRAVITY
DIRAC EQUATION
HAMILTONIANS
CANONICAL TRANSFORMATIONS
GAUGE INVARIANCE
STRUCTURE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
TRANSFORMATIONS
WAVE EQUATIONS
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