Hamiltonian dynamics of an exotic action for gravity in three dimensions

Journal Article · Tue Apr 15 04:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.01.010· OSTI ID:22314784

Escalante, Alberto

The Hamiltonian dynamics and the canonical covariant formalism for an exotic action in three dimensions are performed. By working with the complete phase space, we report a complete Hamiltonian description of the theory such as the extended action, the extended Hamiltonian, the algebra among the constraints, the Dirac’s brackets and the correct gauge transformations. In addition, we show that in spite of exotic action and tetrad gravity with a cosmological constant give rise to the same equations of motion, they are not equivalent, in fact, we show that their corresponding Dirac’s brackets are quite different. Finally, we construct a gauge invariant symplectic form which in turn represents a complete Hamiltonian description of the covariant phase space. -- Highlights: •We report a detailed Hamiltonian analysis for an exotic action of gravity. •We show that Palatini and exotic actions are not equivalent. •The exotic action is a non-commutative theory. •The fundamental gauge transformations of the theory are Λ-deformed Poincaré transformations. •A Lorentz and gauge invariant symplectic two-form is constructed.

• OSTI ID: 22314784
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: Complete Vol. 343; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACTION INTEGRAL
ALGEBRA
COSMOLOGICAL CONSTANT
EQUATIONS OF MOTION
GAUGE INVARIANCE
GRAVITATION
HAMILTONIANS
LIMITING VALUES
LORENTZ INVARIANCE
PHASE SPACE
TRANSFORMATIONS