Dynamical Constraints in the Nonsymmetric Gravitational Theory

Abstract

We impose in the nonsymmetric gravitational theory, by means of Lagrange multiplier fields in the action, a set of covariant constraints on the antisymmetric tensor field. The canonical Hamiltonian constraints in the weak field approximation for the antisymmetric sector yield a Hamiltonian energy bounded from below. An analysis of the Cauchy evolution, in terms of an expansion of the antisymmetric sector about a symmetric Einstein background, shows that arbitrarily small antisymmetric Cauchy data can lead to smooth evolution.

10 pages LaTex. Minor revisions. Results remain the same

References in corpus (2)

• Linearisation Instabilities of the Massive Nonsymmetric Gravitational Theory
• Nonsymmetric Gravitational Theory as a String Theory

Cited by in corpus (6)

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• Linearisation Instabilities of the Massive Nonsymmetric Gravitational Theory
• Nonassociative geometry of nonholonomic phase spaces with star R-flux string deformations and (non) symmetric metrics
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles
• Cosmological Models in the Nonsymmetric Gravitational Theory