2 research outputs found
Towards a covariant canonical formulation for closed topological defects without boundaries
On the basis of the covariant description of the canonical formalism for
quantization, we present the basic elements of the symplectic geometry for a
restricted class of topological defects propagating on a curved background
spacetime. We discuss the future extensions of the present results.Comment: LaTeX, 12 pages, submitted to Phys. Lett. B. (2002
Local continuity laws on the phase space of Einstein equations with sources
Local continuity equations involving background fields and variantions of the
fields, are obtained for a restricted class of solutions of the
Einstein-Maxwell and Einstein-Weyl theories using a new approach based on the
concept of the adjoint of a differential operator. Such covariant conservation
laws are generated by means of decoupled equations and their adjoints in such a
way that the corresponding covariantly conserved currents possess some
gauge-invariant properties and are expressed in terms of Debye potentials.
These continuity laws lead to both a covariant description of bilinear forms on
the phase space and the existence of conserved quantities. Differences and
similarities with other approaches and extensions of our results are discussed.Comment: LaTeX, 13 page