Asymptotic Conservation Laws in Field Theory

Local Cohomology in Field Theory

This is an introductory survey of the theory of p-form conservation laws in field theory. It is based upon a series of lectures given at the Second Mexican School on Gravitation and In these lectures I will provide a survey of some aspects of the theory of local coho-mology in field theory and provide some illustrative applications, primarily taken from the Einstein equations of the general the...

Asymptotic Conservation Laws in Classical Field Theory.

Conservation laws in the teleparallel theory with a positive cosmological constant

We study the conservation laws in the teleparallel theory with a positive cosmological constant, an extension of the teleparallel theory possessing solutions with de Sitter asymptotics. Demanding that the canonical generators of the asymptotic symmetry are well defined, we obtain their improved form, which defines the conserved charges of the theory. The physical interpretation of the results i...

2 00 8 Two types of conservation laws . Connection of physical fields with material systems . Peculiarities of field theories

Historically it happen so that in branches of physics connected with field theory and of physics of material systems (continuous media) the concept of ”conservation laws” has a different meaning. In field theory ”conservation laws” are those that claim the existence of conservative physical quantities or objects. These are conservation laws for physical fields. In contrast to that in physics (a...

Conservation laws in the teleparallel theory of gravity

We study the conservation laws associated with the asymptotic Poincaré symmetry of spacetime in the general teleparallel theory of gravity. Demanding that the canonical Poincaré generators have well defined functional derivatives in a properly defined phase space, we obtain the improved form of the generators, containing certain surface terms. These terms are shown to represent the values of th...