Showing papers on "Superpotential published in 1978"

The Use of Exterior Forms in Einstein's Gravitation Theory

Abstract: We use Cartan l s calculus to reformulate t he general variational principle and conservation laws in terms of exterior forms. In applying this method to Einstein's gravitation theory, we do not o nly benefit from the great economy of Cartanls formal ism but also gain a deeper understandi ng of fundamental resul ts a1 ready knoQn. So the e xi stence of superpotential - forms may be deduced from dod E O and as a consequence the vanishing of total energy and momentum in a closed universe is af firmed in a more general way. Simple expressions for the sundry superpotentials are obtained quite naturally. As a byproduct, Einstein's equations are r ewritten in a form where the coderivative of a2-form(the superpotential - form) is a current, and therefore resembles the inhomogeneous Maxwell equations. In passing f rom the Lagrangian to theHamiltonian 4-form, we immediately enter the ADM formal ism wi thout lengthy calculations.