Selfdual 2-form formulation of gravity and classification of energy-momentum tensors

Mathias Pillin

Published 1995-04-17, updated 1996-12-17Version 2

It is shown how the different irreducibility classes of the energy-momentum tensor allow for a Lagrangian formulation of the gravity-matter system using a selfdual 2-form as a basic variable. It is pointed out what kind of difficulties arise when attempting to construct a pure spin-connection formulation of the gravity-matter system. Ambiguities in the formulation especially concerning the need for constraints are clarified.