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

Mathias Pillin
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Abstract

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.

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Mathias Pillin. 1996-12-17. Selfdual 2-form formulation of gravity and classification of energy-momentum tensors. https://doi.org/10.1088/0264-9381%2F13%2F8%2F020

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