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

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

1995-04-17

arxiv.org/abs/gr-qc/9504023v2

Class. Quant. Grav. 13 (1996) 2379

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

title changed, extended version

Scientific paper

10.1088/0264-9381/13/8/020

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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