Palatini Variational Principle for an Extended Einstein-Hilbert Action

Details Palatini Variational Principle for an Extended Einstein-Hilbert Action Palatini Variational Principle for an Extended Einstein-Hilbert Action

1997-11-03

arxiv.org/abs/gr-qc/9711003v1

Phys.Rev. D57 (1998) 4754-4759

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX

Scientific paper

10.1103/PhysRevD.57.4754

We consider a Palatini variation on a generalized Einstein-Hilbert action. We find that the Hilbert constraint, that the connection equals the Christoffel symbol, arises only as a special case of this general action, while for particular values of the coefficients of this generalized action, the connection is completely unconstrained. We discuss the relationship between this situation and that usually encountered in the Palatini formulation.

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