Palatini Variational Principle for an Extended Einstein-Hilbert Action
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/9711003,
title = {Palatini Variational Principle for an Extended Einstein-Hilbert Action},
author = {H. Burton and R. B. Mann},
journal= {arXiv preprint arXiv:gr-qc/9711003},
year = {2009}
}
Comments
14 pages, LaTeX