On new variational principles as alternatives to the Palatini method

Details On new variational principles as alternatives to the Palatini method On new variational principles as alternatives to the Palatini method

2011-03-14

arxiv.org/abs/1103.2743v2

Phys.Rev.D83:101501,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, V2: minor typos corrected, to appear in PRD as a Rapid Communication

Scientific paper

10.1103/PhysRevD.83.101501

A variational principle was recently suggested by Goenner, where an independent metric generates the spacetime connection. It is pointed out here that the resulting theory is equivalent to the usual Palatini theory. However, a bimetric reformulation of the variational principle leads to theories which are physically distinct from both the metric and the metric-affine ones, even for the Einstein-Hilbert action. They are obtained at a decoupling limit of C-theories, which contain also other viable generalizations of the Palatini theories.

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