Inequivalence of First and Second Order Formulations in D=2 Gravity Models
General Relativity and Quantum Cosmology
2009-11-19 v2
Abstract
The usual equivalence between the Palatini and metric (or affinity and vielbein) formulations of Einstein theory fails in two spacetime dimensions for its "Kaluza--Klein" reduced (as well as for its standard) version. Among the differences is the necessary vanishing of the cosmological constant in the first order forms. The purely affine Eddington formulation of Einstein theory also fails here.
Keywords
Cite
@article{arxiv.gr-qc/9512022,
title = {Inequivalence of First and Second Order Formulations in D=2 Gravity Models},
author = {S. Deser},
journal= {arXiv preprint arXiv:gr-qc/9512022},
year = {2009}
}
Comments
6 pages; Minor changes in text and references