Inequivalence of First and Second Order Formulations in D=2 Gravity Models

Preprint

11 December 1995

preprint
Published by arXiv in arXiv

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

ORDER FORMULATIONS
USUAL EQUIVALENCE
EINSTEIN THEORY
GRAVITY MODELS
INEQUIVALENCE
AFFINE
MODELS

All Related Versions

Version 1, 1995-12-11, ArXiv
Version 2, 1995-12-18, ArXiv
Published version: Foundations of Physics, 26 (5), 617.

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