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

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

1995-12-11

arxiv.org/abs/gr-qc/9512022v2

Found of phys 26 617(1996)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages; Minor changes in text and references

Scientific paper

10.1007/BF02058235

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.

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