Abstract
The usual equivalence between the Palalini 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
U. Lindström and M. Roček,Class. Quant. Grav. 4, L. 79 (1987); J Gegenberg, P. F. Kelly, R. B. Mann, and D. Vincent,Phys. Rev. D 37, 3463 (1988); M. Ferraris, M. Francaviglia. and I. Volovich, GR-QC/9302037,Nuovo Cim. B108, 1313 (1993).
R. Jackiw, C. Teitelboim, inQuantum Theory of Gravity, S. Christensen, ed. (A. Hilger, Bristol, 1984).
A. S. EddingtonThe Mathematical Theory of Relativity (Cambridge University Press, Cambridge, 1923).
S. Deser, J. McCarthy, and Z. Yang,Phys. Lett. B 222, 61 (1989).
Author information
Authors and Affiliations
Additional information
The present results were reported in the Proceedings of the Markov Memorial Quantum Gravity Seminar.
This work was supported bt the NSF under grant #PHY-9315811.
Rights and permissions
About this article
Cite this article
Deser, S. Inequivalence of first- and second-order formulations in D=2 gravity models. Found Phys 26, 617–621 (1996). https://doi.org/10.1007/BF02058235
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02058235