Inequivalence of first- and second-order formulations in D=2 gravity models

Foundations of Physics 26 (5):617-621 (1996)
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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

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10.1007/bf02058235

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Would two dimensions be world enough for spacetime?Samuel C. Fletcher, J. B. Manchak, Mike D. Schneider & James Owen Weatherall - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 63:100-113.

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The mathematical theory of relativity.Arthur Stanley Eddington - 1930 - Cambridge [Eng.]: The University Press.

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