The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential
arXiv:hep-th/0512168 · doi:10.1142/S0217732306019888
Abstract
Recently Kiriushcheva and Kuzmin claimed to have shown that the Einstein-Hilbert Lagrangian cannot be written in any coordinate gauge as an exact differential in a 2-dimensional spacetime. Since this is contrary to other statements on the subject found in the literature, as e.g., by Deser and Jackiw, Jackiw, Grumiller, Kummer and Vassilevich it is necessary to do decide who has reason. This is done in this paper in a very simply way using the Clifford bundle formalism. In this version we added Section 18 which discusses a recent comment on our paper just posted by Kiriushcheva and Kuzmin.
11 pages, Misprints in some equations have been corrected; four new references have been added, Section 18 added
References in corpus (5)
- A Canonical Approach to the Einstein-Hilbert Action in Two Spacetime Dimensions
- Energy-Momentum Tensor Improvements in Two Dimensions
- Peculiarities of the Canonical Analysis of the First Order Form of the Einstein-Hilbert Action in Two Dimensions in Terms of the Metric Tensor or the Metric Density
- Inequivalence of First and Second Order Formulations in D=2 Gravity Models
- An Ambiguous Statement Called 'Tetrad Postulate' and the Correct Field Equations Satisfied by the Tetrad Fields