The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential

Details The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential

2005-12-14

arxiv.org/abs/hep-th/0512168v7

Mod.Phys.Lett.A21:1519-1528,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Misprints in some equations have been corrected; four new references have been added, Section 18 added

Scientific paper

10.1142/S0217732306019888

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.

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