On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions

Details On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions

2005-10-30

arxiv.org/abs/hep-th/0510260v1

Mod.Phys.Lett.A21:899-906,2006

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1142/S0217732306020202

It is shown that the well-known triviality of the Einstein field equations in two dimensions is not a sufficient condition for the Einstein-Hilbert action to be a total divergence, if the general covariance is to be preserved, that is, a coordinate system is not fixed. Consequently, a Hamiltonian formulation is possible without any modification of the two dimensional Einstein-Hilbert action. We find the resulting constraints and the corresponding gauge transfromations of the metric tensor.

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