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

N. Kiriushcheva·S. V. Kuzmin
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Abstract

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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N. Kiriushcheva, S. V. Kuzmin. 2005-10-30. On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions. https://doi.org/10.1142/s0217732306020202

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