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arXiv · 1409.7197

Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity

Soumendranath Ruz·Ranajit Mandal·Subhra Debnath·Abhik Kumar Sanyal
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Abstract

The Hamiltonian constraint Hc = NH = 0, defines a diffeomorphic structure on spatial manifolds by the lapse function N in general theory of relativity. However, it is not manifest in Lanczos-Lovelock gravity, since the expression for velocity in terms of the momentum is multivalued. Thus the Hamiltonian is a branch function of momentum. Here we propose an extended theory of Lanczos-Lovelock gravity to construct a unique Hamiltonian in its minisuperspace version, which results in manifest diffeomorphic invariance and canonical quantization.

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Soumendranath Ruz, Ranajit Mandal, Subhra Debnath, Abhik Kumar Sanyal. 2014-09-25. Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity. https://doi.org/10.1007/s10714-016-2080-z

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