Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity
High Energy Physics - Theory
2016-06-14 v3
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.
Keywords
Cite
@article{arxiv.1409.7197,
title = {Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity},
author = {Soumendranath Ruz and Ranajit Mandal and Subhra Debnath and Abhik Kumar Sanyal},
journal= {arXiv preprint arXiv:1409.7197},
year = {2016}
}
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18 pages