Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity
| Autor: | Ruz, Soumendranath, Mandal, Ranajit, Debnath, Subhra, Sanyal, Abhik Kumar |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | General Relativity and Gravitation, 48(7), (2016) 1-28 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10714-016-2080-z |
| Popis: | 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. Comment: 18 pages |
| Databáze: | arXiv |
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