Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
Topological solutions in the (2+1)-dimensional Einstein theory of gravity are studied within the ADM canonical formalism. It is found that a conical singularity appears in the closed de Sitter universe solution as a topological defect in the case of the Einstein theory with a cosmological constant. Quantum effects on the conical singularity are studied using the de Broglie-Bohm interpretation. Finite quantum tunneling effects are obtained for the closed de Sitter universe, while no quantum effects are obtained for an open universe.
Keywords
Cite
@article{arxiv.gr-qc/0206049,
title = {Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism},
author = {M. Kenmoku and S. Uchida and T. Matsuyama},
journal= {arXiv preprint arXiv:gr-qc/0206049},
year = {2009}
}
Comments
15 pages, 3 figures