Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism

Details Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism

2002-06-18

arxiv.org/abs/gr-qc/0206049v1

Int.J.Mod.Phys. D12 (2003) 677-687

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 3 figures

Scientific paper

10.1142/S021827180300313X

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.

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