CONICAL SINGULAR SOLUTIONS IN (2+1)-DIMENSIONAL GRAVITY EMPLOYING THE ADM CANONICAL FORMALISM

2002/06/18 by M. Kenmoku, MASAKATSU KENMOKU, S. Uchida +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1142/s021827180300313x

published as Int.J.Mod.Phys. D12 (2003) 677-687 · 15 pages, 3 figures

arxiv created 2002/06/18 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 expanding 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.

Citations

• Black hole in three-dimensional spacetime
• Stability of gravity with a cosmological constant
• 2 + 1 dimensional gravity as an exactly soluble system
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Microscopic Origin of the Bekenstein-Hawking Entropy