Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 12, Issue 4, Pages 677-687Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021827180300313X
Keywords
gravity theory; topological solution; conical singularity
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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 axe 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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