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

M. Kenmoku·S. Uchida·T. Matsuyama
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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.

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M. Kenmoku, S. Uchida, T. Matsuyama. 2002-06-18. Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism. https://doi.org/10.1142/s021827180300313x

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