Remarks on the Reduced Phase Space of (2+1)-Dimensional Gravity on a Torus in the Ashtekar Formulation

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dc.creatorMikovic, A.
dc.creatorManojlovic, N.
dc.date1997-12-02
dc.date1998-05-05
dc.date.accessioned2026-07-07T12:30:38Z
dc.date.available2026-07-07T12:30:38Z
dc.descriptionWe examine the reduced phase space of the Barbero-Varadarajan solutions of the Ashtekar formulation of (2+1)-dimensional general relativity on a torus. We show that it is a finite-dimensional space due to existence of an infinite dimensional residual gauge invariance which reduces the infinite-dimensional space of solutions to a finite-dimensional space of gauge-inequivalent solutions. This is in agreement with general arguments which imply that the number of physical degrees of freedom for (2+1)-dimensional Ashtekar gravity on a torus is finite.
dc.description13 pages, Latex. More details have been included and the expression for the finite residual gauge transformations has been worked out
dc.identifierhttps://arxiv.org/abs/gr-qc/9712011
dc.identifierhttp://arxiv.org/abs/gr-qc/9712011
dc.identifierClass.Quant.Grav.15:3031-3039,1998
dc.identifierdoi:10.1088/0264-9381/15/10/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216188
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRemarks on the Reduced Phase Space of (2+1)-Dimensional Gravity on a Torus in the Ashtekar Formulation
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