Homogeneous \((2+1)\)-dimensional gravity in the Ashtekar formulation

DOI10.1016/0550-3213(98)00500-8zbMath0925.83017arXivgr-qc/9507044OpenAlexW2172055069MaRDI QIDQ1901446

Madhavan Varadarajan, Fernando J. Barbero G.

Publication date: 15 November 1995

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9507044

zbMATH Keywords

geometryAshtekar formulationconstraint hypersurfacehomogeneous reduction

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items

Analogue gravity, The Einstein-Vlasov system/kinetic theory, Quantum gravity in \(2+1\) dimensions: the case of a closed universe

Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• Geometrodynamics vs. connection dynamics
• The phase space of \((2+1)\)-dimensional gravity in the Ashtekar formulation
• Canonical Quantization of Cylindrical Gravitational Waves
• The solution space of 2 + 1 gravity on in Witten's connection formulation
• A Method for Generating Solutions of Einstein's Equations