2+1 gravity, chaos and time machines

DOI10.1063/1.1378302zbMath1009.83034arXivgr-qc/0012018OpenAlexW3103863166WikidataQ62561543 ScholiaQ62561543MaRDI QIDQ2774984

Ingemar Bengtsson, Johan Brännlund

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0012018

zbMATH Keywords

chaosCauchy horizontime machines\(2+ 1\) gravityBianchi IX models

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Analogues of general relativity in lower dimensions (83C80)

Cites Work

• Non-euclidean geometry, continued fractions, and ergodic theory
• On the global evolution problem in \(2+1\) gravity
• Slicing, threading and parametric manifolds
• Teichmuller Motion of (2+1)-Dimensional Gravity with the Cosmological Constant
• Test fields on compact space-times
• Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space
• The solution space of 2 + 1 gravity on in Witten's connection formulation
• On the relation between 2+1 Einstein gravity and Chern-Simons theory
• (2+1)-dimensional pure gravity for an arbitrary closed initial surface
• de Sitter space and spatial topology
• A Metrically Transitive Group Defined by the Modular Groups

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