How solvable is (2+1)-dimensional Einstein gravity?

DOI10.1063/1.528950zbMath0732.53069OpenAlexW2023384735MaRDI QIDQ3357856

Vincent E. Moncrief

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528950

zbMATH Keywords

synthesisHamiltonian approachEinstein equationsWilson loopsWitten's approach

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) PDEs in connection with relativity and gravitational theory (35Q75)

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Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Homothetic and conformal symmetries of solutions to Einstein's equations
• Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space