Time-dependent solutions of 2+1 gravity
Abstract
Time-dependent solutions of 2+1 gravity are found for N particles on a sphere with g handles. The theory is reduced to a constrained Hamiltonian system with a finite number of global observables. These include three-vectors that give the spacetime position of each particle, and others that are related to the Teichm\"uller parameters. With these global observables, the dynamical equations (${\mathit{d}}^{2}$${\mathit{x}}^{\mathit{i}}$${\mathit{dt}}^{2}$=0) decouple. The cases of the torus and uniformly expanding sphere with N sources are shown to agree with solutions from the metric formulation.
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A related first-order Hamiltonian lattice model has been studied by Waelbroeck et al.
“A related first-order Hamiltonian lattice model has been studied by Waelbroeck et al. [266, 267, 268, 270].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [267]
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Waelbroeck, H.
- Affiliations
- The University of Texas at Austin (US)
- Corresponding author
- Waelbroeck, Henri
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1990-05-07
- Volume
- 64
- Issue
- 19
- Pages
- 2222-2225
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1968063654
- Cited by
- 15
- References
- 0
- FWCI
- 1.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- three-dimensional gravity, time-dependent solutions, constrained Hamiltonian systems, global observables, torus, metric formulation
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