Big-bang limit of 2 + 1 gravity and Thurston boundary of Teichmüller space
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Publication:6064810
DOI10.1063/5.0136631arXiv2002.03551OpenAlexW4388224858MaRDI QIDQ6064810
Publication date: 11 December 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.03551
Applications of differential geometry to physics (53Z05) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Teichmüller theory for Riemann surfaces (30F60)
Cites Work
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- Einstein spaces as attractors for the Einstein flow
- Quadratic differentials and foliations
- \(2+1\)-dimensional gravity as an exactly soluble system
- Constant mean curvature foliations of simplicial flat spacetimes
- Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups
- The Teichmüller theory of harmonic maps
- 2+1 gravity for genus \(>1\)
- Harmonic maps, length, and energy in Teichmüller space
- On the global evolution problem in \(2+1\) gravity
- Rise of complexity, 1953--2002
- Could the universe have an exotic topology?
- Asymptotics of the Teichmüller harmonic map flow
- The Schwarzian derivative and measured laminations on Riemann surfaces
- Future complete Einsteinian space times with isometry group
- Thurston's Work on Surfaces (MN-48)
- Measuring the metric in (2+1)-dimensional quantum gravity
- Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space
- Families of Riemann surfaces and Weil-Petersson geometry
- Distribution of intersection lengths of a random geodesic with a geodesic lamination
- The Weil-Petersson metric geometry
- A New Proof that Teichmuller Space is a Cell
- Asymptotic behaviour in polarized and half-polarized U (1) symmetric vacuum spacetimes
- Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
- The Einstein flow, the sigma-constant and the geometrization of 3-manifolds
- North–South dynamics of hyperbolic free group automorphisms on the space of currents
- A fully nonlinear equation in relativistic Teichmüller theory
- Hamiltonian reduction of Einstein's equations of general relativity
- Cosmological time in (2+1)-gravity
- Future global in time Einsteinian spacetimes with \(U(1)\) isometry group