Collapsing in the Einstein flow
From MaRDI portal
Publication:2413542
DOI10.1007/s00023-018-0685-3zbMath1400.83008arXiv1701.05150OpenAlexW2581305192MaRDI QIDQ2413542
Publication date: 14 September 2018
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05150
Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75)
Related Items
Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry ⋮ On the initial geometry of a vacuum cosmological spacetime ⋮ Kasner-like regions near crushing singularities * ⋮ Stability within \(T^2\)-symmetric expanding spacetimes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The ground state and the long-time evolution in the CMC Einstein flow
- Long-time behavior of 3-dimensional Ricci flow: introduction
- Collapsing Riemannian manifolds while keeping their curvature bounded. II
- On curvature decay in expanding cosmological models
- Dimensional reduction and the long-time behavior of Ricci flow
- Local foliations and optimal regularity of Einstein spacetimes
- Homothetic and conformal symmetries of solutions to Einstein's equations
- Collapsing Riemannian manifolds while keeping their curvature bounded. I
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Global foliations of vacuum spacetimes with \(T^2\) isometry
- A remark on locally homogeneous Riemannian spaces
- Scalar curvature, metric degenerations and the static vacuum Einstein equations on 3-manifolds. I
- Instability of spatially homogeneous solutions in the class of \(\mathbb T^2\)-symmetric solutions to Einstein's vacuum equations
- The long-time behavior of the Ricci tensor under the Ricci flow
- Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments
- On the long-time behavior of type-III Ricci flow solutions
- Initial data engineering
- Harmonic functions on complete riemannian manifolds
- Future asymptotic expansions of Bianchi VIII vacuum metrics
- Hamiltonian reduction and perturbations of continuously self-similar ( n 1)-dimensional Einstein vacuum spacetimes
- A Compactness Property for Solutions of the Ricci Flow
- The Geometries of 3-Manifolds
- Dynamical Systems in Cosmology
- Future global in time Einsteinian spacetimes with \(U(1)\) isometry group
- On long-time evolution in general relativity and geometrization of 3-manifolds
