Sharp asymptotics for Einstein-\({\lambda}\)-dust flows
DOI10.1007/s00220-016-2716-6zbMath1360.83008arXiv1601.04506OpenAlexW3106123519WikidataQ59529456 ScholiaQ59529456MaRDI QIDQ514312
Publication date: 1 March 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.04506
compact 3-manifoldenergy densitypositive cosmological constantCauchy dataEinstein-\({\lambda}\)-dust flowEinstein-dust equationFLRW solutionfuture time-like infinitynon-linear perturbationssharp asymptoticsspace-like conformal boundary
Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) General geometric structures on low-dimensional manifolds (57M50) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)
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Cites Work
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- Smooth non-zero rest-mass evolution across time-like infinity
- Future stability of the Einstein-non-linear scalar field system
- On the hyperbolicity of Einstein's and other gauge field equations
- Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Conformal geodesics on vacuum space-times
- Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
- A conformal approach for the analysis of the non-linear stability of radiation cosmologies
- The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant
- Investigations of solutions of Einstein's field equations close to λ-Taub–NUT
- Zero rest-mass fields including gravitation: asymptotic behaviour
- The Large Scale Structure of Space-Time