Instability of spatially homogeneous solutions in the class of \(\mathbb T^2\)-symmetric solutions to Einstein's vacuum equations

DOI10.1007/s00220-014-2258-8zbMath1310.83028OpenAlexW1989718782MaRDI QIDQ2258030

Hans Ringström

Publication date: 2 March 2015

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

Full work available at URL: https://doi.org/10.1007/s00220-014-2258-8

zbMATH Keywords

instabilitycosmologyspatially homogeneous solutionsEinstein's vacuum equationsinitial perturbationfuture asymptotics

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein equations (35Q76)

Related Items

Future global nonlinear stability of surface symmetric solutions of the Einstein–Vlasov system with a cosmological constant, Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes, Collapsing in the Einstein flow, Backreaction in the future behavior of an expanding vacuum spacetime, Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry, Stability within \(T^2\)-symmetric expanding spacetimes

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