Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

DOI10.1016/j.anihpc.2014.01.002zbMath1332.35358arXiv1207.2116OpenAlexW2074377421MaRDI QIDQ2347868

Yanyan Li

Publication date: 10 June 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2116

zbMATH Keywords

Einstein equationscenter manifold theoryexistence of Einstein constrained datainitial data contained inside the black hole

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Einstein equations (35Q76)

Related Items (2)

Sturm attractors for quasilinear parabolic equations ⋮ Symmetry-breaking bifurcations for free boundary problems modeling tumor growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Quasi-spherical metrics and prescribed scalar curvature
• Steady-state bifurcation with O(3)-symmetry
• Existence of maximal surfaces in asymptotically flat spacetimes
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Connecting orbits in scalar reaction diffusion equations. II: The complete solution
• The Cauchy problem in general relativity.
• Black hole initial data with a horizon of prescribed geometry
• Pattern selection with \(\mathrm{O}(3)\) symmetry
• Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• Locally invariant manifolds for quasilinear parabolic equations
• Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach
• Global bifurcation of periodic solutions with symmetry
• Singularities and groups in bifurcation theory. Volume II
• The existence of maximal slicings in asymptotically flat spacetimes
• The existence of non-trivial asymptotically flat initial data for vacuum spacetimes
• Center manifolds for quasilinear reaction-diffusion systems
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• Quasiconvex foliations and asymptotically flat metrics of non-negative scalar curvature
• Conley index at infinity
• Bifurcation from simple eigenvalues
• The Instability of Axisymmetric Solutions in Problems with Spherical Symmetry
• On the connectedness of the space of initial data for the Einstein equations
• On center manifolds
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Anisotropic Einstein data with isotropic non negative prescribed scalar curvature