Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes

DOI10.1007/s10714-017-2295-7zbMath1380.83031OpenAlexW2754829195MaRDI QIDQ1694160

Daniel de la Fuente, Rafael M. Rubio, Juan Jesús Salamanca

Publication date: 1 February 2018

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10396/21557

zbMATH Keywords

generalized Robertson-Walker spacetimestationary spacetimeinfinitesimal conformal symmetrypp-wave spacetimestable maximal hypersurfaces

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) PDEs in connection with relativity and gravitational theory (35Q75) Gravitational waves (83C35)

Related Items (3)

Stable maximal hypersurfaces in Lorentzian spacetimes ⋮ Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ Area maximizing surfaces in Lorentzian spaces

Cites Work

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