On uniqueness of the foliation by comoving observers restspaces of a generalized Robertson-Walker spacetime

DOI10.1007/s10714-016-2183-6zbMath1358.83104arXiv1902.08776OpenAlexW3100741373MaRDI QIDQ520101

José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio

Publication date: 3 April 2017

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

Full work available at URL: https://arxiv.org/abs/1902.08776

zbMATH Keywords

generalized Robertson-Walker spacetimeCalabi-Bernstein type resultentire spacelike graph with prescribed mean curvaturefoliation by spacelike hypersurfacesnonlinear elliptic problem in divergence form

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Elliptic equations on manifolds, general theory (58J05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12)

Related Items (9)

Spacelike hypersurfaces in spatially parabolic standard static spacetimes and Calabi-Bernstein-type problems ⋮ Chen inequalities on spacelike hypersurfaces of a GRW spacetime ⋮ Spacelike hypersurfaces in twisted product spacetimes with complete fiber and Calabi-Bernstein-type problems ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ A Note on Spacelike Hypersurfaces and Timelike Conformal Vectors ⋮ From holography to the geometry of the spacetime ⋮ Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ Calabi-Bernstein type results for complete constant mean curvature spacelike hypersurfaces in spatially open generalized Robertson-Walker spacetimes ⋮ Constant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A nonlinear inequality arising in geometry and Calabi-Bernstein type problems
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• H-surfaces in Lorentzian manifolds
• The structure of the space of solutions of Einstein's equations. II: Several Killing fields and the Einstein-Yang-Mills equations
• Isolated maximal surfaces in spacetime
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• On the proof of the positive mass conjecture in general relativity
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems
• Hypersurfaces of prescribed mean curvature in Lorentzian manifolds
• Uniqueness of complete maximal hypersurfaces in spatially open \((n+1)\)-dimensional Robertson-Walker spacetimes with flat fiber
• Spacelike graphs of finite total curvature in certain 3-dimensional generalized Robertson-Walker spacetime
• Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space
• Ground state solution for a problem with mean curvature operator in Minkowski space
• Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
• On maximal hypersurfaces in Lorentz manifolds admitting a parallel lightlike vector field
• A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
• From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity
• Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces
• General Relativity for Mathematicians
• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
• NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• Spacelike hypersurfaces with constant mean curvature in the steady state space

This page was built for publication: On uniqueness of the foliation by comoving observers restspaces of a generalized Robertson-Walker spacetime