Spatial and Lorentzian surfaces in Robertson-Walker space times

DOI10.1063/1.2748616zbMath1144.81324OpenAlexW2026035749MaRDI QIDQ3529818

Joeri Van der Veken, Bang-Yen Chen

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1063/1.2748616

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (13)

Quasi-minimal surfaces of pseudo-Riemannian space forms with positive relative nullity ⋮ Chen inequalities on spacelike hypersurfaces of a GRW spacetime ⋮ Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space ⋮ Classification of marginally trapped Lorentzian flat surfaces in \(\mathbb E^4_2\) and its application to biharmonic surfaces ⋮ Reflections on some research work of Bang-Yen Chen ⋮ Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms ⋮ Screw invariant marginally trapped surfaces in Minkowski 4-space ⋮ On null submanifolds of generalized Robertson–Walker space forms ⋮ Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension ⋮ Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group ⋮ Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms ⋮ An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space ⋮ MARGINALLY TRAPPED MERIDIAN SURFACES OF PARABOLIC TYPE IN THE FOUR-DIMENSIONAL MINKOWSKI SPACE

Cites Work

• Homothetic and conformal symmetries of solutions to Einstein's equations
• Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
• Gradient conformal Killing vectors and exact solutions
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• On the geometry of generalized Robertson-Walker spacetimes: geodesics.
• Complex analysis, maximal immersions and metric singularities
• Marginally trapped surfaces in Lorentzian space forms with positive relative nullity
• Spacelike hypersurfaces of constant mean curvature in certain spacetimes
• On the Gaussian curvature of maximal surfaces in n -dimensional generalized Robertson - Walker spacetimes
• Gravitational Collapse and Space-Time Singularities
• The Large Scale Structure of Space-Time

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