Complete spacelike hypersurfaces in orthogonally splitted spacetimes
Sign Up to like & getrecommendations! Published in 2017 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-017-2294-8
Abstract: We provide some “half-space theorems” for spacelike complete non-compact hypersurfaces into orthogonally splitted spacetimes. In particular we generalize some recent work of Rubio and Salamanca on maximal spacelike compact hypersurfaces. Beside compactness, we also relax… read more here.
Keywords: complete spacelike; splitted spacetimes; hypersurfaces orthogonally; orthogonally splitted ... See more keywords
Complete spacelike hypersurfaces on symmetric spacetimes
Sign Up to like & getrecommendations! Published in 2020 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ab6f81
Abstract: A Lorentz manifold is said to be a conformally stationary spacetime if it is endowed with a globally defined conformal timelike vector field K, whereas it is a pp-wave when there is a globally defined… read more here.
Keywords: complete spacelike; symmetric spacetimes; vector field; spacelike hypersurfaces ... See more keywords