10 citations · 42 across the 8 of their papers we have counts for
8 papers
Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes
José A. S. Pelegrín
In this article we obtain new rigidity results for spacelike submanifolds of arbitrary codimension in Generalized Robertson-Walker spacetimes. Namely, under appropriate assumptions…
Maximal hypersurfaces in Robertson-Walker spacetimes
José A. S. Pelegrín
In this work we study maximal hypersurfaces in spatially open Generalized Robertson-Walker spacetimes with Ricci-flat fiber by means of a generalized maximum principle. In particul…
A note on spacelike hypersurfaces and timelike conformal vectors
Giulio Colombo, José A. S. Pelegrín, Marco Rigoli
Any compact spacelike hypersurface immersed in a doubly warped product spacetime with nondecreasing warping factor must be a spacelike slice, prov…
Constant mean curvature spacelike hypersurfaces in spatially open GRW spacetimes
José A. S. Pelegrín, Marco Rigoli
In this paper we provide under certain geometric and physical assumptions new uniqueness and non-existence results for complete spacelike hypersurfaces of constant mean curvature i…
From holography to the geometry of the spacetime
José A. S. Pelegrín
We show the geometric consequences that the holographic principle has on the spacetime. Namely, we prove that complete spacelike hypersurfaces in a spacetime that satisfies the hol…
On uniqueness of the foliation by comoving observers restspaces of a Generalized Robertson Walker spacetime
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
A characterization of the foliation by spacelike slices of an -dimensional spatially closed Generalized Robertson-Walker spacetime is given by means of studying a natural me…
Spacelike hypersurfaces in standard static spacetimes
Giulio Colombo, José A. S. Pelegrín, Marco Rigoli
In this work we study spacelike hypersurfaces immersed in spatially open standard static spacetimes with complete spacelike slices. Under appropriate lower bounds on the Ricci curv…
Uniqueness of complete maximal hypersurfaces in spatially open -dimensional Robertson-Walker spacetimes with flat fiber
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
In this paper, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-W…