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- Title
On uniqueness of the foliation by comoving observers restspaces of a Generalized Robertson-Walker spacetime.
- Authors
Pelegrín, José; Romero, Alfonso; Rubio, Rafael
- Abstract
A characterization of the foliation by spacelike slices of an $$(n+1)$$ -dimensional spatially closed Generalized Robertson-Walker spacetime is given by means of studying a natural mean curvature type equation on spacelike graphs. Under some natural assumptions, of physical or geometric nature, all the entire solutions of such an equation are obtained. In particular, the case of entire spacelike graphs in de Sitter spacetime is faced and completely solved by means of a new application of a known integral formula.
- Subjects
UNIQUENESS (Mathematics); FOLIATIONS (Mathematics); TOPOLOGY; GRAPH theory; INTEGRALS
- Publication
General Relativity & Gravitation, 2017, Vol 49, Issue 2, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-016-2183-6