On uniqueness of the foliation by comoving observers restspaces of a Generalized Robertson–Walker spacetime
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- 作者：José A. S. Pelegrín ; Alfonso Romero ; Rafael M. Rubio
- 关键词：Generalized Robertson–Walker spacetime ; Foliation by spacelike hypersurfaces ; Nonlinear elliptic problem in divergence form ; Calabi–Bernstein type result ; Entire spacelike graph with prescribed mean curvature
- 刊名：General Relativity and Gravitation
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：49
- 期：2
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory; Differential Geometry; Astronomy, Astrophysics and Cosmology; Quantum Physics;
- 出版者：Springer US
- ISSN：1572-9532
- 卷排序：49
文摘
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.