Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894193 | Journal of Geometry and Physics | 2010 | 9 Pages |
Abstract
Complete maximal surfaces in Generalized Robertson–Walker spacetimes obeying either the Null Convergence Condition or the Timelike Convergence Condition are studied. Uniqueness theorems that widely extend the classical Calabi–Bernstein theorem, as well as previous results on complete maximal surfaces in Robertson–Walker spacetimes, i.e. the case in which the Gauss curvature of the fiber is a constant, are given. All the entire solutions to the maximal surface differential equation in certain Generalized Robertson–Walker spacetimes are found.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Magdalena Caballero, Alfonso Romero, Rafael M. Rubio,