SOLUTIONS TO THE MAXIMAL SPACELIKE HYPERSURFACE EQUATION IN GENERALIZED ROBERTSON-WALKER SPACETIMES

作者：De Lima Henrique F.^*; Dos Santos Fabio R.; Araujo Jogli G.

来源：Electronic Journal of Differential Equations, 2018, 80.

• Generalized Robertson-Walker spacetimes
• timelike convergence
• maximal spacelike hypersurfaces
• entire graphs
• maximal spacelike hypersurface equation

We apply some generalized maximum principles for establishing uniqueness and nonexistence results concerning maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker (GRW) spacetime, which is supposed to obey the so-called timelike convergence condition (TCC). As application, we study the uniqueness and nonexistence of entire solutions of a suitable maximal spacelike hypersurface equation in GRW spacetimes obeying the TCC.

• 出版日期2018-3-20