Henrique F. de Lima, Fabio R. dos Santos, Jogli G. Araujo
Abstract:
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.
Submitted August 12, 2017. Published March 20, 2018.
Math Subject Classifications: 53C42, 53B30, 53C50, 53Z05, 83C99.
Key Words: Generalized Robertson-Walker spacetimes; timelike convergence ;
maximal spacelike hypersurfaces; entire graphs;
maximal spacelike hypersurface equation.
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Henrique F. de Lima Departamento de Matemática Universidade Federal de Campina Grande 58429-970 Campina Grande, Paraíba, Brazil email: henrique@mat.ufcg.edu.br |
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Fábio R. dos Santos Departamento de Matemática Universidade Federal de Campina Grande 58429-970 Campina Grande, Paraíba, Brazil email: fabio@mat.ufcg.edu.br |
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Jogli G. Araújo Departamento de Matemática Universidade Federal de Campina Grande 58429-970 Campina Grande, Paraíba, Brazil email: jogli@mat.ufcg.edu.br |
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