Solutions to the maximal spacelike hypersurface equation in generalized Robertson-Walker spacetimes

Date

2018-03-20

Authors

de Lima, Henrique F.
dos Santos, Fabio R.
Araujo, Jogli G.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Generalized Robertson-Walker spacetimes, Timelike convergence, Maximal spacelike hypersurfaces, Entire graphs, Maximal spacelike hypersurface equation

Citation

de Lima, H. F., dos Santos, F. R., & Araújo, J. G. (2018). Solutions to the maximal spacelike hypersurface equation in generalized Robertson-Walker spacetimes. <i>Electronic Journal of Differential Equations, 2018</i>(80), pp. 1-14.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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