Solutions to the maximal spacelike hypersurface equation in generalized Robertson-Walker spacetimes
Files
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. Electronic Journal of Differential Equations, 2018(80), pp. 1-14.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.