Electronic Journal of Differential Equations (Mar 2018)

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

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

Journal volume & issue
Vol. 2018, no. 80,
pp. 1 – 14

Abstract

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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.

Keywords