Maximal graphs and Calabi-Bernstein’s type problems in some Robertson-Walker spacetimes

Authors

  • Alfonso Romero Universidad de Granada, Spain

Keywords:

Robertson-Walker spacetime, maximal surface equation

Abstract

Spacelike graphs of zero mean curvature in certain 3-dimensional Robertson-Walker spacetimes are considered. All the entire solutions to the maximal surface equation are obtained and a non-existence result is also shown. For Robertson-Walker spacetimes close to Lorentz-Minkowski one, the behavior of entire solutions to the maximal surface equation is analyzed.

Author Biography

Alfonso Romero, Universidad de Granada, Spain

Dep. de Geometria y Topologia, 18071-Granada
Partially supported by the Spanish MEC-FEDER Grant MTM2007-60731 and the Junta de Andalucia Regional  Grant P06-FQM-01951. The author would like to express his sincere thanks to Organizing and Scientific Committees of the congress RIGA 2008.

Published

2008-11-30

Issue

Vol. 1(50) (2008)

Section

MATHEMATICS