Publication at Faculty of Mathematics and Physics |
2011
Abstract
The higher-dimensional generalization of Penrose-Tod equation describing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation is derived. Existence of its solutions in dimensions higher than 4 is proved using tools for nonlinear elliptic partial differential equations.
It is shown that this horizon is naturally a trapping and a dynamical horizon. The findings generalize results from the 4-dimensional case.