MG12 - Talk detail |
Participant |
Svitek, Otakar | |
Institution |
Institute of Theoretical Physics, Charles University in Prague - V Holesovickach 2 - Prague - - Czech Republic | |
Session |
Talk |
Abstract |
BHT2 |
Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension |
We start with the derivation of the equation describing quasi-local horizons (called Penrose-Tod equation in the four-dimensional case). The results concerning existence and uniqueness of solutions when dim=4 and cosmological constant is present are shown. After overviewing the necessary mathematical tools we present the existence results in higher dimensions. |