MG12 - Talk detail |
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Participant |
Svitek, Otakar | |
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Institution |
Institute of Theoretical Physics, Charles University in Prague - V Holesovickach 2 - Prague - - Czech Republic | |
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Session |
Talk |
Abstract |
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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. |