Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
In: Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, ed. {Piran}, T. and {Ruffini}, R., pp. 310-312 (1999)
Robinson-Trautman space-times of Petrov type II with a cosmologlcical constant $\Lambda$ and mass parameter $m > 0$ are studied. They are shown to approach the corresponding spherically symmetric Schwarzsehild-(anti)-de Sitter solution at large retarded times. Their global structure is analyzed, and it is demonstrated that the smoothness of the extension across the horizon, as compared with the case $\Lambda = 0$, can increase for $Lambda > 0$ and decreases for $\Lamda < 0$. For the extreme value $\Lambda m^2 = 1$, the extension is smooth but not analytic. This case appears to be the first example of a smooth but not analytic horizon, The models with $\Lambda > 0$ exhibit explicitly the cosmic no-hair conjecture under the presence of gravitational waves and may serve as test beds in numerical studies of more realistic situations.
@inproceedings{UTF270,
author = {Bičák, J. and Podolský, J.},
title = {{Robinson-Trautman Radiative Space-Times with Cosmological Constant}},
booktitle = {Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories},
editor = {\{Piran\}, T. and \{Ruffini\}, R.},
pages = {310-312},
year = {1999},
}