Session D8 - Classical Gravitation.
ORAL session, Saturday afternoon, May 01
Governor's Square 17, Adam's Mark Hotel
The Kerr-Schild method has proved to be a powerful tool for generating many of the most recurrent solutions of Einstein equations. We show here that this method works with the same efficiency in (2+1) dimensions. Our examples are the BTZ metric and the magnetic solution in (2 + 1) gravity. In both cases we have reobtained the known solutions and extended them to include new ones that contain charge and angular momentum. Following the same thread, we have extended the Dray and t'Hooft solution to this lower dimension case. This exact solution of Einstein equations, includes a null particle travelling along the event horizon of a black hole. These results underline the unifying character of this approach, several solutions of Einstein equations find their way through this formalism. Also, the simplicity of this approach and the existence of programs for algebraic manipulation of the Einstein equations overcome the main difficulty of this method: the physical interpretation of the resulting equations.