Theoretical High Energy Seminar
Wissam Chemissany (Katholieke U. Leuven)
D=4 Black Holes from Geodesics
Abstract:Dimensional reduction along time offers a powerful way to study stationary solutions of 4D symmetric supergravity models via group-theoretical methods. In this way the black hole solutions are identified with the geodesics on a pseudo-Riemannian coset manifold G/H and the corresponding geodesic equations are best approached when they are cast into the Lax form. The main goal of this work is to classify static, single center black hole solutions to N=2 four dimensional magic models, laying emphasis on the model with special Kahler scalar manifold Sp(6)/U(3). We have posed the general question: Given a geodesic on this manifold, can it be related to one describing a black hole solution in D =4? We showed that answering this question requires a classication of the initial velocity vectors of geodesics with respect to the action of the isotropy group H, which is what we have accomplished.
Date: Thursday, 21/6/12
Place: Auditorium A, Blegdamsvej 17, 2100, Copenhagen