Higher dimensional generalizations of the Kerr black hole

Gary T. Horowitz
(Physics Department, University of California, Santa Barbara)


Motivated by string theory, I will describe black hole solutions in more than four spacetime dimensions. In this case there are higher dimensional generalizations of black holes such as black strings. I will start with nonrotating solutions and discuss the instability of certain black strings and the recently discovered phase diagram for black holes and black strings. I will then discuss rotating solutions. In five dimensions, in addition to rotating black holes with horizon topology S³, there are rotating black ring solutions which have topology S² x S¹. These are qualitatively new objects in which the horizon is a ring supporting itself against collapse by rotation. Charged generalizations of these solutions have also been found.