Geometry and stability of spinning branes in AdS gravity

J. EDELSTEIN; A. GARBARZ; O. MISKOVIC; J. ZANELLI

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Año: 2011 vol. 84 p. 1 - 23

1550-7998

The geometry of spinning codimension-two branes in AdS spacetime is analyzed in three and higher dimensions. The construction of non-extremal solutions is based on identications in the covering of AdS space by isometries that have xed points. The discussion focuses on the cases where the parameters of spinning states can be related to the velocity of a boosted static codimension-two brane. The resulting conguration describes a single spinning brane, or a set of intersecting branes, each one produced by an independent identication. The nature of the singularity is also examined, establishing that the AdS curvature acquires one in the form of a Dirac delta distribution. The stability of the branes is studied in the framework of Chern-Simons AdS supergravity. A class of branes, characterized by one free parameter, are shown to be stable when the BPS conditions are satised. In 3D, these stable branes are extremal, while in higher dimensions, the BPS branes are not the extremal ones.