Tensor Fields on Self-Dual Warped $Ad{S}_3$ Background

Abstract

Considering rank s fields obey first order equation of motion, we study the dynamics of such fields in a 3 dimensional self-dual space-like warped $Ad{S}_3$ black hole background. We argue that in this background, symmetric conditions and gauge constraint can not be satisfied simultaneously. Using new suitable constraint, we find the exact solutions of equation of motion. Then, we obtain the quasi-normal modes by imposing appropriate boundary condition at horizon and infinity.

arXiv comment25 pages, no figure

References in corpus (14)

• The Black Hole in Three Dimensional Space Time
• Chiral Gravity in Three Dimensions
• Three-Dimensional Gravity Revisited
• Warped AdS_3 Black Holes
• On higher spins and the tensionless limit of String Theory
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Three-dimensional black holes from deformed anti-de Sitter
• Nonlinear Dynamics of 3D Massive Gravity
• Higher spin quasinormal modes and one-loop determinants in the BTZ black hole
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• Self-Dual Warped AdS${}_3$ Black Holes
• Hidden Conformal Symmetry of Warped AdS_3 Black Holes
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Quasi-Normal Modes of Extremal BTZ Black Holes in TMG