Tensor Fields on Self-Dual Warped $AdS_3$ Background

TL;DR

This paper investigates the behavior of rank s fields in a self-dual warped AdS3 black hole background, deriving exact solutions and quasi-normal modes while addressing gauge constraints.

Contribution

It introduces a new constraint to solve the equations of motion for fields in this background, providing exact solutions and analyzing quasi-normal modes.

Findings

Exact solutions for fields in warped AdS3 background

Identification of quasi-normal modes under boundary conditions

Resolution of gauge constraint issues in this setting

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 $AdS_3$ 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.