Scalar quasinormal modes of the near extremal Reissner-Nordström black hole in NC space-time

Abstract

A way to search for a signal of space-time noncommutativity is to study a quasinormal mode spectrum of the Reissner-Nordstr?m black hole in the presence of noncommutativity. In this paper, we chose a particular NC deformation defined by the angular twist. We investigate a noncommutative (NC) deformation of a complex scalar field, minimally coupled with a classical (commutative) near extremal Reissner-Nordstr?m background. The theory is manifestly invariant under the deformed U(1)* gauge symmetry group. Using the EOM for the NC complex scalar field in RN background, the QNM spectrum is calculated for a particular range of parameters coresponding to the near extremal limit.