Scalar and Spinor Quasi Normal Modes of a 2D Dilatonic Blackhole

TL;DR

This paper analytically computes the quasi-normal mode frequencies of scalar and spinor fields in a 2D dilatonic blackhole, revealing stability and characteristic decay behaviors of perturbations.

Contribution

It provides exact analytical expressions for QNM frequencies of scalar and spinor fields in a (1+1)D dilatonic blackhole, highlighting differences in their real and imaginary parts.

Findings

Scalar QNM frequencies are purely imaginary and negative.

Dirac field QNM frequencies have both real and imaginary parts.

Blackhole stability is confirmed through monotonic decay of QNM frequencies.

Abstract

External non-minimally coupled scalar and spinor field perturbations have been studied in a (1 + 1) dimensional dilatonic blackhole spacetime [1, 2]. Exact analytical expressions of the quasi- normal mode frequencies have been found for both the cases. In the scalar perturbations the quasi-normal mode frequencies turn out to be purely imaginary and negative. Furthermore we have found that the quasi-normal frequencies for Dirac field exhibit both real and imaginary part. The QNM frequencies decay monotonically with the overtone number under certain class of the blackhole parameters. The decay profile ensures the stability of the blackhole spacetime under these perturbations.