Asymptotic quasinormal modes of a noncommutative geometry inspired Schwarzschild black hole

Abstract

We study the asymptotic quasi-normal modes for the scalar perturbation of the non-commutative geometry inspired Schwarzschild black hole in (3+1) dimensions. We have considered $M\geq M_0$, which effectively correspond to a single horizon Schwarzschild black hole with correction due to non-commutativity. We have shown that for this situation the real part of the asymptotic quasi-normal frequency is proportional to $\ln (3)$. The effect of non-commutativity of spacetime on quasi-normal frequency arises through the constant of proportionality, which is Hawking temperature $T_H(θ)$. We also consider the two horizon case and show that in this case also the real part of the asymptotic quasi-normal frequency is proportional to $\ln(3)$.