Quasinormal modes of non-Abelian hyperscaling violating Lifshitz black holes

TL;DR

This paper analyzes the quasinormal modes of scalar perturbations in non-Abelian hyperscaling violating Lifshitz black holes, revealing purely exponential decay and establishing mode stability through analytical and numerical methods.

Contribution

It provides the first analytical solutions for massless scalar quasinormal modes at specific exponents and numerically explores a range of parameters using the improved asymptotic iteration method.

Findings

Quasinormal frequencies are purely imaginary, indicating overdamped decay.

Analytical solutions are obtained for $z=2$ and $ ilde{ heta}>-2$.

Numerical results cover various dynamical and hyperscaling exponents.

Abstract

We study the quasinormal modes of scalar field perturbations in the background of non-Abelian hyperscaling violating Lifshitz black holes. We find that the quasinormal frequencies have no real part so there is no oscillatory behavior in the perturbations, only exponential decay, that is, the system is always overdamped, which guarantees the mode stability of non-Abelian hyperscaling violating Lifshitz black holes. We determine analytically the quasinormal modes for massless scalar fields for a dynamical exponent $z=2$ and hyperscaling violating exponent $\tilde{\theta}>-2$. Also, we obtain numerically the quasinormal frequencies for different values of the dynamical exponent and the hyperscaling violating exponent by using the improved asymptotic iteration method.