Holographic phase transition and Quasinormal modes in Lovelock gravity

TL;DR

This paper investigates how higher-order curvature corrections in Lovelock gravity influence black hole quasinormal modes and holographic superconductor formation, with a focus on gauge/gravity duality and hydrodynamic behavior.

Contribution

It introduces the effects of higher-order curvature terms on quasinormal spectra and holographic superconductors within Lovelock gravity, extending previous analyses to include these corrections.

Findings

Higher-order curvature corrections modify quasinormal mode spectra.

Lovelock gravity impacts the conditions for holographic superconductor formation.

Hydrodynamic limit behavior of gauge field perturbations is characterized in this context.

Abstract

In this work we aim at discussing the effects of higher order corrections to curvature on the Lovelock AdS black holes quasinormal spectrum and, in the context of gauge/gravity correspondence, their consequences for the formation of holographic superconductors. We also explore the hydrodynamic limit of the $U(1)$ gauge field perturbations in $d$ dimensions.