Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions

TL;DR

This paper derives comprehensive master equations for all gravitational perturbation types in static vacuum Lovelock black holes across higher dimensions, advancing understanding of their stability and dynamics.

Contribution

It provides the complete set of master equations for vector, scalar, and tensor perturbations of static vacuum Lovelock black holes in any dimension, filling a key gap in the literature.

Findings

Derived master equations for vector and scalar perturbations.

Unified framework for all perturbation types in Lovelock black holes.

Facilitates stability analysis of higher-dimensional black holes.

Abstract

In this paper, we derive the master equations for gravitational perturbations of vector and scalar type for static vacuum Lovelock black holes. Together with our previous work on the tensor type perturbation, we now provide the full set of master equations that governs all types of gravitational perturbations of static vacuum Lovelock black holes in any dimensions.