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

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.

16 pages; v2: references added; v3: typos

Cited by in corpus (25)

• Are eikonal quasinormal modes linked to the unstable circular null geodesics?
• Causality and Hyperbolicity of Lovelock Theories
• Lovelock theories, holography and the fate of the viscosity bound
• Lovelock black holes with maximally symmetric horizons
• Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos
• Imprints of dark matter on gravitational ringing of supermassive black holes
• 4D Einstein-Lovelock black holes: Hierarchy of orders in curvature
• Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes
• A cautionary case of casual causality
• A simple test for stability of black hole by $S$-deformation
• The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes
• Overtones' outburst of asymptotically AdS black holes
• Stability of generalized Einstein-Maxwell-scalar black holes
• Quasinormal Modes of Lovelock Black Holes
• Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
• Spherical collapse of inhomogeneous dust cloud in the Lovelock theory
• Hyperbolicity and Causality of Einstein-Gauss-Bonnet Gravity in Warped Product Spacetimes
• The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework
• Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity
• Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory
• Multi-horizons black hole solutions, photon sphere and perihelion shift in weak ghost-free Gauss-Bonnet theory of gravity
• Quasinormal modes of $p$-forms in spherical black holes
• Tidal deformation of black holes in Lovelock gravity
• Connecting quasi-normal modes with causality in Lovelock theories of gravity
• WKB method and quasinormal modes of string-theoretical d-dimensional black holes