(Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet
arXiv:2411.08001 · doi:10.1016/j.physletb.2025.139347
Abstract
In this paper, we analyze the scalar field (quasi-)normal modes of recently derived rotating black holes within the framework of Einstein-Gauss-Bonnet theory at the Chern-Simons point in five dimensions. We also examine the mode spectrum of these probes on new static gravitational solitons. These solitons, featuring a regular center, are constructed from static black holes with gravitational hair via a double analytic continuation. By imposing ingoing boundary conditions at the horizons of rotating black holes, ensuring regularity at the soliton centers, and imposing Dirichlet boundary conditions at infinity, we obtain numerical spectra for the rotating black holes and solitons. For static black holes, we demonstrate analytically that the imaginary part of the mode frequencies is negative. Our analysis of the massless Klein-Gordon equation on five-dimensional geometries reveals an infinite family of gaped, massive three-dimensional Klein-Gordon fields, despite the presence of a non-compact extended direction. For the static solitons, the frequencies are real and non-equispaced, whereas in the rotating black holes, counter-rotating modes are absorbed more quickly, and the imaginary part of the co-rotating modes approaches zero as extremality is approached. Additionally, we show that both the rotating black holes and solitons can be equipped with non-trivial torsion, leading to a novel branch of solutions.
arXiv comment23 pages, 4 figures. V2: To appear in PLB. 2 columns, 12 pages, 4 figures. Improved figures, references added
References in corpus (44)
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- Black Hole Entropy from Near-Horizon Microstates
- Black Strings and p-Branes are Unstable
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Quasinormal modes and holography
- Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
- The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
- Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
- The Instability of Charged Black Strings and p-Branes
- Dimensionally Continued Black Holes
- Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
- The Lovelock Black Holes
- Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part I: tensor perturbations
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- (In)stability of D-dimensional black holes in Gauss-Bonnet theory
- Gravitational instability of Einstein-Gauss-Bonnet black holes under tensor mode perturbations
- Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
- Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
- Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
- Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
- Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
- Quasinormal modes of Gauss-Bonnet-AdS black holes: towards holographic description of finite coupling
- Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces
- Charged Rotating Black Branes in anti-de Sitter Einstein-Gauss-Bonnet Gravity
- Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
- Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
- Magnetic Branes in Gauss-Bonnet Gravity
- The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory
- Thermodynamics of Rotating Solutions in Gauss-Bonnet-Maxwell Gravity and the Counterterm Method
- Superradiance in the BTZ black hole with Robin boundary conditions
- Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
- Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
- String-Like BTZ on Codimension-2 Braneworlds in the Thin Brane Limit
- Nonminimal couplings, gravitational waves, and torsion in Horndeski's theory
- New BPS solitons in N=4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory
- Rotating Solutions in Critical Lovelock Gravities
- Slowly rotating and the accelerating -corrected black holes in four and higher dimensions
- Black hole solutions in Chern-Simons AdS supergravity
- Simply rotating higher dimensional black holes in Einstein-Gauss-Bonnet theory
- Perturbations of Gauss-Bonnet Black Strings in Codimension-2 Braneworlds
- A black hole solution in conformal supergravity
- corrections to the black string instability and the boosted black string
- Kerr-Schild Method and Geodesic Structure in Codimension-2 Brane Black Holes