Padé metrics for black hole perturbations and light rings
arXiv:2503.06752 · doi:10.1103/PhysRevD.111.104063
Abstract
Most distinguishing features of black holes and their mimickers are concentrated near the horizon. In contrast, astrophysical observations and theoretical considerations primarily constrain the far-field geometry. In this work we develop tools to effectively describe both, using the two-point Padé approximation to construct interpolating metrics connecting the near and far-field. We extend our previous work by computing the quasinormal modes of gravitational perturbations for static, spherically symmetric metrics that deviate from Schwarzschild spacetime. Even at the lowest order, this approach compares well with existing methods in both accuracy and applicability. Additionally, we show that the lowest-order interpolating metric reliably predicts light ring locations. It closely matches exact results, even when unsuitable for quasinormal frequency calculations.
19 pages, 6 figures, comments welcome
References in corpus (14)
- First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
- Light ring stability in ultra-compact objects
- A Metric for Rapidly Spinning Black Holes Suitable for Strong-Field Tests of the No-Hair Theorem
- A new method for shadow calculations: application to parameterised axisymmetric black holes
- New parametrization for spherically symmetric black holes in metric theories of gravity
- Warp drive basics
- Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole
- Quasi-normal frequencies: Key analytic results
- Quasinormal ringing of general spherically symmetric parametrized black holes
- Regular black holes and the first law of black hole mechanics
- Light rings and causality for nonsingular ultracompact objects sourced by nonlinear electrodynamics
- Quasinormal Modes for Dynamical Black Holes
- Kinematic and energy properties of dynamical regular black holes
- Semi-classical imprints on quasinormal mode spectra