Work

Padé metrics for black hole perturbations and light rings

Year: 2025
Type: article
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 Pad\'e 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.
Language: English
Open Access status: green
OpenAlex ID: W4410541981
FWCI: 1.42
Cites: 52
Cited by: 3
Related to: 10