3-7 July 2023
University of Zululand
Africa/Johannesburg timezone
The Proceedings of SAIP2023 Published: 20 December 2023

Quasinormal modes calculated with physics-informed neural networks

4 Jul 2023, 14:20
20m
University of Zululand

University of Zululand

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics

Speaker

Anele Ncube (University of Johannesburg)

Description

The literature on the computation of black hole quasinormal modes (QNMs) is replete with the adoption of various approximation methods to solve the "quasi-Sturm Liouville" type problems governing the damped oscillations that dominate the ringdown phase of the time-evolving signal produced by perturbed black holes. Among the newest techniques is the physics-informed neural network (PINN) algorithm, a machine learning-based, general-purpose differential equation solver that has recently been implemented successfully to compute the QNMs of Kerr black holes perturbed by gravitational fields (of spin-weight, $s = -2$ ). Considering the recent work showing the significance of QNM overtones early in the gravitational wave signal (just following the peak strain amplitude), we utilise PINNs to compute QNM frequencies associated with overtone numbers $n > 0$ and the dominant $\ell = m = 2$ harmonic. The performance of PINNs is then compared with extant approximation methods for QNM computation.

Level for award;(Hons, MSc, PhD, N/A)?

PhD

Apply to be considered for a student ; award (Yes / No)? Yes

Primary authors

Anele Ncube (University of Johannesburg) Prof. Alan Cornell ( University of Johannesburg)

Presentation Materials

Peer reviewing

Paper