SAIP2026

Evaluation of the Asymptotic Iteration Method for Computing Quasinormal Modes of Diverse Black Hole Spacetimes.

8 Jul 2026, 15:10

20m

Lecture Hall DL2 (University of the Western Cape)

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

Speaker

Mr Tal Leshem

Description

We review the Asymptotic Iteration Method (AIM) as a computational framework for determining the quasinormal mode (QNM) spectra of black hole spacetimes, with particular emphasis on its regimes of applicability and failure. We identify scenarios in which AIM does not yield accurate or reliable eigenvalues and analyze the underlying causes of these breakdowns. To address these limitations, we investigate two complementary diagnostic approaches, inspired by the work of Batic and Saad, which provide criteria for assessing the validity of QNMs obtained via AIM. Our preliminary results indicate that, while one of these approaches offers a practical tool for detecting convergence issues and enhancing the robustness of AIM-based spectral computations, certain inconsistencies arise in Batic’s convergence theorem.
These findings highlight the need for a more rigorous understanding of stability and convergence properties in existing methods for computing black hole QNMs.

Presentation materials

Development_of_new_methods_for_calculating_black_hole_quasinormal_modes.pdf

Evaluation of AIM using two distinct approaches.pdf