2018/12/31 by Julián Barragán Amado, Julián Barragán-Amado, Bruno Carneiro da Cunha +1
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Crystal Structures and Properties #Geometry #High-pressure geophysics and materials #Mathematics #Scalar (mathematics) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.99.105006
published as Phys. Rev. D 99, 105006 (2019) · JHEP style, 42 pages, 3 figures, 3 tables; Updated discussion on the superradiant modes
openalex created_date 2019/01/01 · arxiv created 2019/02/28 · openalex publication_date 2019/05/15 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/05
An analytic expression for the scalar quasinormal modes of generic, spinning Kerr\text\ensuremath-AdS5 black holes was previously proposed by the authors [J. High Energy Phys. 08 (2017) 094], in terms of transcendental equations involving the Painlev'e VI (PVI) \ensuremathτ function. In this work, we carry out a numerical investigation of the modes for generic rotation parameters, comparing implementations of expansions for the PVI \ensuremathτ function in terms of both conformal blocks (Nekrasov functions) and Fredholm determinants. We compare the results with standard numerical methods for the subcase of Schwarzschild black holes. We then derive asymptotic formulas for the angular eigenvalues and the quasinormal modes in the small black hole limit for generic scalar mass and discuss, both numerically and analytically, the appearance of superradiant modes.