2012/06/28 by Micha Berkooz, Anna Frishman, Amir Zait
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Degenerate energy levels #Equations of motion #Massless particle #Pulsars and Gravitational Waves Research #Quasinormal mode #Scalar (mathematics) #Supergravity #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep08(2012)109
41 pages, 1 figure, LaTeX; v2: typos corrected, references added
arxiv created 2012/06/28 · openalex publication_date 2012/08/01 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work we discuss charged rotating black holes in AdS5 × S5 that degenerate to extremal black holes with zero entropy. These black holes have scaling properties between charge and angular momentum similar to those of Fermi surface operators in a subsector of N=4 SYM. We add a massless uncharged scalar to the five dimensional supergravity theory, such that it still forms a consistent truncation of the type IIB ten dimensional supergravity and analyze its quasinormal modes. Separating the equation of motion to a radial and angular part, we proceed to solve the radial equation using the asymptotic matching expansion method applied to a Heun equation with two nearby singularities. We use the continued fraction method for the angular Heun equation and obtain numerical results for the quasinormal modes. In the case of the supersymmetric black hole we present some analytic results for the decay rates of the scalar perturbations. The spectrum of quasinormal modes obtained is similar to that of a chiral 1+1 CFT, which is consistent with the conjectured field-theoretic dual. In addition, some of the modes can be found analytically.