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Gravitino and other spin-32quasinormal modes in Schwarzschild-AdS spacetime

2013/11/30 by Peter Arnold, Phillip Szepietowski, Diana Vaman
Physics and Astronomy · #Algorithm #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Database #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.89.046001

published as Phys. Rev. D 89, 046001 (2014) · 31 pages, 3 figures [change from v1: very minor changes to text, and some references added]

arxiv created 2014/01/24 · openalex publication_date 2014/02/05 · arxiv updated 2014/02/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate quasinormal mode frequencies \ensuremathωn of gravitinos and generic massive spin-(3)/(2) fields in a Schwarzschild-AdSD background in spacetime dimension D>3, in the black brane (large black hole) limit appropriate to many applications of the AdS/CFT correspondence. First, we find asymptotic formulas for \ensuremathωn in the limit of large overtone number n. Asymptotically, \ensuremathωn\ensuremath≃n\mathrm\ensuremathΔ\ensuremathω+O(lnn)+O(n0), where \mathrm\ensuremathΔ\ensuremathω is a known constant, and here we compute the O(lnn) and O(n0) corrections to the leading O(n) behavior. Then we compare to numerical calculations of exact quasinormal mode frequencies. Along the way, we also improve the reach and accuracy of an earlier, similar analysis of spin-(1)/(2) fields.

Citations