2013/04/30 by Hugo R. C. Ferreira · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.87.124013
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 87(12) (American Physical Society) · 23 pages, 10 figures
arxiv created 2013/05/24 · openalex publication_date 2013/06/13 · arxiv updated 2013/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We demonstrate that the warped AdS3 black hole solutions of topologically massive gravity are classically stable against massive scalar field perturbations by analyzing the quasinormal and bound state modes of the scalar field. In particular, it is found that although classical superradiance is present it does not give rise to superradiant instabilities. The stability is shown to persist even when the black hole is enclosed by a stationary mirror with Dirichlet boundary conditions. This is a surprising result in view of the similarity between the causal structure of the warped AdS3 black hole and the Kerr spacetime in 3+1 dimensions. This work provides the foundations for the study of quantum field theory in this spacetime.