Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background
- Author(s)
- Filip Ficek, Maciej Maliborski
- Abstract
The conformally invariant scalar equation permits the Robin boundary condition at infinity of asymptotically AdS spacetimes. We show how the dynamics of a conformal cubic scalar field on the Reissner-Nordström-anti-de Sitter background depend on the black hole size, charge, and choice of the boundary condition. We study the whole range of admissible charges, including the extremal case. In particular, we observe the transition in stability of the field for large black holes at the specific critical value of the charge. Similarities between Reissner-Nordström and Kerr black hole let us suspect that a similar effect may also occur in rotating black holes.
- Organisation(s)
- Gravitational Physics, Department of Mathematics
- Journal
- Physical Review D
- Volume
- 111
- No. of pages
- 10
- ISSN
- 2470-0010
- DOI
- https://doi.org/10.48550/arXiv.2411.09447
- Publication date
- 03-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics, 101002 Analysis
- Keywords
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/9b343f14-56e2-4c03-ac6e-ffc7f83e8ee5