2016/04/14 by Alan P. Reynolds, Alan Reynolds, Simon F. Ross · 1 citation
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #Geodesic #Geometry #Mathematical physics #Mechanics #Perturbation (astronomy) #Physics #Quantum electrodynamics #Quantum mechanics #Rotating black hole #Rotation (mathematics) #Shock wave #Spacetime #Wormhole #hep-th
paper · pdf · doi:10.1088/0264-9381/33/21/215008
20 pages, 10 figures
arxiv created 2016/04/14 · openalex publication_date 2016/10/13 · arxiv updated 2016/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the butterfly effect for black holes with rotation or charge. We perturb rotating BTZ and charged black holes in 2 + 1 dimensions by adding a small perturbation on one asymptotic region, described by a shock wave in the spacetime, and explore the effect of this shock wave on the length of geodesics through the wormhole and hence on correlation functions. We find the effect of the perturbation grows exponentially at a rate controlled by the temperature; dependence on the angular momentum or charge does not appear explicitly. We comment on issues affecting the extension to higher-dimensional charged black holes.