Butterflies with Rotation and Charge

Reynolds, A; Ross, S.F.

Abstract

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.

Citation

Reynolds, A., & Ross, S. (2016). Butterflies with Rotation and Charge. Classical and Quantum Gravity, 33(21), Article 215008. https://doi.org/10.1088/0264-9381/33/21/215008

• Journal Article Type: Article
• Acceptance Date: Sep 20, 2016
• Online Publication Date: Oct 13, 2016
• Publication Date: Nov 3, 2016
• Deposit Date: Oct 17, 2016
• Publicly Available Date: Oct 13, 2017
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 21
• Article Number: 215008
• DOI: https://doi.org/10.1088/0264-9381/33/21/215008
• Public URL: https://durham-repository.worktribe.com/output/1395348
• Related Public URLs: https://arxiv.org/abs/1604.04099