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Butterflies with Rotation and Charge

Reynolds, A; Ross, S.F.

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A Reynolds


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.


Reynolds, A., & Ross, S. (2016). Butterflies with Rotation and Charge. Classical and Quantum Gravity, 33(21), Article 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
Related Public URLs


Accepted Journal Article (1 Mb)

Copyright Statement
This is an author-created, un-copyedited version of an article published in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/0264-9381/33/21/215008

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