Reynolds, A and Ross, S. F. (2016) 'Butterflies with rotation and charge.', Classical and quantum gravity., 33 (21). p. 215008.
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.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||https://doi.org/10.1088/0264-9381/33/21/215008|
|Publisher 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|
|Date accepted:||20 September 2016|
|Date deposited:||03 November 2016|
|Date of first online publication:||13 October 2016|
|Date first made open access:||13 October 2017|
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