On the chaos bound in rotating black holes

A bstract We study out-of-time-order correlators (OTOCs) of rotating BTZ black holes using two different approaches: the elastic eikonal gravity approximation, and the Chern-Simons formulations of 3-dimensional gravity. Within both methods the OTOC is given as a sum of two contributions, corresponding to left and right moving modes. The contributions have different Lyapunov exponents, $$ {\lambda}_L^{\pm }=\frac{2\pi }{\beta}\frac{1}{1\mp \ell...