# Geodesic stability, Lyapunov exponents, and quasinormal modes

@article{Cardoso2008GeodesicSL, title={Geodesic stability, Lyapunov exponents, and quasinormal modes}, author={V{\'i}tor Cardoso and A. Santamaria Miranda and Emanuele Berti and Helvi Witek and Vilson T. Zanchin}, journal={Physical Review D}, year={2008}, volume={79}, pages={064016} }

Geodesic motion determines important features of spacetimes. Null unstable geodesics are closely related to the appearance of compact objects to external observers and have been associated with the characteristic modes of black holes. By computing the Lyapunov exponent, which is the inverse of the instability time scale associated with this geodesic motion, we show that, in the eikonal limit, quasinormal modes of black holes in any dimensions are determined by the parameters of the circular…

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