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arXiv · 2412.14266

Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective

Tonatiuh Tiscareño·Benito Rodríguez·Javier Chagoya
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Abstract

We apply the Kosambi-Cartan-Chern theory to perform an extensive examination of Jacobi stability of geodesics around rotating black hole solutions to dynamical Chern-Simons gravity, a theory that introduces modifications to General Relativity via a scalar field non-minimally coupled to curvature scalars. We present a comparative study between Jacobi and Liapunov stability, pointing out the advantages of the more geometrical method over the usual Liapunov approach.

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Tonatiuh Tiscareño, Benito Rodríguez, Javier Chagoya. 2024-12-18. Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective. https://doi.org/10.1140/epjc%2Fs10052-025-14137-6

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