https://doi.org/10.1140/epjc/s10052-025-14137-6
Regular Article - Theoretical Physics
Stability analysis of geodesics in dynamical Chern–Simons black holes: a geometrical perspective
Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad esquina con Paseo a la Bufa S/N, 98060, Zacatecas, Mexico
a
benito.rodriguez@fisica.uaz.edu.mx
Received:
27
December
2024
Accepted:
1
April
2025
Published online:
19
April
2025
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 Lyapunov stability, pointing out the advantages of the more geometrical method over the usual Lyapunov approach.
© The Author(s) 2025
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