Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective
General Relativity and Quantum Cosmology
2026-04-09 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2412.14266,
title = {Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective},
author = {Tonatiuh Tiscareño and Benito Rodríguez and Javier Chagoya},
journal= {arXiv preprint arXiv:2412.14266},
year = {2026}
}
Comments
21 pages, 6 figures, 5 tables