Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective
arXiv:2412.14266 · doi:10.1140/epjc/s10052-025-14137-6
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.
arXiv comment21 pages, 6 figures, 5 tables
References in corpus (23)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Geodesic stability, Lyapunov exponents and quasinormal modes
- Chern-Simons Modification of General Relativity
- Chern-Simons Modified General Relativity
- Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
- Non-Spinning Black Holes in Alternative Theories of Gravity
- Thin accretion disks in stationary axisymmetric wormhole spacetimes
- The effects of Chern-Simons gravity on bodies orbiting the Earth
- Rotating black hole in extended Chern-Simons modified gravity
- How do Black Holes Spin in Chern-Simons Modified Gravity?
- Thin accretion disk signatures in dynamical Chern-Simons modified gravity
- Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra
- Non-perturbative spinning black holes in dynamical Chern-Simons gravity
- Kosambi-Cartan-Chern (KCC) theory for higher order dynamical systems
- Does a black hole rotate in Chern-Simons modified gravity?
- Spontaneously scalarized black holes in dynamical Chern-Simons gravity: dynamics and equilibrium solutions
- Thin accretion disks around rotating black holes in Einstein-Gauss-Bonnet gravity
- Shadow revisiting and weak gravitational lensing with Chern-Simons modification
- The Chern-Simons Caps for Rotating Black Holes
- Scalar induced gravitational waves from Chern-Simons gravity during inflation era
- Stability of circular geodesics in equatorial plane of Kerr spacetime
- Stability analysis of circular orbits around a traversable wormhole with massless conformally coupled scalar field