Applies KCC theory for Jacobi stability analysis of geodesics in dynamical Chern-Simons rotating black holes and compares advantages versus Lyapunov stability.
Circular geodesics stability in a static black hole in new massive gravity
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abstract
We study the existence and stability of circular geodesics in a family of asymptotically AdS static black holes in New Massive Gravity. We show that the existence of such geodesics is determined by the sign of the hair parameter. For a positive hair parameter the stability regions follow the usual pattern, with an innermost unstable null geodesic separated from the horizon, followed by a region of unstable timelike geodesics and then stable timelike geodesics extending in the asymptotic region.
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gr-qc 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
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Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective
Applies KCC theory for Jacobi stability analysis of geodesics in dynamical Chern-Simons rotating black holes and compares advantages versus Lyapunov stability.