Stability of circular geodesics in equatorial plane of Kerr spacetime
نویسندگان
چکیده
We analyze the stability of circular geodesics for timelike as well null Kerr BH spacetime with rotation parameter on equatorial plane by Lyapunov analysis. Also, we verify results presenting phase portrait both and geodesics. Further, reviewing Kosambi–Cartan–Chern (KCC) theory, Jacobi present a comparative study methods used analysis
منابع مشابه
Geodesics in stationary spacetimes . Application to Kerr spacetime
The Levi-Civita connection and geodesic equations for a stationary spacetime are studied in depth. General formulae which generalize those for warped products are obtained. These results are applicated to some regions of Kerr spacetime previously studied by using variational methods. We show that they are neither space-convex nor geodesically connected. Moreover, the whole stationary part of Ke...
متن کاملGeodesics in Lewis Spacetime
The geodesic equations are integrated for the Lewis metric and the effects of the different parameters appearing in the Weyl class on the motion of test particles are brought out. Particular attention deserves the appearance of a force parallel to the axial axis and without Newtonian analogue.
متن کاملDeviation of geodesics in FLRW spacetime geometries
The geodesic deviation equation (‘GDE’) provides an elegant tool to investigate the timelike, null and spacelike structure of spacetime geometries. Here we employ the GDE to review these structures within the Friedmann–Lemâıtre–Robertson–Walker (‘FLRW’) models, where we assume the sources to be given by a non-interacting mixture of incoherent matter and radiation, and we also take a non-zero co...
متن کاملThe evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
An outstanding problem in general relativity is the evolution of binary systems with strong gravity and compact bodies. Although post-Newtonian approximations very successfully describe the evolution of such binaries when the bodies are widely separated [1], no approximation schemes work well when the bodies are close: in general, there is no small parameter that can be used to develop any appr...
متن کاملD ec 1 99 7 Innermost Stable Circular Orbit of a Spinning Particle in Kerr Spacetime
We study stability of a circular orbit of a spinning test particle in a Kerr spacetime. We find that some of the circular orbits become unstable in the direction perpendicular to the equatorial plane, although the orbits are still stable in the radial direction. Then for the large spin case (S ∼ O(1)), the innermost stable circular orbit (ISCO) appears before the minimum of the effective potent...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Physical Journal Plus
سال: 2022
ISSN: ['2190-5444']
DOI: https://doi.org/10.1140/epjp/s13360-022-02477-1