Regular Article - Theoretical Physics
Lyapunov exponent and charged Myers–Perry spacetimes
Department of Physics, Vivekananda Satabarshiki Mahavidyalaya, Manikpara, Paschim Medinipur, West Bengal, 721513, India
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Revised: 3 June 2013
Published online: 28 June 2013
We compute the proper time Lyapunov exponent for the charged Myers–Perry black hole spacetime and investigate the instability of the equatorial circular geodesics (both time-like and null) via this exponent. We also show that for more than four spacetime dimensions (N≥3), there are no Innermost Stable Circular Orbits (ISCOs) in the charged Myers–Perry black hole spacetime. We further show that among all possible circular orbits, time-like circular orbits have longer orbital periods than null circular orbits (photon spheres) as measured by asymptotic observers. Thus, time-like circular orbits provide the slowest way to orbit around the charged Myers–Perry black hole.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013