Abstract
By computing coordinate time Lyapunov exponent, we prove that for more than four spacetime dimensions(N ≥ 3), there are no Innermost Stable Circular Orbit (ISCO) in charged Myers Perry blackhole spacetime.Using it, we show that the instability of equatorial circular geodesics, both massive and massless particles for such types of blackhole space-times. Lyapunov exponents are the standard machinery or tools to determine the chaotic behaviour in non linear dynamical system. They play a crucial role in the description of the trajectories in dynamical systems. They also measures the average rate of divergence or convergence of nearby trajectories in the phase space. In Ref., 1 we studied in detail the proper time Lyapunov exponent and K-S entropy for charged Myers Perry spacetimes. Here we investigate the coordinate time Lyapunov exponent, which measures the instability of the equatorial circular geodesics for charged Myers Perry black hole.
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