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 Lyapunov Exponent and Charged Myers Perry Spacetimes


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We compute the proper time Lyapunov exponent for charged Myers Perry black hole spacetime and investigate the instability of the equatorial circular geodesics both timelike and null via this exponent. We also show that for more than four spacetime dimensions $N \geq 3$, there are \emph{no} Innermost Stable Circular Orbits ISCOs in charged Myers Perry black hole spacetime. We further show that among all possible circular orbits, timelike circular orbits have \emph{longer} orbital periods than null circular orbits photon spheres as measured by asymptotic observers. Thus, timelike circular orbits provide the \emph{slowest way} to orbit around the charged Myers Perry black hole.



Author: Partha Pratim Pradhan

Source: https://archive.org/



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