Tuesday, February 12, 2013

1302.2536 (Partha Pratim Pradhan)

Lyapunov exponent, K-S entropy and Charged Myers Perry Spacetimes    [PDF]

Partha Pratim Pradhan
We compute the principal Lyapunov exponent and \emph{Kolmogorov-Sinai(K-S) entropy} for charged Myers Perry black hole space-times and investigate the instability of the equatorial circular geodesics, both massive and massless particles via these exponents. We also show that for more than four space time dimensions$(N \geq 3)$, there are \emph{no} Innermost Stable Circular Orbit (ISCO) in charged Myers Perry black hole spacetime. The other aspect we have studied that among the all possible circular geodesics, which encircle the central black-hole, the time like circular geodesics has the \emph{longest} possible orbital period i.e. $T_{timelike}>T_{null}$, than the null circular geodesics (photon sphere) as measured by asymptotic observers. Thus, the time like circular geodesics provide the \emph{slowest way} to circle the charged Myers Perry black-hole.
View original: http://arxiv.org/abs/1302.2536

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