Circular Geodesics in Tidal Charged Black Hole

Abstract

We study the existence and stability criteria for circular geodesics of spherically symmetric tidal charged black hole~(BH). We investigate in details the equatorial causal geodesics of the tidal charged BH in comparison with spherically symmetric Reissner-Nordström BH spacetime. We particularly focused on both the null circular geodesics and time-like circular geodesics. Using the effective potential diagram, we have compared the geodesic structure between two spacetimes. We have derived the ISCO~(innermost stable circular orbit), MBCO~(marginally bound circular orbit) and CPO~(circular photon orbit) for both the space-times. Moreover, we have derived the \emph{quasi-normal modes~(QNM) frequency} in the \emph{eikonal limit} for both the spacetimes via Lyapunov exponent. In the Appendix section, we have shown that a spherically symmetric tidal-charged BH can act as particle accelerators with ultra-high center-of-mass~(CM) energy in the limiting case of \emph{maximal BH tidal charge~($q$)} and it is possible when two neutral particles are colliding near the horizon.

Version accepted in IJGMMP

References in corpus (4)

• Circular motion of neutral test particles in Reissner-Nordström spacetime
• Null Geodesics of Charged Black Holes in String Theory
• Stability analysis and quasinormal modes of Reissner Nordstrøm Space-time via Lyapunov exponent
• Production of tidal-charged black holes at the Large Hadron Collider

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• Weak Deflection angle and Shadow by Tidal Charged Black Hole
• Spatial regions, chaos bound and its violation
• Saturation of Chaos Bound in a Phenomenological Rotating Black Hole--Effective Matter System at Low-Temperature Limit
• Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle
• Spherically symmetric gravitational collapse in the background of Chaplygin gas