Abstract
We study the innermost stable circular orbit (ISCO) of a spinning test particle moving in the vicinity of an axially symmetric rotating braneworld black hole (BH). We start with the description of the event horizon, static limit surface and ergosphere region of such BH and bring out the effect of tidal charge parameter on ergosphere. It is found that the ISCO of rotating braneworld BH is very sensitive to braneworld BH parameter C (also known as tidal charge parameter) in addition to its rotation parameter. We further discovered that the orbital radius of the spinning test particles changes non-monotonously with the braneworld BH tidal charge parameter. It is found that for rotating brane-world BH the allowed range of the particle spin grows as the tidal charge parameter C decreases, in contrast with the Kerr–Newman BH. We also found the similar behavior of the particle’s spin for the braneworld Reissner–Nordstrddot{o}m ( C <0) BH in contrast with its counterpart having ( C >0).
Highlights
Previous to these theoretical advancements, the dynamics of a non-spinning particle moving on a geodesic around a Schwarzschild black hole (BH) was first studied by Kaplan in [15]
We have studied in detail the properties of the ergosphere for a rotating braneworld BH and highlight the effect of tidal charge parameter C on it
We showed that when C < 0, it is possible to have a rotation parameter greater than unity unlike Kerr and Kerr– Newman BH where the BH rotation parameter a is always less than unity
Summary
Previous to these theoretical advancements, the dynamics of a non-spinning particle moving on a geodesic around a Schwarzschild BH was first studied by Kaplan in [15]. The study of non-spinning particles in the vicinity of different BHs showed that the motion of the massive or massless test particles gets affected by the BHs parameters like mass, charge and rotation. In addition to these parameters, it is found that if the central object (i.e. BH) is inspired by alternative theories of gravity the motion of the non-spinning particles in the vicinity of BH gets influenced by the extra parameter known as the deviation parameter [29,31,32,33,34]. It is relevant to point out here that the study of the dynamics
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