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We explored the motion of test particles near slowly rotating relativisticstar having a uniform luminosity. In order to derive the test particle'sequations of motion, we made use of the radiation stress-energy tensor firstconstructed by Miller and Lamb \cite{ML96}. From the particle's trajectoryobtained through the numerical integration of the equations of motion, it isfound that for sufficiently high luminosity, "suspension orbit" exists, wherethe test particle hovers around at uniform angular velocity in the samedirection as the star's spin. Interestingly, it turned out that the radialposition of the "suspension orbit" was determined by the luminosity and theangular momentum of the star alone and was independent of the initial positionsand the specific angular momentum of the particle. Also found is that thereexist not only the radiation drag but also "radiation counter-drag" whichdepends on the stellar radius and the angular momentum and it is this radiationcounter-drag that makes the test particle in the "suspension orbit" to hoveraround at uniform angular velocity which is greater than that induced by theLense-Thirring effect (i.e., general relativistic dragging of inertial frame).

Trajectory of test particle around a slowly rotating relativistic star emitting isotropic radiation