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Dilatonic Probe, Force Balance and Gyromagnetic Ratio

Tetsuya Shiromizu

hep-tharXiv:hep-th/9906177

Abstract

Following the Papapetrou-Dixon-Wald procedure we derive the equation of motion for a dilatonic test body(probe) with the dilaton coupling α= p/(2+p) in four dimension. Since the dilatonic freedom sometimes comes from extra dimensions, it is best to derive the EOM by a dimensional reduction from (p+4)-dimensions. We discuss about the force balance up to the gravitational spin-spin interactions via the probe technique. The force balance condition yields the saturation of a Bogomol'nyi bound and the gyromagnetic ratio of the test body.

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