Dilatonic Probe, Force Balance and Gyromagnetic Ratio

Abstract

Following the Papapetrou-Dixon-Wald procedure we derive the equation of motion for a dilatonic test body(probe) with the dilaton coupling $\alpha =\sqrt{p/(2+p)}$ 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.

10 pages, typos corrected, to be published in Phys. Lett. B

References in corpus (2)

• Motion of Test Particles around a Charged Dilatonic Black Hole
• BPS Force Balances via Spin-Spin Interactions

Cited by in corpus (6)

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• On the Bogomol'nyi bound in Einstein-Maxwell-dilaton gravity
• World-line geometry probed by fast spinning particle
• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture
• A Probe Particle in Kerr-Newman-deSitter Cosmos
• Stringy Probe Particle and Force Balance