Geodetic Precession in Squashed Kaluza-Klein Black Hole Spacetimes

Abstract

We investigate the geodetic precession effect of a parallely transported spin-vector along a circular geodesic in the five-dimensional squashed Kaluza-Klein black hole spacetime. Then we derive the higher-dimensional correction of the precession angle to the general relativity. We find that the correction is proportional to the square of (size of extra dimension)/(gravitational radius of central object).

12 pages, 1 figures

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• Constraints on Kaluza-Klein gravity from Gravity Probe B
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• Classical tests of General Relativity in thick branes
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