Geodetic Precession in Squashed Kaluza-Klein Black Hole Spacetimes

TL;DR

This paper studies how extra dimensions in squashed Kaluza-Klein black hole spacetimes affect geodetic precession, deriving higher-dimensional corrections to general relativity predictions.

Contribution

It provides the first derivation of higher-dimensional corrections to geodetic precession in squashed Kaluza-Klein black hole spacetimes.

Findings

Correction to precession angle is proportional to the square of the ratio of extra dimension size to gravitational radius.

Higher-dimensional effects modify general relativity predictions for geodetic precession.

Results suggest potential observational signatures of extra dimensions in 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).