Gravitomagnetism in Brane-Worlds

TL;DR

This paper investigates how the gravitomagnetic effect differs in brane-world models, especially the Randall-Sundrum scenarios, and discusses potential experimental tests with Gravity Probe B data to distinguish these models from standard general relativity.

Contribution

It analyzes the gravitomagnetic effect in Randall-Sundrum brane-world models, revealing dependence on brane separation and proposing experimental tests to differentiate these models from general relativity.

Findings

The second Randall-Sundrum model leaves the gravitomagnetic effect unchanged.

The two-brane scenario shows a strong dependence of the effect on the brane separation ratio.

Potential for experimental testing with Gravity Probe B data to validate or refute the models.

Abstract

In this paper we discuss a physical observable which is drastically different in a brane-world scenario. To date, the Randall-Sundrum model seems to be consistent with all experimental tests of general relativity. Specifically, we examine the so-called gravitomagnetic effect in the context of the Randall-Sundrum (RS) model. This treatment, of course, assumes the recovery of the Kerr metric in brane-worlds which we have found to the first order in the ratio of the brane separation to the radius of the AdS$_5$, $(\ell/r)$. We first show that the second Randall-Sundrum model of one brane leaves the gravitomagnetic effect unchanged. Then, we consider the two-brane scenario of the original Randall-Sundrum proposal and show that the magnitude of the gravitomagnetic effect depends heavily on the ratio of $(\ell/r)$. Such dependence is a result of the geometrodynamic spacetime and does not appear in static scenarios. We hope that we will be able to test this proposal experimentally with data from NASA's Gravity Probe B (GP-B)and possibly disprove either the Randall-Sundrum two-brane scenario or standard general relativity.