Intrinsic Gravitomagnetism and Non-commutative effects

TL;DR

This paper compares equations of motion in non-commutative space and usual space, showing that non-commutativity mimics the gravitomagnetic effects of a rotating sphere.

Contribution

It demonstrates that non-commutative geometry can produce effects analogous to gravitomagnetism in gravitational systems.

Findings

Non-commutative effects imitate gravitomagnetic fields.

Equations of motion in non-commutative space resemble those in rotating systems.

Non-commutativity can be viewed as an intrinsic gravitomagnetic phenomenon.

Abstract

The two equations of motion for a test particle are compared with each other. One is in the Non commutative space involving a static rigid sphere (as a source of central force) and the other is in the usual space involving a slowly stationary rotating sphere. The comparison tells us that, the effects of Non commutativity is analogous to gravitational effects of rotation of the sphere. That is, non commutativity imitates the effects of the intrinsic gravitomagnetic field of the sphere.