Do we get different curved geometries in all Spaces that have different forces(= fields?) present ?

 

I have never heard of space time curvature being applied to other areas like magnetism but are there also geodesics in magnetic fields, as an example and is it right to also talk about a spacetime curvature in that context as well?

 

If one needs to calculate the path of an incoming object that was subject to the Earth's magnetic field is it possible to do so (ignoring gravity) in terms of it following a "magnetic geodesic" ?

 

Does such an object ,in a magnetic field undergo acceleration ? If it does, does that say it is not following a geodesic?

Edited October 30, 20169 yr by geordief

A geometric model of Electromagnetism can be realized by incorporating a 5th dimension into GR.

See T. Kaluza and O. Klein.

Gosh Mig, the last time I suggested a look at Kaluza and Klein it fell on deaf ears.

I thought I had seen exactly the same question answered recently, but the nearest thing i could find was 9 years ago: http://www.scienceforums.net/topic/24792-spacetime-curvature-for-non-gravitational-forces/