# Maxwell's eq. and mag. monopoles, linear GR and gravimag. monopole?

1. Apr 7, 2013

### Spinnor

If there was magnetic charge Maxwell's equations could be altered to accommodate the magnetic charge?

For small field strength and velocities General Relativity can be put in a form similar to Maxwell's equations?

If so is there something that could be introduced into General Relativity (or is already there?) that would be the equivalent of magnetic charge?

Thanks for any help!

2. Apr 7, 2013

### Mentz114

$\nabla\cdot\mathbf{B}=0$ would have to go.

If Maxwells equations change then the Einstein-Maxwell equations will change. I can't tell you how off the top of my head.

3. Apr 8, 2013

### TrickyDicky

AFAIK only by introducing a topological defect(Dirac string) can magnetic monopoles be introduced in Maxwell's eq.

There is an approach to GR that highlights the analogies with EM, look up gravitomagnetism and frame-dragging: http://en.wikipedia.org/wiki/Gravitoelectromagnetism

4. Apr 8, 2013

### Bill_K

Yes, Taub-NUT space is a spherically symmetric vacuum solution that generalizes Schwarzschild. It contains an additional "NUT parameter" which plays the role of a gravitomagnetic charge.