Maxwell's Eq, Magnetic Monopoles, GR & Gravimag. Monopole?

[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!

 

[Mentz114]

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

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

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

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

 

[TrickyDicky]

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

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

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!

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

 

[Bill_K]

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

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.

 

[sardar]

I would like to address the question regarding the potential existence of magnetic monopoles and their relation to Maxwell's equations and General Relativity.

Firstly, Maxwell's equations describe the fundamental laws of electricity and magnetism, and they do not currently include any terms for magnetic monopoles. This is because, to date, there has been no experimental evidence to support the existence of magnetic monopoles. However, some theories in physics, such as Grand Unified Theories, predict the existence of magnetic monopoles.

If magnetic monopoles do exist, then it is possible that Maxwell's equations could be modified to accommodate them. This would involve adding new terms to the equations to describe the behavior of magnetic monopoles. However, until their existence is confirmed, these modifications remain purely theoretical.

Regarding General Relativity, it is a theory of gravity and does not directly involve magnetism. However, it is possible to write the equations of General Relativity in a form similar to Maxwell's equations for small field strengths and velocities. This is known as the weak field limit of General Relativity.

If magnetic monopoles were to be introduced into General Relativity, it is possible that they could be described by a new field in the theory. However, this is again purely theoretical and would require experimental evidence to support its inclusion.

In conclusion, while the existence of magnetic monopoles is still a topic of debate and research in the scientific community, their potential impact on Maxwell's equations and General Relativity remains to be seen. Further experimentation and evidence are needed to fully understand the role of magnetic monopoles in these fundamental theories.