According to the Einstein field equations, matter and energy both curve spacetime. I'm wondering how magnetic fields contribute to the curvature of spacetime. I have a few questions:(adsbygoogle = window.adsbygoogle || []).push({});

1. Does a magnetic field in a current-free region of a curved spacetime still satisfy Laplace's equation? Or is there an adjustment needed to Laplace's equation?

2. If there is a magnetic dipole sitting in space, how strong would it need to be to create stable orbits for some object nearby?

3. Do there exist any naturally occurring magnetic fields in the universe strong enough to cause something to orbit it without additional matter?

4. Can humans generate magnetic fields strong enough to cause observable gravitational effects, ie an artificial gravity field?

5. Does there exist a nice solution for the metric due a general potential magnetic field? I did a literature search but only found specialized solutions for Swarzschild/Kerr metric with a magnetic dipole.

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# A How do magnetic fields curve spacetime?

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