Gravitomagnetism: Derivation, Theory & Insights - Bill

[bhobba]

I often post a derivation of Maxwell's equations from Coulomb's Law and SR:
http://cse.secs.oakland.edu/haskell/Special Relativity and Maxwells Equations.pdf

The author has also published book about it, I sort of on a whim purchased:
https://www.amazon.com/dp/1516864743/?tag=pfamazon01-20

In it he also applied the same derivation to gravity, and not surprisingly ends up with the Gravitomagnetic equations. They are, unlike Maxwell's equations, not relativistically invariant, nor do they take into account gravity gravitates that Peter Donis wrote excellent insight articles about:
https://www.physicsforums.com/insights/does-gravity-gravitate/

It must fail because unlike electric charge mass 'charges' are not invariant as it forms part of the stress energy tensor.

My query is does anyone know any literature about the gravitomagnetic theory being some kind f limiting case of GR, like linearised gravity is?

Thanks
Bill

 

[PeterDonis]

They are, unlike Maxwell's equations, not relativistically invariant

Yes, that's because the source, unlike in the Maxwell case, is not a 4-vector, but a tensor.

does anyone know any literature about the gravitomagnetic theory being some kind f limiting case of GR, like linearised gravity is?

Section 1.2 of this paper might be the sort of thing you are looking for:

https://arxiv.org/pdf/gr-qc/0311030.pdf

 

[robphy]

I often post a derivation of Maxwell's equations from Coulomb's Law and SR:
http://cse.secs.oakland.edu/haskell/Special Relativity and Maxwells Equations.pdf

Hmm... Haskell appears to use a Loedel-type diagram and analysis, which works for special cases... but is limited, compared to a Minkowski diagram and its methods.

On gravitomagnetism,
this ancient thread (my post and the rest of thread) might be of interest.
https://www.physicsforums.com/threads/there-is-no-gravitational-dipole.80710/#post-691492
https://www.physicsforums.com/threads/gravitomagnetism-and-gr.54932/

 

[vanhees71]

It's not about gravitomagnetism, but as usual Feynman is a very good read to get an alternative view on fundamental physics:

R. P. Feynman, Feynman lectures on gravitation,
Addison-Wesley, Reading, Massachusetts (1996).