Reissner-Nordström metric for magnetic fields

[Gavroy]

hey,

does anyone of you know the reissner-nordström metric, if there is a magnetic field instead of the coulomb field of a charged gravitating body?

i just need the formula, but i could not find it in the internet, maybe someone here knows it?

sorry for my english, but i am german

 

[betel]

For a magnetic monopol on the gravitating body, you only have to replace Q^2 by Q^2+P^2 where P is the charge of the magnetic monopole.

A nice derivation can be found here
http://gmammado.mysite.syr.edu/notes/RN_Metric.pdf

 

[Gavroy]

thanks, but i wanted to build in a homogenous magnetic field. does anyone have another idea?

 

[betel]

It should be possible to adapt the derivation in the paper i linked to, to a homogeneous magnetic field.
But this is not really sensible, as this magnetic field would have to be provided by the background.

 

[Gavroy]

okay, i will try it thank you!