I'm interested in tetrad formalism for describing phenomenons near Kerr black hole. I've read some papers and I have a question about Localy Non-Rotating Frame (LNRF). In all papers is mentioned that most of astrophysically important cases are in equatorial plane (EP) and deals with EP only. Such tetrade looks:(adsbygoogle = window.adsbygoogle || []).push({});

##\omega^{(t)}{\mu}=(A,0,0,0) ##

##\omega^{(r)}{\mu}=(0,B,0,0) ##

##\omega^{(\theta)}{\mu}=(0,0,C,0) ##

##\omega^{(\phi)}{\mu}=(-\Omega_{LNRF} D,0,0,D) ##, where ##A,B,C,D, \Omega_{LNRF}##

we can find out from definition of tetrad and metric.

But what about out of EP? Is LNRF tetrad still in same form? Or there arise some extra expressions? Or how can I prove it that it is same on all ##\theta##?

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# I Tetrads in rotating spacetime

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