I'm trying to figure out how the element of solid angle transforms under a transformation between two inertial frames moving with velocity v w.r.t. each other under an arbitrary direction. But I should say I disappointed myself! Anyway, some books which contain a brief discussion on this(which doesn't include an actual derivation!), simply state that ## d\varphi'=d\varphi ##, but this is not at all trivial to me! What should I do?(adsbygoogle = window.adsbygoogle || []).push({});

In my desperate actions toward the above goal, I managed to get myself confused about something else too! How curvilinear coordinates transform under Lorentz transformation?

I'll appreciate any suggestion about the above problems.

Thanks

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# Transformation of solid angle

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