In classical mechanics you want to calculate the moment of inertia for hollow & solid:(adsbygoogle = window.adsbygoogle || []).push({});

lines, triangles, squares/rectangles, polygons, planes, pyramids, cubes/parallelepiped's, circles, ellipses, parabola's, hyperbola's, sphere's, ellipsoid's, paraboloid's, hyperboloid's, cones & cylinder's

setting them up in either scalar notation or in tensor notation(i.e. two ways of thinking for all those cases which requires two very error-prone constructions), which at least for me is an immense task I still haven't fully carried out

My question is, how does all this translate over the special &/or (?) general relativity? Do you have to re-do every one of those calculations from a more general standpoint or is it just that the density in the integral is usually veriable?

As a side note, is there an easier & more way to do all of the above? For instance, in calculus books they sometimes put MoI into 3 different chapters, leading to single, double & triple integral modellingon top ofphysical modelling (in physics books) or tensor modelling (in advanced physics books) which is really 5 f'ing ways to do about 30 calculations However, you can apparently sometimes use Stokes theorem

e.g. http://www.slideshare.net/corneliuso1/green-theorem (slide 26)

to show some of these models are exactly equivalent, but how do I deal with it all in general in a unified manner? Thanks

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# Moment of Inertia in SR & GR?

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