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**zortharg** I think you'd be disappointed. MOST of the coursework of the "graduate level" tensor analysis class I took in 2000 was focused on diddling around with Einstein summation notation, particularly Christoffel symbols. Though I do remember covering the shapes of geodesics on some surfaces, but not even anything like a spiral around a torus, more like "prove the geodesic around a sphere is always a circumference like an equator". Not once did we search for closed timelike curves around a rotating black hole.