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Finding Null Geodesic Equations for Einstein's Metric in Curved Space
Homework Statement I'm given the metric for Einstein's universe, ds2 = c2dt2 - dr2/(1 - kr2) - r2d(theta)2 - r2sin2(theta)d(phi)2 and asked to find the null geodesic equations and show that in the plane theta=\pi/2, the curves satisfy the equation: (dr/d(phi))2 = r2(1-kr2)(mr2-1) where m is a...- Shadowlass
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- Forum: Advanced Physics Homework Help