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Problem 2 Compute the Christoffel symbol I's of a 2-dimensional space-time with line element ds2 = -dt2 +x2dx2. Show that lightlike geodesics in this space-time

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Problem 2 Compute the Christoffel symbol I's of a 2-dimensional space-time with line element ds2 = -dt2 +x2dx2. Show that lightlike geodesics in this space-time are such that t()) and x())2 are linear in the affine parameter 1

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