You parallel-transport a contravariant vector A around the circle r = 6GM, 0 = /2 in...

 

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You parallel-transport a contravariant vector A" around the circle r = 6GM, 0 = л/2 in the Schwarzschild geometry (see the preceding problem). If the vector initially has components A¹ = (0, 1, 0, 0), what will be its components after it has been transported around the circle? Assume that the transport is instantaneous (dt = = 0). You parallel-transport a contravariant vector A" around the circle r = 6GM, 0 = л/2 in the Schwarzschild geometry (see the preceding problem). If the vector initially has components A¹ = (0, 1, 0, 0), what will be its components after it has been transported around the circle? Assume that the transport is instantaneous (dt = = 0).

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In the Schwarzschild geometry the metric for a contravariant vector is given by ds... View the full answer