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Unformatted text preview: usual Schwarzschild coordinates ( t, r, , ). 3. The radial curves with dr =q 2 M r dT are timelike and T is the proper time along these curves. Show that (a) these curves are geodesics which are asymptotically at rest at innity, and (b) they are orthogonal (in the sense of the spacetime metric) to the surfaces of constant T . 4. Draw a spacetime diagram of the ( r, T ) plane showing lines of constant r as vertical and lines of constant T as horizontal. Indicate (a) a radial geodesic dr =q 2 M r dT , (b) the light cone at various values of r , and (c) a line of constant Schwarzschild time t . 1...
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This document was uploaded on 12/29/2011.
 Fall '09
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