Problem I Consider a particle moving at fixed Rindler coordinate x...

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Problem I Consider a particle moving at fixed Rindler coordinate x = 1/g. a) What is the infinitesimal proper time dr in terms of dT? b) Compute the Minkowski components of the 4-velocity u° = dx°/dr by differentiating / = x sinh T. . = x coesh T. with respect to T and then multiplying by dT/dr. c)Repeat this procedure to compute the acceleration a° = du'/dr. Note that this expression for the acceleration is valid only in Minkowski space! (Oth- erwise a° = Vuv°.) d) Finally, verify the result a of for this worldline.

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1. a)
From the definition of the 2D Rindler metric, we see that
          1
𝑑𝜏 = ------- 𝑑𝑇
          𝑔...

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