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Tensors and Relativity: Assignment 5

Hints 5

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  • (1) The first thing you should do is draw a spacetime diagram. Since light rays have speed c, we have

    equation305

    and

    equation307

    For low velocities of the rocket, you can use the Newtonian equations of motion to substitute for tex2html_wrap_inline313 and tex2html_wrap_inline315 . Finally expand and neglect terms of order tex2html_wrap_inline317 and tex2html_wrap_inline317 .

  • The rest of the assignment is just applying the results in section 6.4 of the lecture notes.
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