Question

7. Consider a galaxy whose light we see today at time $t_0$ that was emitted at time $t_e$. Show that the present proper distance to the galaxy (along a curve of constant $t_0$) is $d = a(t_0) \int_{t_e}^{t_0} dt/a(t)$.

          7. Consider a galaxy whose light we see today at time $t_0$ that was emitted at time $t_e$.
Show that the present proper distance to the galaxy (along a curve of constant $t_0$) is
$d = a(t_0) \int_{t_e}^{t_0} dt/a(t)$.

Added by Timothy L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Consider a galaxy whose light we see today at time t0 that was emitted at time t. Show that the present proper distance to the galaxy (along a curve of constant t0) is âˆš(3n/p).