- #1

Onyx

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- TL;DR Summary
- Solving for General Geodesics in FLRW Metric

Once having converted the FLRW metric from comoving coordinates ##ds^2=-dt^2+a^2(t)(dr^2+r^2d\phi^2)## to "conformal" coordinates ##ds^2=a^2(n)(-dn^2+dr^2+r^2d\phi^2)##, is there a way to facilitate solving for general geodesics that would otherwise be difficult, such as cases with motion in both ##r## and ##\phi##? I'm curious because there seems to be an ##n## killing vector evident in the new form, but I don't know if that makes it any easier.