- #1
snoopies622
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- TL;DR Summary
- Wondering how to find the escape velocity formula consistent with relativity.
I was surprised to read that the formula for escape velocity — at least for a spherical mass like the Earth — is the same in relativity as it is in classical physics:
[tex]
v_e = (2GM/r)^{1/2}
[/tex]
I'm wondering if someone can give me a good source for deriving this. (I assume one takes a radial geodesic starting at rest from infinity using the Schwarzschild metric and finding its velocity at radius r?) Thanks.
[tex]
v_e = (2GM/r)^{1/2}
[/tex]
I'm wondering if someone can give me a good source for deriving this. (I assume one takes a radial geodesic starting at rest from infinity using the Schwarzschild metric and finding its velocity at radius r?) Thanks.