3. Consider the line element of the sphere of radius a: ds² = a² (do² + sin² 0 do²). The only non-vanishing Christoffel symbols are го ΦΦ = - sin cos 0, ΓΦ 00 1 фо tan 0 b) Write down the two components of the geodesic equation.

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3. Consider the line element of the sphere of radius a:
ds² = a² (do² + sin² 0 do²).
The only non-vanishing Christoffel symbols are
го
ΦΦ
=
- sin cos 0,
ΓΦ
00
1
фо
tan 0
b) Write down the two components of the geodesic equation.
Transcribed Image Text:3. Consider the line element of the sphere of radius a: ds² = a² (do² + sin² 0 do²). The only non-vanishing Christoffel symbols are го ΦΦ = - sin cos 0, ΓΦ 00 1 фо tan 0 b) Write down the two components of the geodesic equation.
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