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The non-vanishing Christoffel symbols in the Schwarzschild spacetime are (see image aattached)

Write down the geodesic equations for the Schwarzschild spacetime and explain their relevance.

2. The non-vanishing Christoffel symbols in the Schwarzschild spacetime are
GM(r - 2GM)
p3
It tr
=
GM
r(r - 2GM)'
I 00 = −(r — 2GM),
Itt =
I = −(r - 2GM) sin² 0,
1
ГФ
ro
"
7
I",
rr
rº = ²
ro
GM
r(r - 2GM)'
го
ΦΦ
1
гроф
tan 0
r
Write down the geodesic equations for the Schwarzschild spacetime and explain their relevance.
==
sin cos 0,

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