1. The non-vanishing Christoffel symbols in the Schwarzschild spacetime are It tr = GM r(r - 2GM)' GM(r-2GM) Itt = роз - Tee = (r-2GM), Γ' = -(r - 2GM) sin² 0, Γ' τ = TT GM r(r-2GM) Ꮁ = Ꮁ ΦΟ = - - sin cos 0, ΓΦ " Граф 1 tan Write down the geodesic equations for the Schwarzschild spacetime and explain their relevance.
1. The non-vanishing Christoffel symbols in the Schwarzschild spacetime are It tr = GM r(r - 2GM)' GM(r-2GM) Itt = роз - Tee = (r-2GM), Γ' = -(r - 2GM) sin² 0, Γ' τ = TT GM r(r-2GM) Ꮁ = Ꮁ ΦΟ = - - sin cos 0, ΓΦ " Граф 1 tan Write down the geodesic equations for the Schwarzschild spacetime and explain their relevance.
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Transcribed Image Text:1. The non-vanishing Christoffel symbols in the Schwarzschild spacetime are
It tr
=
GM
r(r - 2GM)'
GM(r-2GM)
Itt =
роз
-
Tee = (r-2GM),
Γ'
=
-(r - 2GM) sin² 0,
Γ' τ
=
TT
GM
r(r-2GM)
Ꮁ
=
Ꮁ
ΦΟ
=
-
- sin cos 0,
ΓΦ
"
Граф
1
tan
Write down the geodesic equations for the Schwarzschild spacetime and explain their relevance.
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