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© The scientific sentence. 2010


Relativity: Schwarzschild metric: Christoffel symbols



Γ000 = 0
Γ001 = (g00/2)∂1g00

Γ002 = 0
Γ003 = 0
Γ010 = (g00/2)∂1g00

Γ011 = 0
Γ012 = 0
Γ013 = 0
Γ020 = 0
Γ021 = 0
Γ022 = 0
Γ023 = 0
Γ030 = 0
Γ031 = 0
Γ032 = 0
Γ033 = 0
---------------
Γ100 = (g11/2)∂1g00

Γ101 = 0
Γ102 = 0
Γ103 = 0
Γ110 = 0
Γ111 = (g11/2)∂1g11

Γ112 = 0
Γ113 = 0
Γ120 = 0
Γ121 = 0
Γ122 = (g11/2)∂1g22

Γ123 = 0
Γ130 = 0
Γ131 = 0
Γ132 = 0
Γ133 = (g11/2)∂1g33

---------------
Γ200 = 0
Γ201 = 0
Γ202 = 0
Γ203 = 0
Γ210 = 0
Γ211 = 0
Γ212 = (g22/2)∂1g22

Γ213 = 0
Γ220 = 0
Γ221 = (g22/2)∂1g22

Γ222 = 0
Γ223 = 0
Γ230 = 0
Γ231 = 0
Γ232 = 0
Γ233 = (g22/2)∂2g33

---------------
Γ300 = 0
Γ301 = 0
Γ302 = 0
Γ303 = 0
Γ310 = 0
Γ311 = 0
Γ312 = 0
Γ313 = (g33/2)∂1g33

Γ320 = 0
Γ321 = 0
Γ322 = 0
Γ323 = (g33/2)∂2g33

Γ330 = 0
Γ331 = (g33/2)∂1g33

Γ332 = (g33/2)∂2g33

Γ333 = 0
---------------

J = 64






  


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