Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
BowenPing`STensor`
WeylTensor  |
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Details and Options
Examples
(6)
Basic Examples
(1)
Given the Schwarzschild metric :
In[1]:=
g=
"g",{t,r,θ,ϕ},DiagonalMatrix-1-,,,,
True;wy=
[g]
 | CreateTensor |
2M
r
-1
1-
2M
r
2
r
2
r
2
Sin[θ]
 | IsMetric |
 | WeylTensor |
Out[1]=
STensor
 |  |
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Show all simplified components in MatrixForm:
In[2]:=
wy["Components"]//Simplify//MatrixForm
Out[2]//MatrixForm=
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We only care about non-zero components:
In[3]:=
wy["Non-zero Components"]//Column
Out[3]=
Weyl(g) 1,2,1,2 2M(2M-r) 1- 2M r 4 r |
Weyl(g) 1,2,2,1 2M-1+ 2M r (2M-r) 2 r |
Weyl(g) 1,3,1,3 M(-2M+r) 2 r |
Weyl(g) 1,3,3,1 M-1+ 2M r r |
Weyl(g) 1,4,1,4 M(-2M+r) 2 Sin[θ] 2 r |
Weyl(g) 1,4,4,1 M-1+ 2M r 2 Sin[θ] r |
Weyl(g) 2,1,1,2 2M(2M-r) 1- 2M r 4 r |
Weyl(g) 2,1,2,1 2M-1+ 2M r (2M-r) 2 r |
Weyl(g) 2,3,2,3 M 2M-r |
Weyl(g) 2,3,3,2 M 1- 2M r |
Weyl(g) 2,4,2,4 M 2 Sin[θ] 2M-r |
Weyl(g) 2,4,4,2 M 2 Sin[θ] 1- 2M r |
Weyl(g) 3,1,1,3 M(-2M+r) 2 r |
Weyl(g) 3,1,3,1 M-1+ 2M r r |
Weyl(g) 3,2,2,3 M 2M-r |
Weyl(g) 3,2,3,2 M 1- 2M r |
Weyl(g) 3,4,3,4 2 Sin[θ] |
Weyl(g) 3,4,4,3 2 Sin[θ] |
Weyl(g) 4,1,1,4 M(-2M+r) 2 Sin[θ] 2 r |
Weyl(g) 4,1,4,1 M-1+ 2M r 2 Sin[θ] r |
Weyl(g) 4,2,2,4 M 2 Sin[θ] 2M-r |
Weyl(g) 4,2,4,2 M 2 Sin[θ] 1- 2M r |
Weyl(g) 4,3,3,4 2 Sin[θ] |
Weyl(g) 4,3,4,3 2 Sin[θ] |