- Lie derivative
- Exterior product
- Tensor product
- Hodge operator
- Covariant derivative
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Schwarzschild black hole with cosmological constant
What we do?
Schwarzschild black hole with cosmological constant is 4-dimentional Lorentz manifold with constant Ricci curvature, timelike Killing vector field 
and group SO(3) as a subgroup of the manifold isometry group (with spacelike orbits).
and group SO(3) as a subgroup of the manifold isometry group (with spacelike orbits).
Solution:
| Domain[manifold] | manifold - string - a manifold name or a name of a manifold domain. |
| Metric[id→expr] | id - variable - metric identifier, expr - expression - metric declaration. |
| Connection[id] | id - variable - connection identifier. |
| In[1]:= |
Schwarzschild metric
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Out[8]//MatrixForm= | |
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Out[10]//MatrixForm= | |
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