- Lie derivative
- Exterior product
- Tensor product
- Hodge operator
- Covariant derivative
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Kerr black hole
What we do?
Kerr black hole is a 4-dimentional Lorentz manifold M with zero Ricci curvature and group U(1)=S1 as a subgroup of the manifold isometry group.
For Kerr metric calculate the following:
For Kerr metric calculate the following:
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]:= |
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Kerr black hole
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=r2-rg r+a2, 
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