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SageMath notebooks associated to the Black Hole Lectures (https://luth.obspm.fr/~luthier/gourgoulhon/bh16)
Project: BHLectures
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Equatorial geodesics in Kerr spacetime
In [1]:
The spacetime manifold and Boyer-Lindquist coordinates:
In [2]:
The spacetime metric:
In [3]:
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Value of in the equatorial plane ():
In [6]:
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Levi-Civita connection nabla_g associated with the Lorentzian metric g on the 4-dimensional differentiable manifold M
The 4-acceleration vector :
In [8]:
Values of the 4-acceleration in the equatorial plane ():
In [9]:
In [10]:
In [11]:
In [12]:
The (non-zero and non-redundant) Christoffel symbols in Boyer-Lindquist coordinates:
In [13]:
In [0]: