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Tensors and Relativity: Chapter 8

The Christoffel symbols

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The next step on our journey towards the solution of the field equations is to calculate the components of the Christoffel symbols .

We have

equation995

Of the total of forty independent components, only twelve are non- zero, for example

eqnarray997

so

equation999

where tex2html_wrap_inline1234 is denoted by a prime. The rest of the components are [ Assignment 7]

eqnarray1001

eqnarray1003

eqnarray1005

eqnarray1007

where the dot denotes tex2html_wrap_inline1236 .


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