(a) Prove that ÎÎ¼Î±Î² = ÎÎ¼Î²Î± in any coordinate system in a curved Riemannian space. (b) Use...

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(a) Prove that Î“Î¼Î±Î² = Î“Î¼Î²Î± in any coordinate system in a curved Riemannian space.
(b) Use this to prove that Eq. (6.32) can be derived in the same manner as in flat space.
Eq.(6.32)

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A First Course in General Relativity

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Authors: Bernard Schutz

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Question Posted: Jun 21, 2016 07:57 AM

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(a) Prove that ÎÎ¼Î±Î² = ÎÎ¼Î²Î± in any coordinate system in a curved Riemannian space. (b) Use...

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78 (EBu.v + 8Bv.u – 8uv.ß): %3D Suv.ß).

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a This Exercise is so important one really must do it By the local fatness ...View the full answer

A First Course in General Relativity

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