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1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μv VμVv: a) ds² = −(1+r²) dt² + dr2 1+2 + r² do², V³ = (V², V", V°) = (a, b, c)

1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μv VμVv: a) ds² = −(1+r²) dt² + dr2 1+2 + r² do², V³ = (V², V", V°) = (a, b, c)

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1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μv VμVv: a) ds² = −(1+r²) dt² + dr2 1+2 + r² do², V³ = (V², V", V°) = (a, b, c)
Transcribed Image Text:1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μv VμVv: a) ds² = −(1+r²) dt² + dr2 1+2 + r² do², V³ = (V², V", V°) = (a, b, c)
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