V2 For the following line elements and vector V", write down the metric, the inverse metric, and = 9μVμVv a) ds² = (1+r²) dt² + b) ds² = dr² 1+12 + r² do² = (V, V, Vº) = (a, b, c) —ddy, V" = (V, V³) = (a, b)

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V2
For the following line elements and vector V", write down the metric, the inverse metric, and
= 9μVμVv
a) ds² = (1+r²) dt² +
b) ds²
=
dr²
1+12
+ r² do²
= (V, V, Vº) = (a, b, c)
—ddy, V" = (V, V³) = (a, b)
Transcribed Image Text:V2 For the following line elements and vector V", write down the metric, the inverse metric, and = 9μVμVv a) ds² = (1+r²) dt² + b) ds² = dr² 1+12 + r² do² = (V, V, Vº) = (a, b, c) —ddy, V" = (V, V³) = (a, b)
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