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1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μVHVV: dr² a) ds² = -(1 + r²) dt² + b) ds² = -drdy, V" = (V², V³) = (a, b) 1+r² +r²d0², VP = (V¹, Vr, Vº) = (a, b, c)

1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μVHVV: dr² a) ds² = -(1 + r²) dt² + b) ds² = -drdy, V" = (V², V³) = (a, b) 1+r² +r²d0², VP = (V¹, Vr, Vº) = (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 VVV. a) b) dr² ds² = −(1 + r²) dt² + +r²d0², V = (V, Vr, Vº) = (a,b,c) ds² = -dady, V" = (V², Vy) = (a, b) 1+r2
Transcribed Image Text:1. For the following line elements and vector V", write down the metric, the inverse metric, and V² = 9μv VVV. a) b) dr² ds² = −(1 + r²) dt² + +r²d0², V = (V, Vr, Vº) = (a,b,c) ds² = -dady, V" = (V², Vy) = (a, b) 1+r2
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