Consider the line element of the sphere of radius a: ds² = a ² (d0² + sin² 0 do ²). The only non-vanishing Christoffel symbols are rº = -sin cos 0, oo ГР = f ГФ ro 00 Φθ 1 tan 0 a) Write down the metric and the inverse metric, and use the definition 1 59 (μgvo + dvμo - doguv) = v vp
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