Christoffel Symbol on a Spherical Metric

ds2=r2dθ2+11+r2sin2(θ)dϕ2ds^2 = r^2 \, d\theta^2 + \dfrac{1}{1+r^2} \sin^2 (\theta) \, d\phi^2

A strange metric on a sphere of radius rr is given by the invariant interval described above.

Compute the Christoffel symbol Γϕθϕ\large \Gamma^{\phi}_{\phi \theta}.

×

Problem Loading...

Note Loading...

Set Loading...