Recent content by felixphysics

\partialμgλρ - \partialρgμλ = 0 I have reaced to this statement. Is this true? How? What I thought is it looks like field strength tensor, but symmetric hence we can say it is true. Thank you.

Consider a 2-sphere S2 with coordinates xμ=(θ,\phi) and metric ds2=dθ2+sin2θ d\phi2 and a vector \vec{V} with components Vμ=(0,1). Calculate the following quantities. ∇θ∇\phiVθ ∇\phi∇θVθ