1.a) Concider the 2-space consisting of a spherical shell at constan radius, r. In polar coordinates the line element on the surface can be written (a, b,∈ 1,2)
Homework Equations
ds2=gabdxadxb=r2dθ2+sin2θdφ2
calculate gab, Γabc, R1212, R2121, R11, R22, R
The Attempt at a Solution...