show that the divergence of the unit vecotor r is 2/r
I have done this using cartesian coordinates which is quite tedious,i was hoping someone could show me a way to do it with tensors
First we need to know that
is a basis and
we have the 1-form
The divergence is given by
where * is the Hodge Dual
This gives a two form, now taking the derivative
This gives a three form and now taking the dual gives a 0-form
So this is the divergence in spherical coordinates.