Recent content by bravelittlemu

In general, what can one say about the relationship between geodesic motion of (massive and massless) particles and the killing vectors associated with the metric?

That is it. The book uses z = μ + iυ (nu) to represent a complex number and upon closer inspection (holding the book up to my face) the exponent is iv (in cursive, go figure.). Thanks all!

Hi Hamster, My textbook explicitly states that it is a 4th-order DE and the purpose of the example is to build a basis of solutions to the DE.

My textbook. :D Birkhoff, Rota, Ordinary Differnential Equations (4th), 1989, pg 73 Example 1

I am not interested in the solution, but I am curious what makes: uiv = u, a 4th-order ordinary differential equation. 'i' is the square-root of -1, v is some element of the reals, and the differentiating variable is x. cheers