Recent content by tcw

Thanks pervect, your post has helped me out. For the initial conditions in my original numerical integration, it turns out using 2M/b for (du/dphi) works.

Thank you both for your help. Ben, I have read through the article linked and it has given me some thoughts on how to approach the initial conditions problem; namely, instead of using the initial conditions from far off we use the impact parameter (b, say) as an initial condition starting...

In trying to compute deflection angles for photons given their impact parameter (closest distance of trajectory to centre of black hole if unaffected) I am trying to numerically integrate the following equation (d^2/d(phi)^2)(u)+u=3Mu^2. However I am stuck as to how to work out the initial...

Homework Statement Starting off with a general axisymmetric metric: ds^{2}=g_{tt}dt^{2}+2g_{t\phi }dtd\phi + g_{\phi \phi }d\phi^{2} +g_{rr}dr^2 + g_{\theta \theta }d\theta ^2...\left ( 1 \right ) where the metric components are functions of r and theta only. I have deduced (using...

Thanks for your help, I'll do that then.

Should I latex it up to get responses?

I've spent a bit more time and still no luck. Any pointers?

Homework Statement Starting from a general axisymmetric metric ds^2=g_tt dt^2 + 2g_tφ dtdφ +g_φφ dφ^2 + g_rr dr^2+g_θθ dθ^2 ...(0) where the metric components are functions of the coordinates r and θ only. I've managed to show (via Euler-Lagrange equations) that g_tt dt/dτ + g_tφ...