Recent content by Pogags

I was attempting to do this without using Maxima or the like, not to mention my coding is sub-par at best. I ended up finding using the metric and null geodesics to find that t(r)=tan-1(r), meaning for a photon leaving r=0 going to r=∞ it will reach ∞ at t=π/2, which is consistent with Anti-De...

This helps immensely thanks! I must have made a typo in Riemann tensor calculation, but going back through it I got the same answers as Pervect. Using these tensors, how could I calculate particle path? If I had photon shot from r = 0 at t = 0, moving along a geodesic in the outward radial...

I am doing some mathematical exercises with 3D anti-de sitter face using the metric ds2=-(1+r2)dt2+(1+r2)-1+r2dφ2 I found the three geodesics from the Christoffel symbols, and they seem to look correct to me. d2t/dλ2+2(r+1/r)*(dt/dλ)(dr/dλ)=0...

This clears up the problem thank you. That slipped my mind

I am trying to solve the following problem but have gotten stuck. Consider a massive particle moving in the radial direction above the Earth, not necessarily on a geodesic, with instantaneous velocity v = dr/dt Both θ and φ can be taken as constant. Calculate the components of the...