Recent content by Scherejg

Homework Statement The problem was to calculate the electric field inside an infinite length cylinder (with radius R) with a non uniform charge density. The charge density depended on r. Its easy enough to solve using a gaussian cylinder with r less than R. But what if I wanted to complicate...

For me, it was that gravity and geometry are one in the same.

Homework Statement Show that observers whose world-lines are the curves along which only ξ varies undergo constant proper acceleration with invariant magnitude ημν(duμ/dτ )(duν/dτ ) = 1/χ2. Homework Equations ds2 = −a2χ2dξ2 + dχ2 + dy2 + dz2 xμ = {ξ, χ, y, z} t = χsinh(aξ) x...

Okay, so I think I misread the problem. Your equation gives the proper time elapsed for a circular moving clock of uniform speed in reference to an inertial observer. I thought I also needed to use one of the clocks as an observer with a uniform circular motion reference frame, and try to...

Homework Statement Imagine two clocks that both perform uniform circular motion of radius a in the x-y plane, but in opposite directions: xμ(u) ={t, a cos(ωt),±a sin(ωt), 0}. Suppose these clocks are synchronized to agree when they are coincident at x = a at t = 0. How much time elapses until...