Comparisons of Solutions at R=0.1M0


The Quasi-Equilibrium solution compared to the exact, integrated solution

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In this ultra-strong gravitational field, the approximation that the oscillation time scale is much shorter than the characteristic gravitational damping timescale breaks down. Thus the QE approximation fails. In the above movie we see the evolution of the shell and plot the exact wavetrain.

Here we compare the QE wavetrain with the exact, integrated solution. Note that the QE approximation is breaking down in this ultra-strong gravitational field.

last updated 6 Nov 14 aakhan3