The field equations of general relativity are non-linear. There are exact analytic solutions to the equations for special symmetrical cases, e.g. Schwarzschild's solution for a black hole. But in general, wouldn't there be other chaotic solutions as well?(adsbygoogle = window.adsbygoogle || []).push({});

A chaotic system is analytically unpredictable; however, one or more so-called attractors constrain the system within defined regions of state space. These attractors in state space can be points, loops (periodic), or "strange" (non-periodic). I'm thinking that when a star undergoes gravitational collapse, it might not evolve into a classic, orderly, steady-state Schwarzschild black hole at all, but a chaotic system instead. And depending on the initial conditions of that star prior to the collapse, it could end up in any number of different chaotic states, depending on which attractor it encountered along the way.

Have there been attempts to solve the GR field equations either numerically or using analog computers, specifically for collapsing stars? Is there any literature on this subject?

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# Are Solutions to GR Field Equations Chaotic?

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