Geometrodynamics: the nonlinear dynamics of curved spacetime

We review discoveries in the nonlinear dynamics of curved spacetime, largely made possible by numerical solutions of Einstein's equations.We discuss critical phenomena and self-similarity in gravitational collapse, the behavior of spacetime curvature near singularities, the instability of black strings in 5 spacetime dimensions, and the collision of four-dimensional black holes.We also discuss the prospects for further discoveries in geometrodynamics via observation of gravitational waves.

Hali tarjima qilinmagan