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arXiv · 1706.09078

Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime

Mark A. Scheel·Kip S. Thorne
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Abstract

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.

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Mark A. Scheel, Kip S. Thorne. 2017-06-28. Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime. https://doi.org/10.3367/ufne.0184.201404b.0367

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