Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime
General Relativity and Quantum Cosmology
2017-06-29 v1
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.
Keywords
Cite
@article{arxiv.1706.09078,
title = {Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime},
author = {Mark A. Scheel and Kip S. Thorne},
journal= {arXiv preprint arXiv:1706.09078},
year = {2017}
}
Comments
12 pages, 14 figures. Published in 2014 in Uspekhi Fizicheskikh Nauk and P N Lebedev Physics Institute of the Russian Academy of Sciences in an issue commemorating the 100th anniversary of the birth of Y B Zeldovich