100th anniversary of the birth of Ya.B. Zeldovich

Geometrodynamics: the nonlinear dynamics of curved spacetime

California Institute of Technology, 1200 East California Boulevard, Pasadena, CA, 91125, USA

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.

Text can be downloaded in Russian. English translation is available here.
PACS: 04.20.−q, 04.25.dg, 04.25.dc, 04.50.Gh (all)
DOI: 10.3367/UFNe.0184.201404b.0367
Citation: Scheel M A, Thorne K S "Geometrodynamics: the nonlinear dynamics of curved spacetime" Phys. Usp. 57 342–351 (2014)
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Received: 9th, January 2014, 10th, January 2014

Оригинал: Шил М А, Торн К С «Геометродинамика: нелинейная динамика искривлённого пространства-времени» УФН 184 367–378 (2014); DOI: 10.3367/UFNr.0184.201404b.0367

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  2. A.A. Vikhlinin, A.V. Kravtsov et alClusters of galaxies57 317–341 (2014)
  3. V.A. Fok “The researches of A. A. Fridman on the Einstein theory of gravitation6 473–474 (1964)

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