The Formation of Black Holes in General Relativity

By D. Christodoulou. 2008

447 citations recorded by the source corpus.

The subject of this work is the formation of black holes in pure general relativity, by the focusing of incoming gravitational waves. The theorems established in this monograph constitute the first foray into the long time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitably small neighborhood of Minkowskian data. The theorems are general, no symmetry conditions on the initial data being imposed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/17a7e5e5e673b12e32567a9d5ac63b51bac05d4e

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Citations in the corpus

The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon (2017, methodology): “If the electromagnetic tensor F is non-trivial, such data necessarily have two ends, while if F = 0, then the model reduces to the self-gravitating scalar field model pioneered by Christodoulou [16, 17, 19], mentioned already in Section 1.1.1.”
Black Holes Without Spacelike Singularities (2012, background): “5We emphasise, however, that this is a very soft result in comparison with Christodoulou’s seminal proof [12] of weak cosmic censorship in the case of one end, where the main obstacle is null boundary components emanating from the centre of symmetry.”
The Global Nonlinear Stability of Minkowski Space for Self-gravitating Massive Fields (2015, methodology): “Let us emphasize that the vacuum Einstein equations are currently under particularly active development: this is illustrated by the recent contributions by Christodoulou [7] and Klainerman and Rodnianski [22] (on the formation of trapped surfaces) and by Klainerman, Rodnianski and Szeftel [23] (on t”
The 1965 Penrose singularity theorem (2014, background): “In [63] the existence of open sets of initial data, termed “short pulses”, leading upon evolution to the formation of future-trapped surfaces was shown rigorously.”
Extensions of the Stability Theorem of the Minkowski Space in General Relativity (2009, methodology): “This paper discusses the main results and steps of the proof of [6], [7], dealing with the global, nonlinear stability of solutions of the Einstein vacuum equations in General Relativity.”
Horizon Instability of Extremal Black Holes (2012, unknown): “More precisely, in the context of the formulation of [9], the rigidity statement for extremal horizons says that the induced metric g/ of the horizon sections, the torsion η and the curvature components ρ, σ coincide with those of extremal Kerr (or Kerr–Newman).”