The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
The Formation of Black Holes in General Relativity
Abstract
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.
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Citations
Cites
Gravitational Collapse and Space-Time Singularities
Penrose, R. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.57 · Cited by 2,977
(1990) · French digital mathematics library (Numdam) · Cited by 919
Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
Fourès-Bruhat, Y. (1952) · Acta Mathematica · doi:10.1007/bf02392131 · Cited by 650
Nonlinear nature of gravitation and gravitational-wave experiments
Christodoulou, D. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.1486 · Cited by 638
Self-citationGlobal aspects of the Cauchy problem in general relativity
Choquet-Bruhat, Y., & Geroch, R. (1969) · Communications in Mathematical Physics · doi:10.1007/bf01645389 · Cited by 616
Uniform decay estimates and the lorentz invariance of the classical wave equation
Klainerman, S. (1985) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160380305 · Cited by 507
Violation of cosmic censorship in the gravitational collapse of a dust cloud
Christodoulou, D. (1984) · Communications in Mathematical Physics · doi:10.1007/bf01223743 · Cited by 473
Self-citationGravitational-wave bursts with memory: The Christodoulou effect
Thorne, K. S. (1992) · Physical Review D · doi:10.1103/physrevd.45.520 · Cited by 365
Invariant Formulation of Gravitational Radiation Theory
Pirani, F. A. E. (1957) · Physical Review · doi:10.1103/physrev.105.1089 · Cited by 338
The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field
Christodoulou, D. (1999) · The Annals of Mathematics · doi:10.2307/121023 · Cited by 329
Self-citationExamples of Naked Singularity Formation in the Gravitational Collapse of a Scalar Field
Christodoulou, D. (1994) · The Annals of Mathematics · doi:10.2307/2118619 · Cited by 304
Self-citationRendall, A. D. (1990) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1990.0009 · Cited by 276
The formation of black holes and singularities in spherically symmetric gravitational collapse
Christodoulou, D. (1991) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160440305 · Cited by 241
Self-citationThe Evolution Problem in General Relativity
Klainerman, S., & Nicolò, F. (2003) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-2084-8 · Cited by 213
Cited by
The entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.035002 · Cited by 706
The 1965 Penrose singularity theorem
Senovilla, J. M. M., & Garfinkle, D. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/12/124008 · Cited by 248
The BTZ black hole violates strong cosmic censorship
Dias, O. J. C., Reall, H. S., & Santos, J. E. (2019) · Journal of High Energy Physics · doi:10.1007/jhep12(2019)097 · Cited by 60
Metadata
- Authors
- Christodoulou, D.
- Venue
- EMS Monographs in Mathematics
- Publisher
- EMS Press
- Published
- 2009-01-10
- ISSN
- 2523-5192 (ISSN-L)
- 2523-5206
- DOI
- 10.4171/068
- OpenAlex
- W1654258743
- Cited by
- 293
- References
- 14
- FWCI
- 11.20
- Type
- book
- Language
- en
- Open access
- closed
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