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Local Existence of Dynamical and Trapping Horizons
Open accessAbstract
Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in "horizon" i.e., a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation. We also show that under rather weak energy conditions this horizon must be either achronal or spacelike everywhere. Furthermore, we discuss the relation between "bounding" and "stability" properties of marginally outer trapped surfaces.
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Cites
Gravitational Collapse and Space-Time Singularities
Penrose, R. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.57 · Cited by 2,977
Cited by
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
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 spacetime positive mass theorem in dimensions less than eight
Eichmair, M., Huang, L.-H., Lee, D. A., & Schoen, R. (2015) · Journal of the European Mathematical Society · doi:10.4171/jems/584 · Cited by 82
Metadata
- Authors
- Andersson, L., Mars, M., & Simon, W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-09-09
- Volume
- 95
- Issue
- 11
- Pages
- 111102-111102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2025205452
- Cited by
- 245
- References
- 1
- FWCI
- 8.77
- Type
- journal article
- Language
- en
- Open access
- green
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