Back to Search
Start Over
Symmetry and instability of marginally outer trapped surfaces
- Source :
- Classical and Quantum Gravity, 41 (2024) 115003
- Publication Year :
- 2023
-
Abstract
- We consider an initial data set having a continuous symmetry and a marginally outer trapped surface (MOTS) that is not preserved by this symmetry. We show that such a MOTS is unstable except in an exceptional case. In non-rotating cases we provide a Courant-type lower bound on the number of unstable eigenvalues. These results are then used to prove the instability of a large class of exotic MOTSs that were recently observed in the Schwarzschild spacetime. We also discuss the implications for the apparent horizon in data sets with translational symmetry.<br />Comment: 17 pages, 2 figures. Additional references added in v2
- Subjects :
- General Relativity and Quantum Cosmology
Mathematics - Differential Geometry
Subjects
Details
- Database :
- arXiv
- Journal :
- Classical and Quantum Gravity, 41 (2024) 115003
- Publication Type :
- Report
- Accession number :
- edsarx.2311.02063
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1361-6382/ad3dab