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- W1983017599 abstract "Previous studies of the semilinear wave equation in Minkowski space have shown a type of critical behavior in which large initial data collapse to singularity formation due to nonlinearities while small initial data does not. Numerical solutions in spherically symmetric Anti-de Sitter (AdS) are presented here which suggest that, in contrast, even small initial data collapse eventually. Such behavior appears analogous to the recent result of Ref. [1] that found that even weak, scalar initial data collapse gravitationally to black hole formation via a weakly turbulent instability. Furthermore, the imposition of a reflecting boundary condition in the bulk introduces a cut-off, below which initial data fails to collapse. This threshold appears to arise because of the dispersion introduced by the boundary condition." @default.
- W1983017599 created "2016-06-24" @default.
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- W1983017599 date "2013-04-11" @default.
- W1983017599 modified "2023-09-25" @default.
- W1983017599 title "Nonlinear collapse in the semilinear wave equation in AdS space" @default.
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- W1983017599 doi "https://doi.org/10.1103/physrevd.87.081501" @default.
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