Perturbations of an exact solution for (2+1)-dimensional critical collapse

@article{Garfinkle2002PerturbationsOA,
  title={Perturbations of an exact solution for (2+1)-dimensional critical collapse},
  author={D. Garfinkle and C. Gundlach},
  journal={Physical Review D},
  year={2002},
  volume={66},
  pages={044015}
}
We find the perturbation spectrum of a family of spherically symmetric and continuously self-similar (CSS) exact solutions that appear to be relevant for the critical collapse of scalar field matter in 2+1 spacetime dimensions. The rate of exponential growth of the unstable perturbation yields the critical exponent. Our results are compared to the numerical simulations of Pretorius and Choptuik and are inconclusive: We find a CSS solution with exactly one unstable mode, which suggests that it… Expand
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Collapse of a scalar field in 2 + 1 gravity
Critical Phenomena in Gravitational Collapse
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References

SHOWING 1-5 OF 5 REFERENCES
Phys
  • Rev. Lett. 70, 9
  • 1993
Commun
  • Math. Phys. 105, 337
  • 1986
Phys
  • Rev. D 60, 104007
  • 1999
Phys
  • Rev. D 51, 3992
  • 1995
Phys
  • Rev. Lett. 70, 2980
  • 1993