# 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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