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arXiv · 1310.1955

Critical Collapse of Scalar Fields Beyond Axisymmetry

James Healy·Pablo Laguna
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Abstract

We investigate non-spherically symmetric, scalar field collapse of a family of initial data consisting of a spherically symmetric profile with a deformation proportional to the real part of the spherical harmonic $Y_{21}(θ,φ)$. Independent of the strength of the anisotropy in the data, we find that supercritical collapse yields a black hole mass scaling $M_h \propto (p-p^*)^γ$ with $γ\approx 0.37$, a value remarkably close to the critical exponent obtained by Choptuik in his pioneering study in spherical symmetry. We also find hints of discrete self-similarity. However, the collapse experiments are not sufficiently close to the critical solution to unequivocally claim that the detected periodicity is from critical collapse echoing.

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James Healy, Pablo Laguna. 2014-03-28. Critical Collapse of Scalar Fields Beyond Axisymmetry. https://doi.org/10.1007/s10714-014-1722-2

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