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Critical collapse of scalar fields beyond axisymmetry. (English) Zbl 1291.83141
Summary: 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 \(Y_{21}(\theta,\varphi)\). Independent of the strength of the anisotropy in the data, we find that supercritical collapse yields a black hole mass scaling \(M_h\propto(p-p^\ast)^\gamma\) with \(\gamma\approx 0.37\), 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.

83C57 Black holes
83-08 Computational methods for problems pertaining to relativity and gravitational theory
83C75 Space-time singularities, cosmic censorship, etc.
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
Full Text: DOI
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