Critical Collapse of Scalar Fields Beyond Axisymmetry

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 $Y_{21}(\theta ,\phi )$. 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.

14 pages, 7 figures and 1 table, replaced with version accepted for publication in GRG

References in corpus (3)

• Collapse of Nonlinear Gravitational Waves in Moving-Puncture Coordinates
• On critical collapse of gravitational waves
• Critical Behavior in the Gravitational Collapse of a Scalar Field with Angular Momentum in Spherical Symmetry

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