Critical phenomena in the aspherical gravitational collapse of radiation fluids

Abstract

We study critical phenomena in the gravitational collapse of a radiation fluid. We perform numerical simulations in both spherical symmetry and axisymmetry, and observe critical scaling in both supercritical evolutions, which lead to the formation of a black hole, and subcritical evolutions, in which case the fluid disperses to infinity and leaves behind flat space. We identify the critical solution in spherically symmetric collapse, find evidence for its universality, and study the approach to this critical solution in the absence of spherical symmetry. For the cases that we consider, aspherical deviations from the spherically symmetric critical solution decay in damped oscillations in a manner that is consistent with the behavior found by Gundlach in perturbative calculations. Our simulations are performed with an unconstrained evolution code, implemented in spherical polar coordinates, and adopting "moving-puncture" coordinates.

12 pages, 12 figures; matches version published in PRD

References in corpus (8)

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• On critical collapse of gravitational waves
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Cited by in corpus (20)

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• Integration of inhomogeneous cosmological spacetimes in the BSSN formalism
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• Numerical relativity in spherical coordinates with the Einstein Toolkit
• Critical collapse of rotating radiation fluids
• Aspherical deformations of the Choptuik spacetime
• Critical phenomena in the gravitational collapse of electromagnetic waves
• Critical behavior in 3-d gravitational collapse of massless scalar fields
• Critical phenomena in gravitational collapse with two competing massless matter fields
• Critical gravitational collapse with angular momentum
• Critical gravitational collapse with angular momentum II: soft equations of state
• Critical phenomena in the gravitational collapse of electromagnetic dipole and quadrupole waves
• Non-spherical effects on the mass function of Primordial Black Holes
• Critical collapse of ultra-relativistic fluids: damping or growth of aspherical deformations
• Critical Phenomena in Non-spherically Symmetric Scalar Bubble Collapse
• Simulations of Ellipsoidal Primordial Black Hole Formation
• Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
• Critical behavior of spherically symmetric domain wall collapse
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function