Critical collapse in the spherically symmetric Einstein-Vlasov model

Arman Akbarian and Matthew W. Choptuik
Phys. Rev. D 90, 104023 – Published 19 November 2014

Abstract

We solve the coupled Einstein-Vlasov system in spherical symmetry using direct numerical integration of the Vlasov equation in phase space. Focusing on the case of massless particles we study critical phenomena in the model, finding strong evidence for generic type I behavior at the black hole threshold that parallels what has previously been observed in the massive sector. For differing families of initial data we find distinct critical solutions, so there is no universality of the critical configuration itself. However we find indications of at least a weak universality in the lifetime scaling exponent, which is yet to be understood. Additionally, we clarify the role that angular momentum plays in the critical behavior in the massless case.

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  • Received 21 September 2014

DOI:https://doi.org/10.1103/PhysRevD.90.104023

© 2014 American Physical Society

Authors & Affiliations

Arman Akbarian1 and Matthew W. Choptuik2

  • 1Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
  • 2CIFAR Cosmology and Gravity Program Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada

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Vol. 90, Iss. 10 — 15 November 2014

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