Critical collapse in the spherically-symmetric Einstein-Vlasov model

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 behaviour 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 behaviour in the massless case.

arXiv comment17 pages, 12 figures

References in corpus (15)

• Critical phenomena in gravitational collapse
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Boson stars driven to the brink of black hole formation
• Phases of massive scalar field collapse
• Critical collapse of collisionless matter - a numerical investigation
• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system
• Static solutions of the spherically symmetric Vlasov-Einstein system
• On the steady states of the spherically symmetric Einstein-Vlasov system
• Critical phenomena at the threshold of black hole formation for collisionless matter in spherical symmetry
• Critical Phenomena in Neutron Stars II: Head-on Collisions
• Evolutions of Magnetized and Rotating Neutron Stars
• Critical Phenomena in Head-on Collisions of Neutron Stars
• Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system
• Critical Phenomena in Neutron Stars I: Linearly Unstable Nonrotating Models
• Universality and properties of neutron star type I critical collapses

Cited by in corpus (12)

• Accretion of a relativistic, collisionless kinetic gas into a Schwarzschild black hole
• An introduction to the relativistic kinetic theory on curved spacetimes
• Models for Self-Gravitating Photon Shells and Geons
• Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity
• Description of the evolution of inhomogeneities on a Dark Matter halo with the Vlasov equation
• Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
• The Einstein-Vlasov system in spherical symmetry: reduction of the equations of motion and classification of single-shell static solutions, in the limit of massless particles
• Veiled singularities for the spherically symmetric massless Einstein-Vlasov system
• Spherical accretion of a collisionless kinetic gas into a generic static black hole
• The Einstein-Vlasov system in spherical symmetry II: spherical perturbations of static solutions
• Gravitational collapse in the vicinity of the extremal black hole critical point
• Existence of steady states of the massless Einstein-Vlasov system surrounding a Schwarzschild black hole