Multiply Unstable Black Hole Critical Solutions

Abstract

The gravitational collapse of a complex scalar field in the harmonic map is modeled in spherical symmetry. Previous work has shown that a change of stability of the attracting critical solution occurs in parameter space from the discretely self-similarity critical (DSS) solution originally found by Choptuik to the continuously self-similar (CSS) solution found by Hirschmann and Eardley. In the region of parameter space in which the DSS is the attractor, a family of initial data is found which finds the CSS as its critical solution despite the fact that it has more than one unstable mode. An explanation of this is proposed in analogy to families that find the DSS in the region where the CSS is the attractor.

8 pages, 7 figures

References in corpus (5)

• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse
• The Choptuik spacetime as an eigenvalue problem
• Black Hole Criticality in the Brans-Dicke Model
• Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field

Cited by in corpus (10)

• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Critical phenomena in gravitational collapse - Living Reviews
• Evolutions of Magnetized and Rotating Neutron Stars
• Critical Phenomena Inside Global Monopoles
• Type II critical phenomena of neutron star collapse
• Critical gravitational collapse with angular momentum II: soft equations of state
• Critical collapse of a rotating scalar field in $2+1$ dimensions
• Unveiling horizons in quantum critical collapse
• Black Hole Critical Phenomena Without Black Holes