Critical behavior of spherically symmetric domain wall collapse
arXiv:1610.07280 · doi:10.1103/PhysRevD.94.124032
Abstract
Critical collapse of a spherically symmetric domain wall is investigated. The domain wall is made of a minimally coupled scalar field with a double well potential. We consider a sequence of the initial data which describe a momentarily static domain wall characterized by its initial radius. The time evolution is performed by a full general relativistic numerical code for spherically symmetric systems. In this paper, we use the maximal slice gauge condition, in which spacelike time slices may penetrate the black hole horizon differently from other widely used procedures. In this paper, we consider two specific shapes of the double well potential, and observe the Type II critical behavior in both cases. The mass scaling, sub-critical curvature scaling, and those fine structures are confirmed. The index of the scaling behavior agrees with the massless scalar case.
arXiv comment18 pages, 11 figures
References in corpus (21)
- On the Numerical Integration of Einstein's Field Equations
- Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
- Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
- Critical phenomena in gravitational collapse
- Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
- On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity
- Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
- Understanding critical collapse of a scalar field
- Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse
- Phases of massive scalar field collapse
- Scaling of curvature in sub-critical gravitational collapse
- Critical phenomena at the threshold of black hole formation for collisionless matter in spherical symmetry
- Regularization of spherically symmetric evolution codes in numerical relativity
- On critical collapse of gravitational waves
- Collapse of self-interacting fields in asymptotically flat spacetimes: do self-interactions render Minkowski spacetime unstable?
- Critical collapse of rotating radiation fluids
- Black hole critical behaviour with the generalized BSSN formulation
- Critical phenomena in the aspherical gravitational collapse of radiation fluids
- Critical Phenomena in Non-spherically Symmetric Scalar Bubble Collapse
- Multi-horizon and Critical Behavior in Gravitational Collapse of Massless Scalar
- Gravitational collapse of thick domain walls