Biomedical subjects

Bernd G Schmidt

Publications and source records attributed to Bernd G Schmidt.

2 recordsLinked to original sources

PubMed2006

Codimension-two critical behavior in vacuum gravitational collapse.

We consider the critical behavior at the threshold of black-hole formation for the five-dimensional vacuum Einstein equations satisfying the cohomogeneity-two triaxial Bianchi type-IX ansatz. Exploiting a discrete symmetry present in this model we predict the existence of a codimension-two attractor. This prediction is confirmed numerically and the codimension-two attractor is identified as a discretely self-similar solution with two unstable modes.

Journal Article↗

PubMed2005

Critical behavior in vacuum gravitational collapse in 4 + 1 dimensions.

We show that the (4 + 1)-dimensional vacuum Einstein equations admit gravitational waves with radial symmetry. The dynamical degrees of freedom correspond to deformations of the three-sphere orthogonal to the (t,r) plane. Gravitational collapse of such waves is studied numerically and shown to exhibit discretely self-similar type II critical behavior at the threshold of black hole formation.

Journal Article↗