143 citations · 300 across the 9 of their papers we have counts for
9 papers
Gravitational Solitons and the Squashed Seven-Sphere
P. Bizon, T. Chmaj, G. W. Gibbons +1
We discuss some aspects of higher-dimensional gravitational solitons and kinks, including in particular their stability. We illustrate our discussion with the examples of (non-BPS)…
Bifurcation and fine structure phenomena in critical collapse of a self-gravitating -field
Peter C. Aichelburg, Piotr Bizon, Zbislaw Tabor
Building on previous work on the critical behavior in gravitational collapse of the self-gravitating SU(2) -field and using high precision numerical methods we uncover a fine st…
On vacuum gravitational collapse in nine dimensions
P. Bizoń, T. Chmaj, A. Rostworowski +2
We consider the vacuum gravitational collapse for cohomogeneity-two solutions of the nine dimensional Einstein equations. Using combined numerical and analytical methods we give ev…
Periodic self-similar wave maps coupled to gravity
P. Bizoń, S. Szybka, A. Wassserman
We continue our studies of spherically symmetric self-similar solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods we show existence…
On blowup for Yang-Mills fields
P. Bizoń, Z. Tabor
We study development of singularities for the spherically symmetric Yang-Mills equations in dimensional Minkowski spacetime for (the critical dimension) and (the…
Dispersion and collapse of wave maps
P. Bizoń, T. Chmaj, Z. Tabor
We study numerically the Cauchy problem for equivariant wave maps from 3+1 Minkowski spacetime into the 3-sphere. On the basis of numerical evidence combined with stability analysi…