38 citations · 71 across the 5 of their papers we have counts for
5 papers
A note on late-time tails of spherical nonlinear waves
Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski
We consider the long-time behavior of small amplitude solutions of the semilinear wave equation in odd spatial dimensions. We show that for the quadratic non…
Fractal Threshold Behavior in Vacuum Gravitational Collapse
Sebastian J. Szybka, Tadeusz Chmaj
We present the numerical evidence for fractal threshold behavior in the five dimensional vacuum Einstein equations satisfying the cohomogeneity-two triaxial Bianchi type-IX ansatz.…
Anomalously small wave tails in higher dimensions
Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski
We consider the late-time tails of spherical waves propagating on even-dimensional Minkowski spacetime under the influence of a long range radial potential. We show that in six and…
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)…
On asymptotic stability of the Skyrmion
Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski
We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal…