52 citations · 114 across the 19 of their papers we have counts for
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On the nonuniqueness of free motion of the fundamental relativistic rotator
Łukasz Bratek
Consider a class of relativistic rotators described by position and a single null direction. Such a rotator is called fundamental if both its Casimir invariants are intrinsic dimen…
Skyrmion on a three--cylinder
Lukasz Bratek
The class of static, spherically symmetric, and finite energy hedgehog solutions in the SU(2) Skyrme model is examined on a metric three-cylinder. The exact analytic shape function…
Understanding the 1-Skyrmion
Lukasz Bratek
It is shown how the appearance of the 1-skyrmion on the three-sphere of radius L can be understood quantitatively by analyzing spectrum of the Hessian at the identity solution. Pre…
Linear stability analysis of hedgehogs in the Skyrme model on a three-sphere. Critical phenomena and spontaneously broken reflection symmetry
Lukasz Bratek
Linear stability analysis of the whole spectrum of static hedgehog solutions of the Skyrme model on the three-sphere of radius L is carried out. It turns out that only solutions th…