We consider spherically symmetric linear perturbations of static spacetimes where the matter content is ellectrically counterpoised dust. show that evolution equation for fluid perturbation implies elements move with constant velocities. Therefore there are neither oscillations nor exponential departure from background solution. present an explicit example shows could lead to formation a black ...

Abstract We study the restriction to Sylow subgroups of irreducible characters symmetric groups. In particular, we give a precise description degrees constituents in terms shape partition that labels given character. Our main result is wide generalization [Giannelli and Navarro (Proc Am Math Soc 146(5):1963–1976, 2018), Theorem 3.1].

We present a simple quantum mechanical model describing excited rotational states of molecules in superfluid helium nanodroplets, as recently studied non-adiabatic molecular alignment experiments [Cherepanov et al., Phys. Rev. A 104, L061303 (2021)]. show that linear molecule immersed can be seen an effective symmetric top, similar to the structure radicals, such OH or NO, but with angular mome...