Dirac Spinor Waves and Solitons in Anisotropic Taub-NUT Spaces

We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein-Dirac equations in five dimensional (5D)gravity. Such solutions are parametrized by off-diagonal metrics in coordinate (holonomic) bases, or, equivalently, by diagonal metrics given with respect to some anholonomic frames (pentads, or funfbiends, satisfing corresponding constraint relations). We consider two possibilities of generalization of the Taub NUT metric in order to obtain vacuum solutions of 5D Einsitein equations with effective renormalization of constants having distinguished anisotropies on an angular parameter or on extra dimension coordinate. The constructions are extended to solutions describing self-consistent propagations of 3D Dirac wave packets in 5D anisotropic Taub NUT spacetimes. We show that such anisotropic configurations of spinor matter can induce gravitational 3D solitons being solutions of Kadomtsev-Petviashvili or of sine-Gordon equations.Comment: revtex, 16 pages, version 4, affiliation changed, accepted to CQ

RARE CASE OF FEMALE BEHÇET’S DISEASE WITH UROLOGICAL INVOLVEMENT

Behçet’s disease is a systemic vasculitis with several well-defined organ manifestations, including various mucocutaneous features. Among them, the urinary tract involvement is rarely cited, most data focusing on bladder dysfunction due to neuroBehçet. This article presents a rare case of a young female patient with urological complaints that was diagnosed with right ureteral ulceration, later confirmed as vasculitis at the histopathological examination. Urological intervention together with adequate immunosuppression let to the healing of the ulcerative lesion. The unusual vasculitic lesion site indicates the complexity of Behçet’s disease that requires careful investigation and treatment