Abstract We construct an approximate solution which describes the gravitational emission from a naked singularity formed by the gravitational collapse of a cylindrical thick shell composed of dust. The assumed situation is that the collapsing speed of the dust is very large. In this situation, the metric variables are obtained approximately by a kind of linear perturbation analysis in the backg...

We start with any polynomial p(x, y) defining a plane curve with singularity at 0 ∈ C. Let π: C̃ → C denote the blow-up of C at the origin and let j be a positive integer. The data (j, p) determines a holomorphic bundle E(j, p) on C̃ with splitting type j and extension class p. We then algorithmically compute numerical invariants of the bundle E(j, p) and use them as invariants of the curve. A co...

Braneworlds, understood here as double domain wall spacetimes, can be described in terms of a linear harmonic function, with kinks at the locations of the boundary branes. In a dynamical setting, there is therefore the risk that the boundary brane of negative tension, at whose location the value of the harmonic function is always lowest, can encounter a zero of this harmonic function, correspon...

The double universal joint robot wrist can eliminate singularities which limit the performance of existing industrial robot wrists. Unfortunately, this singularity-free wrist has an offset which prevents decoupling of the position and orientation in the manipulator inverse kinematics problem. Closed-form solutions are difficult, if not impossible, to find. This paper solves the inverse position...