We study analytically the spacelike singularity inside a spherically-symmetric, charged black hole coupled to a self-gravitating spherical massless scalar field. We assume spatial homogeneity, and find a generic solution in terms of a formal series expansion. This solution is tested against fullynonlinear and inhomogeneous numerical simulations. We find full compliance between our analytical so...

A generalised Thurston-Bennequin invariant for a Q-singularity of a real algebraic variety is defined as a linking form on the homologies of the real link of the singularity. The main goal of this paper is to present a method to calculate the linking form in terms of the very good resolution graph of a real normal unibranch singularity of a real algebraic surface. For such singularities, the va...

In a recent paper [3], Y. Cao and Y. Xu established the Galerkin method for weakly singular Fredholm integral equations that preserves the singularity of the solution. Their Galerkin method provides a numerical solution that is a linear combination of a certain class of basis functions which includes elements that reflect the singularity of the solution. The purpose of this paper is to extend t...

In this paper we address the problem of identifying the property of the singularity loci of a class of 6/6-Gough–Stewart manipulators in which the moving and base platforms are two similar semiregular hexagons. After constructing the Jacobian matrix of this class of 6/6-Gough–Stewart manipulators according to the theory of statical equilibrium, we derive a cubic polynomial expression in the mov...

This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model through a quantum spin chain. In particular, finite-size scaling measurements on the quantum spin chain are used to determine the low-lying excitation spectrum and central charge at the Yang-Lee edge singularity. The measured values are consistent with predictions for the (A4, A1) minimal conformal field theory. ...

At a two-fold singularity, the velocity vector of a flow switches discontinuously across a codimension one switching manifold, between two directions that both lie tangent to the manifold. Particularly intricate dynamics arises when the local flow curves towards the switching manifold from both sides, a case referred to as the Teixeira singularity. The flow locally performs two different action...

from which the global properties can be understood. Here r(u, v) and w(u, v) are certain functions whose details are not so material. The important properties come from the singularities at uv = 1. There are two branches of this singularity, as u and v may be both negative or both positive. The “physical region” is the region uv < 1 between the two singularities. The branch of the singularity w...

We consider the role of quantum effects, mainly, Weyl anomaly in modifying FLRW model singular behavior at early times. Weyl anomaly corrections to FLRWmodels have been considered in the past, here we reconsider this model and show the following: The singularity of this model is weak according to Tipler and Krolak, therefore, the spacetime might admit a geodesic extension. Weyl anomaly correcti...

Here we present Singularity, software developed to bring containers and reproducibility to scientific computing. Using Singularity containers, developers can work in reproducible environments of their choosing and design, and these complete environments can easily be copied and executed on other platforms. Singularity is an open source initiative that harnesses the expertise of system and softw...

In this paper, a particular actuation singularity of a 3-RPS symmetrical rotational parallel mechanism (PM) is studied. When the movable platform of this PM is restricted to rotate about the vertical axis of the base, it is equivalent to a single loop mechanism (SLM). By analyzing the constraint properties of the SLM, the motion characteristics of this 3-RPS rotational PM under this motion are ...