The present work is concerned with the formulation of a continuum theory of viral DNA packaging based on a director (eld representation of the encapsidated DNA. The point values of the director (eld give the local direction and density of the DNA. The continuity of the DNA strand requires that the director (eld be divergence-free and tangent to the capsid wall. The energy of the DNA is de(ned a...

This paper is concerned with a theoretical model of the head. Neuroanatomical and analytical considerations lead to a fluid-filled spherical shell as a first-generation model. The shell is considered thin, elastic, homogeneous, and isotropic. The shell equations includeboth membrane and bending effects in axisymmetric torsionless motion. The motion of the fluid is governed by the wave equation....

We explore the ultra-relativistic limit of a class four dimensional gravity theories, known as Lovelock-Cartan gravities, in first order formalism. First, we review well Einstein-Hilbert action. A very useful scale symmetry involving vierbeins and boost connection is presented. Moreover, field equations to find formal solutions. Some remarkable results are obtained: Riemann Weitzenb\"ock like m...

We will introduce the notion of Gorenstein category as the convenient setup for doing Gorenstein Homological Algebra in categories of sheaves, or in general in categories without enough projective objects. We will illustrate this notion by showing that the category of Qcoh(X) of quasi-coherent sheaves on a locally Gorenstein projective scheme fits into this setup. Then we will focus on the cate...

Abstract We study a metric-affine gravitational theory given by the Einstein–Hilbert (EH) action plus parity violating contribution (which we will refer to as Hojman term, also known Holst term) in vacuum. find out that for certain value of Barbero–Immirzi (BI) parameter total possesses remarkable invariance under particular transformations affine connection. prove all cases, with appropriate g...

In this article, we consider a special case of Metric-Affine f(R)-gravity for f(R) = R, i.e. the General Relativity (MAGR). As companion to first article in series, perform (3+1) decomposition hypermomentum equation, obtained from minimization MAGR action S [g, {\omega}] with respect connection {\omega}. Moreover, show that tensor H could be constructed completely 10 hypersurfaces variables ari...

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Distributional sources of cosmic walls crossed by cosmic strings from Riemann-Cartan (RC) Geometry. The matter density of the planar wall is maximum at the point where the cosmic string crosses the cosmic wall. Cartan torsion is has a support on the cosmic string given by the Dirac δ-function. Off the sources are left with a torsionless vacuum. PACS number(s) : 0420,0450,1127 Departamento de F́ı...

Metropolis Monte Carlo simulation is used to investigate the elasticity of torsionally stressed double-stranded DNA, in which twist and supercoiling are incorporated as a natural result of base-stacking interaction and backbone bending constrained by hydrogen bonds formed between DNA complementary nucleotide bases. Three evident regimes are found in extension versus torsion and force versus ext...