Axial torsion waves in metric-affine gravity

We construct new explicit vacuum solutions of quadratic metric-affine gravity. The approach of metric-affine gravity in using an independent affine connection produces a theory with 10+64 unknowns, which implies admitting torsion and possible nonmetricity. Our spacetimes are generalisations of classical pp-waves, four-dimensional Lorentzian spacetimes which admit a nonvanishing parallel spinor field. We generalize this definition to metric compatible spacetimes with pp-metric and purely axial torsion. It has been suggested that one can interpret that the axial component of torsion as the Hodge dual of the electromagnetic vector potential. We compare these solutions with our previous results and other solutions of classical models describing the interaction of gravitational and neutrino fields.Comment: 6 pages. Proceedings of the MG14 Meeting on General Relativity, University of Rome "La Sapienza", Italy, 12 - 18 July 2015. Edited by: Massimo Bianchi (Universit\`a degli Studi di Roma "Tor Vergata", Italy), Robert T Jantzen (Villanova University, USA), Remo Ruffini (International Center for Relativistic Astrophysics Network (ICRANet), Italy and University of Rome "La Sapienza", Italy

Culture, Identity, and Security: An Overview

Assesses how issues of culture and identity affect international security, and argues that current trends may require radical new thinking about individuals, societies, and nature

Physical interpretation of pp-waves with axial torsion

We consider generalised pp-waves with purely axial torsion, which we previously showed to be new vacuum solutions of quadratic metric-affine gravity. Our analysis shows that classical pp-waves of parallel Ricci curvature should not be viewed on their own. They are a particular representation of a wider class of solutions, namely generalised pp-waves of parallel Ricci curvature. We compare our pp-waves with purely axial torsion to solutions of Einstein-Weyl theory, the classical model describing the interaction of gravitational and massless neutrino fields.Comment: 5 pages. Proceedings of the MG14 Meeting on General Relativity, University of Rome "La Sapienza", Italy, 12 - 18 July 2015. Edited by: Massimo Bianchi (Universit\`a degli Studi di Roma "Tor Vergata", Italy), Robert T Jantzen (Villanova University, USA), Remo Ruffini (International Center for Relativistic Astrophysics Network (ICRANet), Italy and University of Rome "La Sapienza", Italy

Construction of a global solution for the one dimensional singularly-perturbed boundary value problem

We consider an approximate solution for the one-dimensional semilinear singularly-perturbed boundary value problem, using the previously obtained numerical values of the boundary value problem in the mesh points and the representation of the exact solution using Green's function. We present an $\varepsilon$-uniform convergence of such gained the approximate solutions, in the maximum norm of the order $\mathcal{O}\left(N^{-1}\right)$ on the observed domain. After that, the constructed approximate solution is repaired and we obtain a solution, which also has $\varepsilon$--uniform convergence, but now of order $\mathcal{O}\left(\ln^2N/N^2\right)$ on $[0,1].$ In the end a numerical experiment is presented to confirm previously shown theoretical results.Comment: 14 pages, 3 figures, 1 tabl

Explaining microbial population genomics through phage predation

The remarkable diversity of genes within the pool of prokaryotic genomes belonging to the same species or pan-genome is difficult to reconcile with the widely accepted paradigm which asserts that periodic selection within bacterial populations would regularly purge genomic diversity by clonal replacement. Recent evidence from metagenomics indicates that even within a single sample a large diversity of genomes can be present for a single species. We have found that much of the differential gene content affects regions that are potential phage recognition targets. We therefore propose the operation of Constant-Diversity dynamics in which the diversity of prokaryotic populations is preserved by phage predation. We provide supporting evidence for this model from metagenomics, mathematical analysis and computer simulations. Periodic selection and phage predation dynamics are not mutually exclusive; we compare their predictions to indicate under which ecological circumstances each dynamics could predominate

Valve replacement in octogenarians: increased early mortality but good long-term result

Between January 1983 and December 1990, 20 patients aged 80 years or older underwent valvular surgery. The patients' ages varied from 80 to 87 years (mean, 82 ± 1.5 years). The indication for operation was aortic stenosis in 19 patients, and mitral insufficiency after previous mitral valve replacement with a bioprosthesis in one. There were 15 elective, two urgent, and three emergency operations. Four of these patients had aortic valve replacement plus coronary artery bypass grafting. Six patients (30%) had an uneventful hospital stay, and the other 14 (70%) experienced several post-operative complications. The operative mortality rate was 15± (three patients). All patients before operation were in NYHA (New York Heart Association) class III and IV and all survivors remained in NYHA class I or II. The survivors have been followed from 6 to 70 months (mean 20 ± 8 months). The actuarial survival rate at 1 and 5 years was 78.5% and 67%, respectively. Valvular replacement in octogenarians can be performed, despite the high rate of post-operative complications, with increased but acceptable mortality. Long-term results are goo