Search results for "classical"

Diffeomorphisms, Noether charges, and the canonical formalism in two-dimensional dilaton gravity

1995

We carry out a parallel study of the covariant phase space and the conservation laws of local symmetries in two-dimensional dilaton gravity. Our analysis is based on the fact that the Lagrangian can be brought to a form that vanishes on-shell giving rise to a well-defined covariant potential for the symplectic current. We explicitly compute the symplectic structure and its potential and show that the requirement to be finite and independent of the Cauchy surface restricts the asymptotic symmetries.

Gravitational wave content and stability of uniformly, rotating, triaxial neutron stars in general relativity

2017

Targets for ground-based gravitational wave interferometers include continuous, quasiperiodic sources of gravitational radiation, such as isolated, spinning neutron stars. In this work we perform evolution simulations of uniformly rotating, triaxially deformed stars, the compressible analogues in general relativity of incompressible, Newtonian Jacobi ellipsoids. We investigate their stability and gravitational wave emission. We employ five models, both normal and supramassive, and track their evolution with different grid setups and resolutions, as well as with two different evolution codes. We find that all models are dynamically stable and produce a strain that is approximately one-tenth …

Constraint preserving boundary conditions for the Z4c formulation of general relativity

2010

We discuss high order absorbing constraint preserving boundary conditions for the Z4c formulation of general relativity coupled to the moving puncture family of gauges. We are primarily concerned with the constraint preservation and absorption properties of these conditions. In the frozen coefficient approximation, with an appropriate first order pseudo-differential reduction, we show that the constraint subsystem is boundary stable on a four dimensional compact manifold. We analyze the remainder of the initial boundary value problem for a spherical reduction of the Z4c formulation with a particular choice of the puncture gauge. Numerical evidence for the efficacy of the conditions is prese…

Regularization of spherical and axisymmetric evolution codes in numerical relativity

2007

Several interesting astrophysical phenomena are symmetric with respect to the rotation axis, like the head-on collision of compact bodies, the collapse and/or accretion of fields with a large variety of geometries, or some forms of gravitational waves. Most current numerical relativity codes, however, can not take advantage of these symmetries due to the fact that singularities in the adapted coordinates, either at the origin or at the axis of symmetry, rapidly cause the simulation to crash. Because of this regularity problem it has become common practice to use full-blown Cartesian three-dimensional codes to simulate axi-symmetric systems. In this work we follow a recent idea idea of Rinne…

Pregiudizio classico e moderno nei confronti dei richiedenti asilo: un contributo alla validazione italiana della Prejudice Against Asylum Seekers Sc…

2021

In this study, we tested the validity of the Italian version of the Prejudice Against Asylum Seekers Scale (PAAS), which measures classic and modern prejudice toward asylum seekers. A sample of 740 participants (227 males and 513 females, aged 18-67) completed the scale. The results were consistent with the original 2-factor model providing an acceptable fit for the data. This study, however, suggests taking out two items from the scale. The two correlated factors showed significant associations with right-wing authoritarianism, social dominance orientation, and national identification. No gender differences emerged, but only those related to religious affiliation, age, and political orient…

A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary

2016

We study the Dirichlet problem in a domain with a small hole close to the boundary. To do so, for each pair $\boldsymbol\varepsilon = (\varepsilon_1, \varepsilon_2 )$ of positive parameters, we consider a perforated domain $\Omega_{\boldsymbol\varepsilon}$ obtained by making a small hole of size $\varepsilon_1 \varepsilon_2 $ in an open regular subset $\Omega$ of $\mathbb{R}^n$ at distance $\varepsilon_1$ from the boundary $\partial\Omega$. As $\varepsilon_1 \to 0$, the perforation shrinks to a point and, at the same time, approaches the boundary. When $\boldsymbol\varepsilon \to (0,0)$, the size of the hole shrinks at a faster rate than its approach to the boundary. We denote by $u_{\bolds…

Ultra-sensitive chiral sensing and analysis from the nanoscale to the earth’s atmosphere

2020

Chirality plays an essential role in life and, therefore, in modem science. I’ll present novel technologies for ultra-sensitive, absolute, chiral sensing and analysis, in all phases, from the nanoscale to the earth’s atmosphere.

The barotropic model

2003

The stereographic coordinate system

2003

Approaches to relativistic positioning around Earth and error estimations

2016

In the context of relativistic positioning, the coordinates of a given user may be calculated by using suitable information broadcast by a 4-tuple of satellites. Our 4-tuples belong to the Galileo constellation. Recently, we estimated the positioning errors due to uncertainties in the satellite world lines (U-errors). A distribution of U-errors was obtained, at various times, in a set of points covering a large region surrounding Earth. Here, the positioning errors associated to the simplifying assumption that photons move in Minkowski space-time (S-errors) are estimated and compared with the U-errors. Both errors have been calculated for the same points and times to make comparisons possib…