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The gravitational instability of expanding shells is discussed. Linear and nonlinear terms are included in an analytical solution in the static and homogeneous medium. We discuss the interaction of modes and give the time needed for…

Astrophysics · Physics 2007-05-23 J. Palous , R. Wunsch , S. Ehlerova

The spherically symmetric singular perfect fluid shells are considered for the case of their radii being equal to the event horizon (the black shells). We study their observable masses, depending at least on the three parameters, viz., the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Konstantin G. Zloshchastiev

In this paper we investigate the polarization property of the radiation amplified by astronomical masers in the presence of a strong magnetic field. Our model explicitly takes into account the broadband nature of the radiation field and the…

Astrophysics of Galaxies · Physics 2015-05-13 Dinh-V-Trung

An astrophysical MASER (Microwave Amplification by Stimulated Emission of Radiation) is a source of stimulated spectral line emission. Maser emission is observed from the circumstellar envelopes of evolved stars, molecular…

Instrumentation and Methods for Astrophysics · Physics 2011-04-13 Elizabeth Humphreys

Shells are fine stellar structures identified by their arc-like shapes present around a galaxy and currently thought to be vestiges of galaxy interactions and/or mergers. The study of their number, geometry, stellar populations and gas…

Astrophysics of Galaxies · Physics 2019-10-02 Brisa Mancillas , Francoise Combes , Pierre-Alain Duc

The known ground state of ultrathin smectic films confined to the surface of a sphere is described by four +1/2 defects assembled on a great circle and a director which follows geodesic lines. Using a simple perturbative approach we show…

Soft Condensed Matter · Physics 2016-01-12 O. V. Manyuhina , M. J. Bowick

We discuss infinitesimal isometries of the middle surfaces and present some characteristic conditions for a function to be the normal component of an infinitesimal isometry. Our results show that those characteristic conditions depend on…

Analysis of PDEs · Mathematics 2013-10-22 Peng-Fei Yao

We studied class I methanol masers in the transition 7_0-6_1 A+ at the frequency 44 GHz with the VLA. The observations on the VLA were made with the angular resolution 0''.1, which was the highest at the moment. It was shown that the masers…

Astrophysics · Physics 2007-05-23 V. I. Slysh , I. E. Val'tts , S. V. Kalenskii

Active-elastic instabilities are common phenomena in the natural world which have the aspect of sudden mechanical morphings. Frequently, the driving force of the instability mechanisms has a chemo-mechanical nature which makes these kind of…

Soft Condensed Matter · Physics 2020-11-13 Michele Curatolo , Gaetano Napoli , Paola Nardinocchi , Stefano Turzi

We consider the Casimir energy of a thick dielectric-diamagnetic shell under a uniform velocity light condition, as a function of the radii and the permeabilities. We show that there is a range of parameters in which the stress on the outer…

High Energy Physics - Theory · Physics 2009-11-07 I. Klich , A. Mann , M. Revzen

A family of potential-density pairs that represent spherical shells with finite thickness is obtained from the superposition of spheres with finite radii. Other families of shells with infinite thickness with a central hole are obtained by…

General Relativity and Quantum Cosmology · Physics 2010-11-01 D. Vogt , P. S. Letelier

We investigate spherically symmetric spacetimes with an anisotropic fluid and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We find that the dividing shell is defined by a relation…

General Relativity and Quantum Cosmology · Physics 2013-02-26 José P. Mimoso , Morgan Le Delliou , Filipe C. Mena

Characteristic modes of a spherical shell are found analytically as spherical harmonics normalized to radiate unitary power and to fulfill specific boundary conditions. The presented closed-form formulas lead to a proposal of precise…

Computational Physics · Physics 2019-02-19 Miloslav Capek , Vit Losenicky , Lukas Jelinek , Mats Gustafsson

In this work, shells are mathematically constructed by applying the cut and paste procedure to D-dimensional spherically symmetric geometries. The weak energy condition for the matter on the shells is briefly analyzed. The dynamical…

General Relativity and Quantum Cosmology · Physics 2012-04-10 Ernesto F. Eiroa , Claudio Simeone

We study smooth, spherically-symmetric solutions to the Vlasov-Poisson system and relativistic Vlasov-Poisson system in the plasma physical case. In particular, we construct solutions that initially possess arbitrarily small charge…

Analysis of PDEs · Mathematics 2023-12-05 Kaiwen Tan

Various substances in the liquid state tend to form droplets. In this paper the shape of such droplets is investigated within the spherical model of a lattice gas. We show that in this case the droplet boundary is always diffusive, as…

Statistical Mechanics · Physics 2015-05-20 Anatoly E. Patrick

We solve the problem of a dimer moving on a spherical surface and find that its binding energy and wave function are sensitive to the total angular momentum. The dimer gets squeezed in the direction orthogonal to the center-of-mass motion…

Quantum Gases · Physics 2025-05-20 A. Tononi , D. S. Petrov , M. Lewenstein

We compute the shear modulus of amorphous hard and soft spheres, using the exact solution in infinite spatial dimensions that has been developed recently. We characterize the behavior of this observable in the whole phase diagram, and in…

Disordered Systems and Neural Networks · Physics 2014-09-04 Hajime Yoshino , Francesco Zamponi

Static cylindrical shells composed of massive particles arising from matching of two different Levi-Civita space-times are studied for the shell satisfying either isotropic or anisotropic equation of state. We find that these solutions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Metin Arik , Ozgur Delice

We analyze the data of the observations of the radio sources frequently found in space. They are believed to be the sets of molecular condensations each of which works as a maser, so that the whole set produces a characteristic spectrum. It…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 S. Siparov , V. Samodurov , G. Laptev
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