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The inner structure of a star or a primordial interstellar cloud is a major topic in classical and relativistic physics. The impact that General Relativistic principles have on this structure has been the subject of many research papers. In…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Mayer Humi , John Roumas

The study of the properties and dynamics of self-gravitating bosonic objects in Einstein gravity was conducted. We studied self-coupled boson stars and determined the quasinormal mode (QNM) frequencies of stable boson stars in spherical…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Jayashree Balakrishna

In this paper, we investigate the Noether symmetries of a generalized scalar-tensor, Brans-Dicke type cosmological model, in which we consider explicit scalar field dependent couplings to the Ricci scalar, and to the scalar field kinetic…

General Relativity and Quantum Cosmology · Physics 2016-02-03 J. A. Belinchón , T. Harko , M. K. Mak

Spherically symmetric relativistic stars with the polytropic equation of state, which possess the local pressure anisotropy, are considered in the context of general relativity. The modified Lane-Emden equations are derived for the special…

General Relativity and Quantum Cosmology · Physics 2018-01-25 A. A. Isayev

A fundamental assumption in the so-called "global polytropic model" is hydrostatic equilibrium for a system of planets or statellites. By solving the Lane-Emden differential equation for such a system in the complex plane, we find…

Earth and Planetary Astrophysics · Physics 2014-10-28 Vassilis S. Geroyannis

We investigate how to derive an isotropic stellar model in the framework of mimetic gravitational theory. Recently, this theory has gained big interest due to its difference from Einstein's general relativity (GR), especially in the domain…

General Relativity and Quantum Cosmology · Physics 2023-05-24 G. G. L. Nashed

The physical properties of the so-called Ostriker isothermal, non-rotating filament have been classically used as benchmark to interpret the stability of the filaments observed in nearby clouds. However, such static picture seems to…

Astrophysics of Galaxies · Physics 2015-06-22 S. Recchi , A. Hacar , A. Palestini

We present a comparative analysis of the self-gravitating solitons arising in the Einstein-Klein-Gordon, Einstein-Dirac and Einstein-Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Carlos A. R. Herdeiro , Eugen Radu

Rotation is ubiquitous in the Universe, and recent kinematic surveys have shown that early type galaxies and globular clusters are no exception. Yet the linear response of spheroidal rotating stellar systems has seldom been studied. This…

Astrophysics of Galaxies · Physics 2019-05-15 Simon Rozier , Jean-Baptiste Fouvry , Philip G. Breen , Anna Lisa Varri , Christophe Pichon , Douglas C. Heggie

We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations…

Mathematical Physics · Physics 2007-10-31 J. Mark Heinzle , Alan D. Rendall , Claes Uggla

This paper is devoted to study the stability/instability of the expansionfree self gravitating source in the framework of Einstein Gauss-Bonnet gravity. The source has been taken as Tolman-Bondi model which is homogenous in nature. The…

General Relativity and Quantum Cosmology · Physics 2015-04-22 G. Abbas , S. Sarwar

Precision tests of gravity can be used to constrain the properties of hypothetical very light scalar fields, but these tests depend crucially on how macroscopic astrophysical objects couple to the new scalar field. We develop quasi-analytic…

General Relativity and Quantum Cosmology · Physics 2011-08-31 M. W. Horbatsch , C. P. Burgess

We study anisotropic inflation in the Brans-Dicke gravity in the presence of an abelian gauge field where the gauge field is non-minimally coupled to the inflaton. We show that the degree of anisotropy, under slow-roll approximations, is…

General Relativity and Quantum Cosmology · Physics 2017-11-03 M. Tirandari , Kh. Saaidi

The spherically symmetric thin shells of the barotropic fluids with the linear equation of state are considered within the frameworks of general relativity. We study several aspects of the shells as completely relativistic models of stars,…

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

The general solution of Einstein's gravity equation in $D$ dimensions for an anisotropic and spherically symmetric matter distribution is calculated in a bulk with position dependent cosmological constant. Results for $n$ concentric…

General Relativity and Quantum Cosmology · Physics 2013-03-01 I. C. Jardim , R. R. Landim , G. Alencar , R. N. Costa Filho

This work is based on stability analysis of spherically symmetric collapsing star surrounding in locally anisotropic environment in $f(R,T)$ gravity, where $R$ is Ricci scalar and $T$ corresponds to the trace of energy momentum tensor.…

General Physics · Physics 2014-11-26 Ifra Noureen , M. Zubair

Working within the deep-MOND limit (DML), I describe spherical, self-gravitating systems governed by a polytropic equation of state, $P=\mathcal{K}\rho^\gamma$. As self-consistent structures, such systems can serve as heuristic models for…

Astrophysics of Galaxies · Physics 2021-03-03 Mordehai Milgrom

Filamentary structures, or long and narrow streams of material, arise in many areas of astronomy. Here we investigate the stability of such filaments by performing an eigenmode analysis of adiabatic and polytropic fluid cylinders, which are…

Solar and Stellar Astrophysics · Physics 2020-04-01 Eric R. Coughlin , C. J. Nixon

A model for polar filaments interacting via molecular motor complexes is investigated which exhibits bifurcations to spatial patterns. It is shown that the homogeneous distribution of filaments, such as actin or microtubules, may become…

Soft Condensed Matter · Physics 2007-05-23 Falko Ziebert , Walter Zimmermann

This paper explores the instability of gaseous masses for the radial oscillations in post-Newtonian correction of massive Brans-Dicke gravity. For this purpose, we derive linearized perturbed equation of motion through Lagrangian radial…

General Relativity and Quantum Cosmology · Physics 2018-01-10 M. Sharif , Rubab Manzoor