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We show that the general relativistic theory of the dynamics of isotropic stellar clusters can be developed essentially along the same lines as the Newtonian theory. We prove that the distribution function can be derived from any isotropic…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sven De Rijcke , Robbert Verbeke , Thomas Boelens

An analytic galaxy model with $\rho \sim r^{-1}$ at small radii and $\rho \sim r^{-3.5}$ at large radii is presented. The asymptotic density fall-off is slower than the Hernquist model, but faster than the Navarro-Frenk-White (NFW) profile…

Astrophysics of Galaxies · Physics 2018-02-21 E. Lilley , N. W. Evans , J. L. Sanders

Pauli-projected random gaussians are used as a representation to solve the shell model equations. The elements of the representation are chosen by a variational procedure. This scheme is particularly suited to describe cluster formation and…

Nuclear Theory · Physics 2009-09-25 K. Varga , R. J. Liotta

Various analytic expressions have been proposed for the density profile of dark matter halos. We consider six of these expressions for which the density profile has a power-law fall-off rho proportional to r^{-3} at large radii and a…

Astrophysics · Physics 2007-05-23 Lawrence M. Widrow

Gaskell et al. (2007) introduced polarization reverberation mapping as a new technique to explore the structure of active galactic nuclei. We present modeling results for the time-dependent polarization signal expected from scattering…

Astrophysics · Physics 2008-11-06 R. W. Goosmann , C. M. Gaskell , M. Shoji

Possible modification in the velocity distribution in the non-resonant reaction rates leads to an extended reaction rate probability integral. The closed form representation for these thermonuclear functions are used to obtain the stellar…

Solar and Stellar Astrophysics · Physics 2014-09-09 H. J. Haubold , D. Kumar

We describe an algorithm to decompose deep images of Active Galactic Nuclei into host galaxy and nuclear components. Currently supported are three galaxy models: A de-Vaucouleurs spheroidal, an exponential disc, and a two-component…

Astrophysics · Physics 2009-11-10 B. Kuhlbrodt , L. Wisotzki , K. Jahnke

The pulsation equations for spherically symmetric black hole and soliton solutions are brought into a standard form. The formulae apply to a large class of field theoretical matter models and can easily be worked out for specific examples.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 O. Brodbeck , M. Heusler , N. Straumann

We present a new model for galactic bars with exponentially falling major axis luminosity profiles and Gaussian cross-sections. This is based on the linear superposition of Gaussian potential-density pairs with an exponential weight…

Astrophysics of Galaxies · Physics 2020-02-26 D. P. McGough , N. W. Evans , J. L. Sanders

In this paper, we study a family of two-component anisotropic polytropes which model a wide range of spherically symmetric astrophysical systems such as early-type baryonic galaxies. This family is found to contain a large class of models…

General Relativity and Quantum Cosmology · Physics 2013-12-09 Phuc H. Nguyen , Manasvi Lingam

On the basis of morphological thermodynamics we develop an exactly solvable version of statistical mutifragmentation model for the nuclear liquid-gas phase transition. It is shown that the hard-core repulsion between spherical nuclei…

Nuclear Theory · Physics 2023-02-03 V. S. Kucherenko , K. A. Bugaev , V. Sagun , O. Ivanytskyi

We introduce a parametric family of models to characterize the properties of astrophysical systems in a quasi-stationary evolution under the incidence evaporation. We start from an one-particle distribution…

Astrophysics of Galaxies · Physics 2016-07-14 Y. J. Gomez-Leyton , L. Velazquez

While hard-sphere models form the foundation of theoretical condensed matter physics, real systems often exhibit some degree of softness. We present a theoretical and numerical study of a class of nearly hard-sphere systems, generalized…

Soft Condensed Matter · Physics 2025-07-22 Ulf R. Pedersen

Polytropic models play a very important role in galactic dynamics and in the theory of stellar structure and evolution. However, in general, the solution of the Lane-Emden equation can not be given analytically but only numerically. In the…

Astrophysics · Physics 2015-06-24 F. K. Liu

In this paper we obtained some spherically stellar configurations that represent new models of dark energy stars specifying particular forms for gravitational potential and the electric field intensity which allows solve the…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Manuel Malaver , Rajan Iyer

The Kuzmin-Toomre family of discs is used to construct potential-density pairs that represent flat ring structures in terms of elementary functions. Systems composed of two concentric flat rings, a central disc surrounded by one ring and a…

Astrophysics of Galaxies · Physics 2014-11-20 D. Vogt , P. S. Letelier

Tremendous progress has been made recently in modelling the morphology and kinematics of centers of galaxies. Increasingly realistic models are built for central bar, bulge, nucleus and black hole of galaxies, including our own. The newly…

Astrophysics · Physics 2009-10-31 HongSheng Zhao

We present a new model of homogeneous aggregation that contains the essential physical ideas of the classical predecessors, the Becker-Doring and Lifshitz-Slyovoz models. These classical models, which give different predictions, are…

Materials Science · Physics 2007-05-23 Yossi Farjoun , John C. Neu

Macroscopic theories of nucleation such as classical nucleation theory envision that clusters of the bulk stable phase form inside the bulk metastable phase. Molecular dynamics simulations are often used to elucidate nucleation mechanisms,…

Materials Science · Physics 2017-09-06 Bingqing Cheng , Michele Ceriotti

Analytical $f(R)$-gravity models introduce Yukawa-like corrections to the Newtonian potential in the weak field limit. These models can explain the dynamics of galaxies and cluster of galaxies without requiring dark matter. To test the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 I. De Martino , M. De Laurentis , F. Atrio-Barandela , S. Capozziello