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We examine charged static perfect fluid distributions with a dilaton field in the frame-work of general relativity. We consider the case that the Einstein equations reduce to a non-linear version of Poisson equation. We show that Maxwell…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yoshinori Cho , Yoshitaka Degura , Kiyoshi Shiraishi

Cosmological N--body simulations have revealed a remarkable similarity in the structure of dark matter halos formed in hierarchically clustering universes. Regardless of halo mass, cosmological parameters, and power spectrum of initial…

Astrophysics · Physics 2007-05-23 Julio F. Navarro

A Vaidya spacetime is considered for gravitational collapse of a type II fluid in the context of Rastall theory of gravity. For a linear equation of state (EoS) for the fluid profiles, the conditions under which the dynamical evolution of…

General Relativity and Quantum Cosmology · Physics 2020-09-11 Amir H. Ziaie , Yaser Tavakoli

The galactic black hole is a supermassive black hole located at the center of a galaxy surrounded by a dark matter halo. For the first time, we establish a generic, fully-relativistic formalism to calculate solutions of Einstein's gravity…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Chao Zhang , Guoyang Fu , Chunyu Zhang

Via a straightforward integration of the Einstein equations with cosmological constant, all static circularly symmetric perfect fluid 2+1 solutions are derived. The structural functions of the metric depend on the energy density, which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alberto A. Garcia , Cuauhtemoc Campuzano

In quantum mechanics without application of any superselection rule to the set of the observables, a closed quantum system temporally evolves unitarily, and this Lorentzian regime is characterized by von Neumann entropy of exactly zero. In…

Quantum Physics · Physics 2023-04-03 Eiji Konishi

We study nonlinear wave phenomena in self-gravitating fluid systems, with a particular emphasis on applications to molecular clouds. This paper presents analytical results for one spatial dimension. We show that a large class of physical…

Astrophysics · Physics 2009-10-22 Fred C. Adams , Marco Fatuzzo , Richard Watkins

We review the canonical theory for perfect fluids, in Eulerian and Lagrangian formulations. The theory is related to a description of extended structures in higher dimensions. Internal symmetry and supersymmetry degrees of freedom are…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Jackiw , V. P. Nair , S. -Y. Pi , A. P. Polychronakos

Cartan's spacetime reformulation of the Newtonian theory of gravity is a generally-covariant Galilean-relativistic limit-form of Einstein's theory of gravity known as the Newton-Cartan theory. According to this theory, space is flat, time…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Joy Christian

For stationary, barotropic fluids in Newtonian gravity we give simple criteria on the equation of state and the "law of motion" which guarantee finite or infinite extent of the fluid region (providing a priori estimates for the…

General Relativity and Quantum Cosmology · Physics 2012-05-01 Patryk Mach , Walter Simon

We explore a theory of large-scale gravitational quantization, using the general relativistic Hamilton-Jacobi equation to create quantization conditions via a new scalar wave equation dependent upon the total mass and the total vector…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Howard G. Preston , Franklin Potter

Equations for a perfect fluid can be obtained by means of the variational principle both in the Lagrangian description and in the Eulerian one. It is known that we need additional fields somehow to describe a rotational isentropic flow in…

Fluid Dynamics · Physics 2010-10-27 Hiroki Fukagawa , Youhei Fujitani

We consider static cosmological solutions along with their stability properties in the framework of a recently proposed theory of massive gravity. We show that the modifcation introduced in the cosmological equations leads to several new…

General Relativity and Quantum Cosmology · Physics 2012-07-27 Luca Parisi , Ninfa Radicella , Gaetano Vilasi

A unified parametrization of the circular velocity, which accurately fits 850 galaxy rotation curves without needing in advance the knowledge of the luminous matter components, nor a fixed dark matter halo model, is proposed. A notable…

Astrophysics of Galaxies · Physics 2018-03-14 E. Lopez Fune

In gravitostatics, the minimally generalized Newtonian theory, the simplest cosmological model implies a cosmological redshift with acceleration parameter -1. If the gravitational potential satisfies a wave equation, the total mass density…

Astrophysics · Physics 2007-05-23 Peter Rastall

The properties of some locally rotationally symmetric (LRS) perfect fluid space-times are examined in order to demonstrate the usage of the description of geometries in terms of the Riemann tensor and a finite number of its covariant…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mattias Marklund

The model of galactic halo as a system of the collisionless small neutral particles from the standpoint of kinetic theory is considered. For the equilibrium system with the use of Maxwell-Boltzmann distribution we obtained results which…

General Relativity and Quantum Cosmology · Physics 2011-11-03 Valentin D. Gladush

Vacuum polarization of a massive scalar field in the background of a two-dimensional version of a spinning cosmic string is investigated. It is shown that when the `radius of the universe' is such that spacetime is globally hyperbolic the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 V. A. De Lorenci , E. S. Moreira,

We analyze the recently obtained static and spherically symmetric solution of the Spinor Theory of Gravity (STG) which, in the weak field limit, presents an effective Newtonian potential that contains an extra logarithmic behavior. We apply…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Mario Novello , Angelo E. S. Hartmann , E. Bittencourt

We present a relativistic model describing a thin disk surrounded by a halo in presence of an electromagnetic field. The model is obtained by solving the Einstein-Maxwell equations on a particular conformastatic spacetime background and by…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonio C. Gutiérrez-Piñeres , Guillermo A. González , Hernando Quevedo
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