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An infinite family of new exact solutions of the Einstein vacuum equations for static and axially symmetric spacetimes is presented. All the metric functions of the solutions are explicitly computed and the obtained expressions are simply…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Guillermo A. González , Antonio C. Gutiérrez-Piñeres , Viviana M. Viña-Cervantes

We investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize thick disks around a rotating deformed compact object described by a stationary generalization of the static q-metric. The…

General Relativity and Quantum Cosmology · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova , Hernando Quevedo

This paper is concerned with the kinetic treatment of quasi-stationary axisymmetric collisionless accretion disc plasmas. The conditions of validity of the kinetic description for non-relativistic magnetized and gravitationally-bound…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Claudio Cremaschini , Massimo Tessarotto

We present a method for constructing equilibrium disks with net angular momentum in general relativity. The method solves the relativistic Vlasov equation coupled to Einstein's equations for the gravitational field. We apply the method to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Katrin Schenk , Stuart L. Shapiro , Saul A. Teukolsky

A rotating metric solution in Einstein-Gauss-Bonnet gravity with a negative cosmological constant was recently found in the Chern-Simons point. We construct a rotating thin shell gluing two spacetimes in Einstein-Gauss-Bonnet gravity, using…

General Relativity and Quantum Cosmology · Physics 2026-04-15 João D. Álvares , Tiago V. Fernandes

Radiatively-driven transfer flow perpendicular to a luminous disk is examined in the relativistic regime of $(v/c)^2$, taking into account the gravity of the central object. The flow is assumed to be vertical, and the gas pressure as well…

Astrophysics · Physics 2015-05-13 Jun Fukue , Chizuru Akizuki

We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations which can be interpreted as disks of charged dust. The disks of finite or infinite extension are infinitesimally thin and constitute a surface layer at…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Klein

The general formulas of a non-rotating dynamic thin shell that connects two arbitrary cylindrical regions are given using Israel's method. As an application of them, the dynamics of a thin shell made of counter-rotating dust particles,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. R. C. T. Pereira , Anzhong Wang

We analyze the general relativistic oscillations of thin accretion disks around compact astrophysical objects interacting with the surrounding medium through non-gravitational forces. The interaction with the external medium (a thermal…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Tiberiu Harko , Gabriela Mocanu

Transport coefficients of causal dissipative relativistic fluid dynamics (CDR) are studied in quenched lattice simulations. CDR describes the behavior of relativistic non-Newtonian fluids in which the relaxation time appears as a new…

High Energy Physics - Lattice · Physics 2010-12-13 Yu Maezawa , Hiroaki Abuki , Tetsuo Hatsuda , Tomoi Koide

Thin disk accretion is often modeled in highly dynamical settings using the two-dimensional equations of viscous hydrodynamics, with viscosity representing unresolved turbulence. These equations are supposed to arise after vertical…

High Energy Astrophysical Phenomena · Physics 2023-04-24 John Ryan Westernacher-Schneider

The exact global solution of the Einstein equations [Neugebauer & Meinel, Phys. Rev. Lett. 75 (1995) 3046] describing a rigidly rotating, self-gravitating disk is discussed. The underlying matter model is a perfect fluid in the limit of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Reinhard Meinel

The exact superposition of a central static black hole with surrounding thin disk in presence of a magnetic field is investigated. We consider two models of disk, one of infinite extension based on a Kuzmin-Chazy-Curzon metric and other…

General Relativity and Quantum Cosmology · Physics 2013-12-09 Antonio C. Gutiérrez-Piñeres , Gonzalo García-Reyes , Guillermo A. González

We show that fluid stationary models are able to reproduce the observed, negative vertical gradient of the rotation velocity of the extra-planar gas in spiral galaxies. We have constructed models based on the simple condition that the…

Astrophysics · Physics 2011-04-20 M. Barnabè , L. Ciotti , F. Fraternali , R. Sancisi

We derive Friedman-Lemaitre-Robertson-Walker (FLRW) models as non-trivial solutions of "Cotton Gravity" (CG), a recently proposed gravity theory alternative to General Relativity (GR) based on the Cotton tensor. Using an equivalent…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Roberto A Sussman , Sebastian Najera

Galaxy velocity maps often show the typical pattern of a rotating disk, consistent with the dynamical model where emitters rotate in circular orbits around the galactic center. The simplest template used to fit these maps consists in the…

Astrophysics of Galaxies · Physics 2019-01-31 Francesco Sylos Labini , David Benhaiem , Sebastien Comeron , Martin Lopez-Corredoira

In circumstellar disks, the size of dust particles varies from submicron to several centimeters, while planetesimals have sizes of hundreds of kilometers. Therefore, various regimes for the aerodynamic drag between solid bodies and gas can…

Earth and Planetary Astrophysics · Physics 2021-02-19 Olga P. Stoyanovskaya , Fedor A. Okladnikov , Eduard I. Vorobyov , Yaroslav N. Pavlyuchenkov , Vitaliy V. Akimkin

In this series of works, we develop a discrete-velocity-direction model (DVDM) with collisions of BGK-type for simulating rarefied flows. Unlike the conventional kinetic models (both BGK and discrete-velocity models), the new model…

Computational Physics · Physics 2022-06-02 Huang Qian , Chen Yihong , Yong Wen-An

We consider accretion disks consisting of counter-rotating gaseous components with an intervening shear layer. Configurations of this type may arise from the accretion of newly supplied counter-rotating gas onto an existing co-rotating gas…

Astrophysics · Physics 2009-10-28 R. V. E. Lovelace , Tom Chou

We consider stationary rotating cylindrically symmetric dust spacetimes. We first show that the Maitra spacetime is the unique non-rigidly (non null shear scalar) rotating solution with a regular axis and that is the most general one of the…

General Relativity and Quantum Cosmology · Physics 2024-12-25 R. Chan , N. O. Santos