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Related papers: Hot, Rotating Disks In General Relativity: Collisi…

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In the context of a special class of tensor-multi-scalar theories of gravity for which the target-space metric admits an isometry under which the theory is invariant, we present rotating vacuum solutions, namely with no matter fields. These…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

The rotating disk problem is analyzed on the premise that proper interpretation of experimental evidence leads to the conclusion that the postulates upon which relativity theory is based, particularly the invariance of the speed of light,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert D. Klauber

We have developed a highly accurate numerical code capable of solving the coupled Einstein-Klein-Gordon system, in order to construct rotating boson stars in general relativity. Free fields and self-interacting fields, with quartic and…

General Relativity and Quantum Cosmology · Physics 2014-08-29 Philippe Grandclement , Claire Somé , Eric Gourgoulhon

With the help of high-resolution long-slit and integral-field spectroscopy observations, the number of confirmed cases of galaxies with counterrotation is increasing rapidly. The evolution of such counterrotating galaxies remains far from…

Astrophysics of Galaxies · Physics 2017-01-11 Sergey Khoperskov , Giuseppe Bertin

We consider a collisionless ensemble of classical particles coupled to a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic Vlasov-Klein-Gordon system, we prove local-in-time existence…

Analysis of PDEs · Mathematics 2007-05-23 Michael Kunzinger , Gerhard Rein , Roland Steinbauer , Gerald Teschl

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

The dynamics of a self-gravitating ensemble of collisionless particles is modeled by the Nordstr\"om-Vlasov system in the framework of the Nordstr\"om scalar theory of gravitation. For this system in two space dimensions, integral…

Mathematical Physics · Physics 2007-05-23 Hayoung Lee

This paper proposes a Lagrangian approach to find the state equations of a disk rolling on a plane without friction. The approach takes advantage of a symbolic computation to simplify the reasoning.

Numerical Analysis · Mathematics 2023-11-29 Luc Jaulin

This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitational interactions. Two types of radial symmetry for the…

Mathematical Physics · Physics 2025-10-20 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , I. Yu. Baibara

The standard equilibrium for radiation-dominated accretion disks has long been known to be viscously, thermally, and convectively unstable, but the nonlinear development of these instabilities---hence the actual state of such disks---has…

Astrophysics · Physics 2009-11-06 Eric Agol , Julian Krolik , Neal Turner , James Stone

A new method of construction of integral varieties of Einstein equations in three dimensional (3D) and 4D gravity is presented whereby, under corresponding redefinition of physical values with respect to anholonomic frames of reference with…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Sergiu I. Vacaru

This paper is concerned with the existence, shape and dynamical stability of infinite-energy equilibria for a general class of spatially homogeneous kinetic equations in space dimensions $d \geq 3$. Our results cover in particular…

Mathematical Physics · Physics 2013-09-30 Federico Bassetti , Lucia Ladelli , Daniel Matthes

In this paper, starting from the common foundation of Connes' noncommutative geometry (NCG) [1,2,3,4], various possible alternatives in the formulation of a theory of gravity in noncommutative spacetime are discussed in detail. The…

High Energy Physics - Theory · Physics 2007-05-23 Nguyen Ai Viet

We construct general-relativistic kinetic models of stationary finite accretion disks in the Kerr spacetime. Our analysis generalizes a previous model of razor-thin accretion disks of collisionless gas in the Kerr spacetime, extending to…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Ghafran Khan , Patryk Mach

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta…

High Energy Physics - Theory · Physics 2015-03-17 Yves Brihaye , Burkhard Kleihaus , Jutta Kunz , Eugen Radu

The paper presents a solution to the Boltzmann kinetic equation based on the construction of its discrete conservative model. Discrete analogue of the collision integral is presented as a contraction of a tensor, which is independent from…

Statistical Mechanics · Physics 2017-07-04 George Arabuli

This talk provides a critical assessment of collisionless galactic dynamics, focusing on the interpretation and limitations of the collisionless Boltzmann equation and the physical mechanisms associated with collisionless relaxation.…

Astrophysics · Physics 2009-10-30 Henry E. Kandrup

A detailed study is presented of the counterrotating model (CRM) for generic electrovacuum static axially symmetric relativistic thin disks without radial pressure. We find a general constraint over the counterrotating tangential velocities…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonzalo García-Reyes , Guillermo A. González

This document contains refereed supplementary information for the paper ``Rapid planetesimal formation in turbulent circumstellar discs''. It contains 15 sections (\S1.1 -- \S1.15) that address a number of subjects related to the main…

We investigate a simple variation of the Generalized Harmonic method for evolving the Einstein equations. A flat space wave equation for metric perturbations is separated from the Ricci tensor, with the rest of the Ricci tensor becoming a…

General Relativity and Quantum Cosmology · Physics 2009-02-06 Travis Garrett
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