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Recent numerical cosmological radiation-magnetohydrodynamic-thermochemical-star formation simulations have resolved the formation of quasar accretion disks with Eddington or super-Eddington accretion rates onto supermassive black holes…

The advance of perihelion for geodesic motion on the galactic plane of some exact general relativistic disc solutions is calculated. Approximate analytical and numerical results are presented for the static Chazy-Curzon and the…

Astrophysics · Physics 2011-02-11 D. Vogt , P. S. Letelier

Gravitational coupling between young planets and their parent disks is often explored using numerical simulations, which typically treat the disk thermodynamics in a highly simplified manner. In particular, many studies adopt the locally…

Earth and Planetary Astrophysics · Physics 2020-04-08 Ryan Miranda , Roman R. Rafikov

Magnetar phenomena are likely intertwined with the location and structure of magnetospheric currents. General-relativistic effects are important in shaping the force-free equilibria describing static configurations, though most studies have…

High Energy Astrophysical Phenomena · Physics 2025-09-24 Petros Stefanou , Arthur G. Suvorov , José A. Pons

Studying the dynamical, nonlinear regime of modified theories of gravity remains a theoretical challenge that limits our ability to test general relativity. Here we consider two generally applicable, but approximate methods for treating…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Maxence Corman , Luis Lehner , William E. East , Guillaume Dideron

Cool weakly ionized gaseous rotating disk form the basis for many models in astrophysics objects. Instabilities against perturbations in such disks play an important role in the theory of the formation of stars and planets. Traditionally,…

Astrophysics · Physics 2008-09-19 Edward Liverts , Michael Mond , Vadim Urpin

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. B. Balakin

We examine a thick accretion disc in the presence of external gravity and intrinsic dipolar magnetic field due to a non-rotating central object. In this paper, we generalize the Newtonian theory of stationary axisymmetric resistive tori of…

High Energy Astrophysical Phenomena · Physics 2016-03-16 M. Shaghaghian

We evaluate general-relativistic effects in motion of stationary accretion disks around a Schwarzschild black hole, assuming the first post-Newtonian (1PN) approximation. There arises an integrability condition, that leads to the emergence…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Piotr Jaranowski , Patryk Mach , Edward Malec , Michal Pirog

In this work a study of the gravity is made using Einstein's equation in the post-Newtonian approach. This is a method to linearise the General Relativity indicated to treat non-relativistic objects. It enables us to construct, from…

General Relativity and Quantum Cosmology · Physics 2013-04-29 I. C. Jardim , R. R. Landim

Within the framework of Einstein-Maxwell theory geometric properties of charged rotating discs of dust, using a post-Newtonian expansion up to tenth order, are discussed. Investigating the disc's proper radius and the proper circumference…

General Relativity and Quantum Cosmology · Physics 2023-02-14 David Rumler , Andreas Kleinwächter , Reinhard Meinel

A new code for computing fully general relativistic solutions of strongly magnetized rapidly rotating compact stars is developed as a part of the COCAL (Compact Object CALculator) code. The full set of Einstein's equations, Maxwell's…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Koji Uryu , Shijun Yoshida , Eric Gourgoulhon , Charalampos Markakis , Kotaro Fujisawa , Antonios Tsokaros , Keisuke Taniguchi , Yoshiharu Eriguchi

We find a new class of exact solutions in the Einstein-Maxwell theory by employing the Ernst magnetization process to the Kerr-Newman-Taub-NUT spacetimes. We study the solutions and find that they are regular everywhere. We also find the…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Masoud Ghezelbash , Haryanto M. Siahaan

The dynamics of accretion discs around galactic and extragalactic black holes may be influenced by their magnetic field. In this paper we generalise the fully relativistic theory of stationary axisymmetric tori in Kerr metric of Abramowicz…

Astrophysics · Physics 2009-11-11 S. S. Komissarov

We present two-dimensional general relativistic radiative magnetohydrodynamical simulations of accretion disks around non-rotating stellar-mass black hole. We study the evolution of an equilibrium accreting torus in different grid…

High Energy Astrophysical Phenomena · Physics 2024-03-26 Angelos Karakonstantakis , Debora Lančová , Włodek Kluźniak , Miljenko Čemeljić

We discuss dynamical aspects of gravitational plane waves in Einstein theory with massless scalar fields. The general analytic solution describes colliding gravitational waves with constant polarization, which interact with scalar waves…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jorge G. Russo

We present new thermal equilibrium solutions for optically thin and thick disks incorporating magnetic fields. The purpose of this paper is to explain the bright hard state and the bright/slow transition observed in the rising phases of…

High Energy Astrophysical Phenomena · Physics 2010-01-15 H. Oda , M. Machida , K. E. Nakamura , R. Matsumoto

The system of Einstein-Maxwell equations for fields mentioned in the title is simplified. Known pure radiation solutions are systematized and new solutions are given by separating the variables.

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. V. Ivanov