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This is the second lecture of `RAGtime' series on electrodynamical effects near black holes. We will summarize the basic equations of relativistic electrodynamics in terms of spin-coefficient (Newman-Penrose) formalism. The aim of the…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Vladimir Karas

In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field…

Mathematical Physics · Physics 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

We revisit the relationship of inequality between the gravitational field energy and the Komar charge, both quantities evaluated at the event horizon, for static and spherically symmetric regular black hole solutions obtained with nonlinear…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Leonardo Balart , Francisco Peña

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Alves , V. B. Bezerra

We investigate the radii of the photon sphere and the black hole shadow in the framework of $F(R)$ gravity. For this purpose, we derive the field equation for the corresponding theory when the general spherically symmetric and static…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Shin'ichi Nojiri , S. D. Odintsov

Equilibrium configurations of electrically charged perfect fluid surrounding a central rotating black hole endowed with a test electric charge and embedded in a large-scale asymptotically uniform magnetic field are presented. Following our…

High Energy Astrophysical Phenomena · Physics 2018-06-20 A. Trova , K. Schroven , E. Hackmann , V. Karas , J. Kovar , P. Slany

Fluid analog models for gravity are based on the idea that any spacetime geometry admits a reinterpretation in which space is thought of as a fluid flowing with a prescribed velocity. This fluid picture is a restatement of the ADM…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Pablo Garza , Daniel Kabat , Ariana van Gelder

Astrophysical black holes do not exist in vacuum, and their motion is affected by the galactic environment. As a black hole moves it attracts stars and matter, creating a wake that, in turn, exerts an effective friction slowing down the…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Conor Dyson , Jaime Redondo-Yuste , Maarten van de Meent , Vitor Cardoso

The hydrodynamics of low-angular-momentum, multi-transonic, axisymmetric, inviscid accretion flow onto a rotating black hole has been systematically investigated using three distinct disc geometries and two thermodynamic equations of state,…

High Energy Astrophysical Phenomena · Physics 2025-09-24 Ripon Sk , Sangita Chatterjee , Sankhasubhra Nag

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcelo Alves

This work makes the first ever attempt to understand the influence of the black hole background space-time in determining the fundamental properties of the embedded relativistic acoustic geometry. To accomplish such task, the role of the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Hung-Yi Pu , Ishita Maiti , Tapas Kumar Das , Hsiang-Kuang Chang

We consider an irrotational plasma fluid evolving under the effect of a background magnetic field. The magnetohydrodynamic formalism is used to describe the electromagnetic waves and the dynamics is described by a scalar field that follows…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Felipe A. Asenjo , Nelson Zamorano

Gravitational waves from merging binary black holes present exciting opportunities for understanding fundamental aspects of gravity, including nonlinearities in the strong-field regime. One challenge in studying and interpreting the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Siddharth Boyeneni , Jiaxi Wu , Elias R. Most

We revisit the cutoff surface formulation of fluid-gravity duality in the context of the classical double copy. The spacetimes in this fluid-gravity duality are algebraically special, with Petrov type II when the spacetime is four…

High Energy Physics - Theory · Physics 2020-06-01 Cynthia Keeler , Tucker Manton , Nikhil Monga

We discuss the effects of electric charging on the equilibrium configurations of magnetized, rotating fluid tori around black holes of different mass. In the context of gaseous/dusty tori in galactic nuclei, the central black hole dominates…

High Energy Astrophysical Phenomena · Physics 2022-11-28 Vladimir Karas , Ondrej Kopacek , Audrey Trova , Jiri Kovar , Petr Slany , Zdenek Stuchlik

We study generalised Navier--Stokes equations governing the motion of an electro-rheological fluid subject to stochastic perturbation. Stochastic effects are implemented through (i) random initial data, (ii) a forcing term in the momentum…

Analysis of PDEs · Mathematics 2019-02-19 Dominic Breit , Franz Gmeineder

In the present note we review some recent results for a class of singular perturbation problems for a Navier-Stokes-Korteweg system with Coriolis force. More precisely, we study the asymptotic behaviour of solutions when taking…

Analysis of PDEs · Mathematics 2016-05-31 Francesco Fanelli

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Pedro G. S. Fernandes

We study the cosmological evolution of two coupled scalar fields with an arbitrary interaction term V_T(\phi,\vp) in the presence of a barotropic fluid, which can be matter or radiation. The force between the barotropic fluid and the scalar…

Astrophysics · Physics 2008-11-26 A. de la Macorra

This paper investigates the evolution of collapsing FRW models with a scalar field having the potential which arises in the conformal frame of high order gravity theories, coupled to matter described by a perfect fluid with energy density…

General Relativity and Quantum Cosmology · Physics 2010-03-24 Roberto Giambò
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