Open AccessSpherical accretion of a perfect fluid onto a black hole
Author(s) -
Francisco S Guzmán Murillo,
Iván Alvarez Ríos,
Alejandro Romero Amezcua,
José Antonio García-Cruces González
Publication year - 2021
Publication title -
revista mexicana de física e
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.178
H-Index - 10
eISSN - 2683-2216
pISSN - 1870-3542
DOI - 10.31349/revmexfise.18.020206
Subject(s) - event horizon , black hole (networking) , physics , accretion (finance) , general relativity , numerical relativity , horizon , schwarzschild radius , white hole , perfect fluid , spacetime , classical mechanics , theoretical physics , astrophysics , astronomy , computer science , quantum mechanics , computer network , routing protocol , routing (electronic design automation) , link state routing protocol
In this academic paper we present in detail the numerical solution of the accretion of a perfect fluid onto a black hole. The conditions are very simple, we consider a radial flux being accreted by a Schwarzschild black hole. We present two scenarios: 1) the test field case in which the fluid does not affect the geometry of the black hole space-time background, and 2) the full non-linear scenario, in which the geometry of the space-time evolves simultaneously with the fluid according to Einstein's equations.In the two scenarios we describe the black hole space-time in horizon penetrating coordinates, so that it is possible to visualize that accretion actually takes place within the numerical domain.For the evolution of matter we use the Valencia formulation of relativistic fluid dynamics. In the non-linear scenario we solve the equations of geometry using the ADM formulation of General Relativity, with very simple and intuitive gauge and boundary conditions, and include diagnostics related to the Apparent Horizon and Event Horizon growth.In view of the recent spectacular discoveries by the Event Horizon Telescope collaboration and further discoveries to come, the aim of this paper is to provide the necessary tools for interested graduate students in Black Hole Astrophysics, to enter into the accretion modeling starting from a considerable advanced starting point.