Shadow of the Schwarzschild black hole

In this work, the shadow of the Schwarzschild black hole is studied analytically. The shadow of an object is understood as the shape that said object has in space, seen by an observer when only the properties of space-time are considered. To nd the analytical solution we use the Hamilton-Jacobi equa...

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Detalles Bibliográficos
Autor: Villegas, Fulgencio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/23592
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/23592
Access Level:acceso abierto
Palabra clave:Black holes, shadow, null geodesics
Agujeros negros, sombra, geodésicas nulas
Descripción
Sumario:In this work, the shadow of the Schwarzschild black hole is studied analytically. The shadow of an object is understood as the shape that said object has in space, seen by an observer when only the properties of space-time are considered. To nd the analytical solution we use the Hamilton-Jacobi equation, the separation of variables method and the introduction of a conserved Carter-type quantity. For the determination of the orbits of constant radius, the impact parameters and the celestial coordinates will be used.