Black hole shadow of a rotating polytropic black hole by the Newman–Janis algorithm without complexification
Ernesto Contreras (School of Physical Sciences and Nanotechnology, Yachay Tech University, Urcuquí, 100119, Ecuador); J. Ramirez–Velasquez (School of Physical Sciences and Nanotechnology, Yachay Tech University, Urcuquí, 100119, Ecuador); Ángel Rincón (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla, 4059, Valparaiso, Chile); Grigoris Panotopoulos (Centro de Astrofísica e Gravitação, Departamento de Física, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Av. Rovisco Pais, Lisbon, 1049-001, Portugal); Pedro Bargueño (Departamento de Física, Universidad de Los Andes, Cra. 1 E No 18 A-10, Bogotá, Colombia)
In this work, starting from a spherically symmetric polytropic black hole, a rotating solution is obtained by following the Newman–Janis algorithm without complexification. Besides studying the horizon, the static conditions and causality issues of the rotating solution, we obtain and discuss the shape of its shadow. Some other physical features as the Hawking temperature and emission rate of the rotating polytropic black hole solution are also discussed.
