# Black hole shadow of a rotating polytropic black hole by the Newman--Janis algorithm without complexification

## TL;DR

This paper derives a rotating polytropic black hole solution using the Newman--Janis algorithm without complexification, analyzing its horizon, shadow, and physical properties like temperature and emission rate.

## Contribution

It introduces a novel method to obtain rotating black holes from static solutions without complexification, expanding the understanding of polytropic black hole characteristics.

## Key findings

- The shape of the black hole shadow is characterized.
- Horizon and causality conditions are analyzed.
- Hawking temperature and emission rate are discussed.

## Abstract

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.