Shadow of a charged black hole surrounded by an anisotropic matter field

TL;DR

This paper investigates the shadow of a rotating charged black hole influenced by anisotropic matter, providing new insights into its observable features through analytical and numerical methods.

Contribution

It introduces a novel rotating black hole solution with anisotropic matter and analyzes its shadow using the Newman-Janis algorithm and observable characterization.

Findings

The black hole shadow's size and shape depend on anisotropic matter parameters.

The study provides specific observable metrics for black hole shadow features.

Results suggest potential observational signatures of anisotropic matter around black holes.

Abstract

A certain type of matter with anisotropic pressures can add to the Reissner-Nordstr\"om metric a term proportional to a power of the radial coordinate. Using the standard method of separating variables for the Hamilton-Jacobi equation, we study the shadow of the corresponding rotating solution, obtained through the Newman-Janis algorithm. We define and calculate three observables in order to characterize the position, size and shape of the shadow.