Light behaviors outside a black hole surrounded by dark matter

Department of Physics and Institute of Electromagnetics and Acoustics, Xiamen University - Xiamen 361005, China

^(a) 641088264@qq.com
^(b) kenyon@xmu.edu.cn (corresponding author)

Received: 13 June 2021
Accepted: 9 July 2021

Abstract

Here we show the light behaviors outside a Schwarzschild black hole that is surrounded by a dark matter model proposed by Konoplya (see Konoplya R., Phys. Lett. B, 795 (2019) 1). It is worth mentioning that dark matter is studied for the first time in an optical system by transformation optics theory. Different from other works of mimicking curved spaces with geodesic equations, we calculate ray trajectories using the equivalent anisotropic material tensor, which can also be used to simulate field patterns for wave optics. The results from geometric optics and wave optics agree with each other perfectly, showing the gravitational lensing effects and light trapping properties, revealing the influences of dark matter on the black hole shadow and gravity, which can give some hints for future observations.