Received: 2 February 2024 / Accepted: 14 March 2024 / Published online: 23 March 2024 | Yuan Meng, Xiao-Mei Kuang, Xi-Jing Wang, Bin Wang, Jian-Pin Wu
This paper investigates the optical appearance and shadow of a hairy Reissner–Nordström (RN) black hole illuminated by two toy models of static accretion. The hairy RN black hole is constructed using the gravitational decoupling (GD) approach, which describes the deformation of a Schwarzschild black hole due to additional sources such as scalar fields, tensor fields, or fluid-like dark matter. The parameters characterizing the hairy RN black hole include mass ($M$), deformation factor ($\alpha$), electric charge ($Q$), and additional hairy charge ($I_o$). The study finds that the event horizon, photon sphere radius, and critical impact parameter increase with $Q$ and $I_o$, but decrease with $\alpha$. These parameters significantly affect the photon trajectories and the shadows and images of the hairy RN black hole when illuminated by thin accretion disks and spherical accretions. Specifically, both $Q$ and $I_o$ have reinforcing effects on the optical appearance and shadows, making it difficult to distinguish between the electric charge and hairy charge from the shadow and image. Additionally, the competing effects of the charge parameters ($Q, I_o$) and the deviation parameter $\alpha$ on the observed brightness lead to potential degeneracies in the optical appearance between the hairy RN black hole and the standard RN black hole. The results contribute to the understanding of the observable features of hairy RN black holes and provide insights into the background theory that generates such solutions.This paper investigates the optical appearance and shadow of a hairy Reissner–Nordström (RN) black hole illuminated by two toy models of static accretion. The hairy RN black hole is constructed using the gravitational decoupling (GD) approach, which describes the deformation of a Schwarzschild black hole due to additional sources such as scalar fields, tensor fields, or fluid-like dark matter. The parameters characterizing the hairy RN black hole include mass ($M$), deformation factor ($\alpha$), electric charge ($Q$), and additional hairy charge ($I_o$). The study finds that the event horizon, photon sphere radius, and critical impact parameter increase with $Q$ and $I_o$, but decrease with $\alpha$. These parameters significantly affect the photon trajectories and the shadows and images of the hairy RN black hole when illuminated by thin accretion disks and spherical accretions. Specifically, both $Q$ and $I_o$ have reinforcing effects on the optical appearance and shadows, making it difficult to distinguish between the electric charge and hairy charge from the shadow and image. Additionally, the competing effects of the charge parameters ($Q, I_o$) and the deviation parameter $\alpha$ on the observed brightness lead to potential degeneracies in the optical appearance between the hairy RN black hole and the standard RN black hole. The results contribute to the understanding of the observable features of hairy RN black holes and provide insights into the background theory that generates such solutions.