Effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity

TL;DR

This paper investigates how quantum deformations influence black hole shadows in two-dimensional Dilaton gravity, revealing that quantum effects cause observable distortions in shadow shape depending on parameters, with potential for future experimental detection.

Contribution

It introduces a model analyzing quantum effects on black hole shadows in 2D Dilaton gravity, highlighting how quantum corrections alter shadow shapes and providing a basis for future observational constraints.

Findings

Shadow shape depends on spin, quantum correction, and black hole type.

Quantum effects increase shadow distortion as parameter m grows.

Current observations cannot detect quantum effects but can set upper limits.

Abstract

In recent years, the study of quantum effects near the event horizon of black hole (BH) has attracted extensive attention. It has become one of the important methods to explore BH quantum properties by using the related properties of the quantum deformed black hole. In this work, we study the effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity. In this model, quantum effects are reflected on the quantum correction parameter m. By calculation, we find that: (1) the shape of the shadow boundary of a rotating black hole is determined by the BH spin $a$, the quantum correction parameter $m$ and the BH type parameter $n$; (2) when the spin $a=0$, the shape of the BH shadow is a perfect circle; when $a\neq 0$, the shape is distorted; if the quantum correction parameter $m=0$, their shapes reduce to the cases of Schwarzschild BH and Kerr BH respectively; (3) the degree of distortion of the BH shadow is different for various quantum correction parameters $m$; with the increase of the values of $m$, the shadow will become more and more obvious; (4) the results of different BH type parameter $n$ differ greatly. Since the value of $m$ in actual physics should be very small, the current observations of EHT cannot distinguish quantum effect from BH shadow, and can only constrain the upper limit of $m$. In future BH shadow measurements, it will be possible to distinguish quantum deformed black holes, which will help to better understand the quantum effects of BHs.