Holographic image features of an AdS black hole in Einstein-power-Yang-Mills gravity

TL;DR

This paper explores the holographic imaging of AdS black holes in Einstein-power-Yang-Mills gravity, revealing how physical parameters influence the shape and brightness of Einstein rings observed via the AdS/CFT correspondence.

Contribution

It introduces a novel holographic imaging method for AdS black holes in Einstein-power-Yang-Mills gravity and analyzes the effects of physical parameters on the observed rings.

Findings

Ring radius increases with temperature T and charge q.

Brightness peak decreases as T, u, and q increase.

Holographic ring positions match photon ring locations.

Abstract

By utilizing the AdS/CFT correspondence, we investigate the holographic image of an AdS black hole in Einstein-power-Yang-Mills gravity. The AdS boundary hosts a Gaussian oscillation source, which induces a lensed response on the opposite side of the boundary during propagation through bulk spacetime. The optical system assists observers at the north pole to continuously capture holographic images that show an axisymmetric bright ring known as the Einstein ring. As the observation position shifted, the bright ring gradually transformed into a luminous arc and eventually transitioned into a light point. Simultaneously, we examine the impact of variations in relevant physical quantity on the ring, and present the corresponding brightness curve. The results indicate that as the temperature $T$ and nonlinear Yang Mills charge parameter $q$ increase, the ring radius also increases, while an increase in the chemical potential $u$ leads to a decrease. However, the peak brightness curve of the ring invariably decreases as the values of $T$, $u$, and $q$ increase, albeit to varying degrees. Upon comparing the outcomes of geometric optics, it can be observed that the position of the ring in holography images is consistent with that of the photon ring.