Light Trajectories and Thermal Shadows casted by Black Holes in a Cavity

TL;DR

This paper investigates the optical properties and thermal shadows of charged black holes within a cavity, analyzing how cavity temperature and charge influence black hole shadows, light trajectories, and related thermodynamic behaviors.

Contribution

It introduces a detailed analysis of black hole shadows and light trajectories in a cavity, revealing universal optical ratios and thermal behaviors similar to AdS black holes.

Findings

Shadow radius increases as cavity temperature decreases.

Light trajectories differ from non-rotating black holes due to cavity effects.

Universal ratio of impact parameter to photon sphere radius approximates √3.

Abstract

We explore the shadows and the photon rings casted by black holes in cavity. Placing the observer inside such an isothermal background, we examine the influence of the cavity temperature T_{cav} and the charge Q on the involved optical aspect. After studying the effect of the horizon radius by varying Q, we investigate the thermal behaviors of the black hole shadows in a cavity. For fixed charge values, we find that the shadow radius r_s increases by decreasing T_{cav}. Varying such a temperture, we discuss the associated energy emission rate. After that, we show that the curves in the r_s-T_{cav} plane share similarities with the G-T curves of the Anti de Sitter (AdS) black holes. Then, we study the trajectory of the light rays casted by black holes in a cavity. We further observe that the light trajectory behaviors are different than the ones of the non rotating black holes due to the cavity effect. Finally, we provide evidence for the existence of an universal ratio defined in terms of the photon sphere radius and the impact parameter. Concretely, we obtain a optical ratio \frac{b_{sp}}{r_{sp}} \sim \sqrt 3.