Black Hole Evaporation Process and Tangherlini-Reissner-Nordstr\"om Black Holes Shadow

TL;DR

This paper investigates the evaporation process and shadow properties of higher-dimensional charged black holes (TRN black holes), analyzing how extra dimensions influence their mass loss, photon orbits, and observable shadows.

Contribution

It provides a detailed analysis of black hole evaporation and shadow characteristics in higher-dimensional spacetime, extending previous models to include charge and multiple dimensions.

Findings

Black hole shadow size decreases with more spacetime dimensions.

Photon orbits shrink as the number of dimensions increases.

Higher-dimensional effects influence the angular diameter of black hole shadows.

Abstract

In this article, we study the black hole evaporation process and shadow property of the Tangherlini-Reissner-Nordstr\"om (TRN) black holes. The TRN black holes are the higher-dimensional extension of the Reissner-Nordstr\"om (RN) black holes and are characterized by their mass $M$, charge $q$, and spacetime dimensions $D$. In higher-dimensional spacetime, the black hole evaporation occurs rapidly, causing the black hole's horizon to shrink. We derive the rate of mass loss for the higher-dimensional charged black hole and investigate the effect of higher-dimensional spacetime on charged black hole shadow. We derive the complete geodesic equations of motion with the effect of spacetime dimensions $D$. We determine impact parameters by maximizing the black hole's effective potential and estimate the critical radius of photon orbits. The photon orbits around the black hole shrink with the effect of the increasing number of spacetime dimensions. To visualize the shadows of the black hole, we derive the celestial coordinates in terms of the black hole parameters. We use the observed results of M87 and Sgr A$^{*}$ black hole from the Event Horizon Telescope and estimate the angular diameter of the charge black hole shadow in the higher-dimensional spacetime. We also estimate the energy emission rate of the black hole. Our finding shows that the angular diameter of the black hole shadow decreases with the increasing number of spacetime dimensions $D$.