Shadow cast and center of mass energy in a charged Gauss-Bonnet-AdS black hole

TL;DR

This paper investigates the shadow cast and center of mass energy of a 4D charged Gauss-Bonnet-AdS black hole, analyzing how various parameters influence these phenomena through particle dynamics and geodesic calculations.

Contribution

It provides a detailed analysis of how charge, AdS radius, and Gauss-Bonnet coupling affect black hole shadow size and energy emission, offering new insights into black hole physics in modified gravity models.

Findings

Charge and AdS radius decrease shadow radius in AdS spacetime.

Gauss-Bonnet coupling increases shadow radius in AdS spacetime.

Charge and Gauss-Bonnet coupling decrease shadow radius in asymptotically flat spacetime.

Abstract

This work is devoted to the exploration of shadow cast and center of mass energy in the background of a 4-dimensional charged Gauss-Bonnet AdS black hole. On investigating particle dynamics, we have examined BH's metric function. Whereas, with the help of null geodesics, we pursue to calculate the celestial coordinates and the shadow radius of the black hole. We have made use of the hawking temperature to study the energy emission rate. Moreover, we have explored the center of mass energy and discussed its characteristics under the influence of spacetime parameters. For a better understanding, we graphically represent all of our main findings. The acquired result shows that both charge and AdS radius ($l$) decrease the shadow radius, while the Gauss-Bonnet coupling parameter $\alpha$ increases the shadow radius in AdS spacetime. On the other hand, both $Q$ and $\alpha$ result in diminishing the shadow radius in asymptotically flat spacetime. Finally, we investigate the energy emission rate and center of mass energy under the influence of $Q$ and $\alpha$.