Optical and Thermodynamic Properties of a Rotating Dyonic Black Hole Spacetime in $\mathcal{N} = 2, U(1)^2$ gauged supergravity

TL;DR

This paper explores the optical and thermodynamic characteristics of a rotating dyonic black hole in gauged supergravity, analyzing photon trajectories, shadow formation, and stability through heat capacity under various parameters.

Contribution

It provides a detailed analysis of black hole shadows and thermodynamic stability in a specific supergravity model, including the effects of multiple parameters on these properties.

Findings

Black hole shadows vary with parameters like $ u$, $e$, $g$, and $N_g$.

Thermodynamic stability is assessed via heat capacity analysis.

Parameter changes influence both optical and thermodynamic behaviors.

Abstract

The null geodesics and the distance of closest approach for photon around a rotating dyonic black hole in $\mathcal{N} = 2, U(1)^2$ gauged supergravity is studied. The phenomenon of black hole shadows with various black hole parameters has also analyzed. Further, the investigation of various thermodynamic properties for this black hole is performed with various thermodynamic parameters at the horizon. The heat capacity to study the thermodynamic stability of this black hole spacetime is also studied. The influence for different values of the black hole parameters $ \nu $, $ e $, $ \nu $, $ g $ and $N_{g}$ on the phenomenon of black hole shadows and thermodynamic parameters is also investigated visually.