On Computational CUDA Studies of Black Hole Shadows

TL;DR

This paper uses CUDA numerical codes and the Hamilton--Jacobi formalism to analyze black hole shadows and energy emission rates, revealing dependencies on certain parameters and establishing bounds consistent with Event Horizon Telescope observations.

Contribution

It introduces a CUDA-based computational approach to study black hole shadows, providing new bounds on parameters like the global monopole and electric charge.

Findings

Shadow structure depends on global monopole, electric charge, and rotation.

Energy emission rate varies with black hole parameters.

Euler--Heisenberg nonlinear parameter has negligible effect.

Abstract

Combining high-performance CUDA numerical codes with the Hamilton--Jacobi formalism, we investigate the shadows properties of rotating charged Euler--Heisenberg black holes in the presence of global monopoles. Then, we discuss the associated energy emission rate by varying the involved black hole parameters. As a result, we show that both the shadow structure and the energy emission rate depend on the global monopole parameter, the electric charge, and the rotation parameter. However, we observe that the Euler--Heisenberg nonlinear parameter does not significantly affect either the shadow or the energy emission rate. In order to reconcile the present theoretical predictions with the shadow observations reported by the Event Horizon Telescope collaboration, we employ a CUDA-based computational approach to establish strict bounds on the GM parameter, the electric charge, and the rotation parameter.