Analyzing the effect of higher dimensions on the black hole silhouette, deflection angles, and PINN approximated quasinormal modes

TL;DR

This paper explores how higher dimensions affect black hole properties like shadows, deflection angles, and quasinormal modes, using classical methods and PINNs, revealing that increased dimensions weaken gravitational effects and alter observable signatures.

Contribution

It introduces a novel analysis of higher-dimensional black holes' observable properties using PINNs, extending classical methods to include higher dimensions and their impact on black hole signatures.

Findings

Shadow size decreases with higher dimensions

Deflection angles become weaker in higher dimensions

QNM frequencies shift as dimensions increase

Abstract

This study investigates the effects of higher dimensions on the observable properties of Schwarzschild-Tangherlini black holes, focusing on the photonsphere, shadow radius, deflection angles, and quasinormal modes (QNMs). By extending classical methods with Physics-Informed Neural Networks (PINNs), the research examines how increasing dimensionality alters these properties, causing shadow size reduction, weaker deflection angles, and shifts in QNM frequencies. The findings suggest that as black holes increase in dimensionality, their gravitational influence diminishes, particularly affecting light deflection and the stability of photon orbits. Through both weak and strong deflection analyses, this study indicates the need for ultrasensitive technology to detect these higher-dimensional signatures. Remarks on the observational data constraints currently favor four-dimensional spacetime; however, the exploration of additional dimensions remains vital in advancing models of quantum gravity. This work provides a theoretical framework for understanding black hole behavior in higher dimensions, potentially informing future astrophysical observations.