Photon Emission Near Myers-Perry Black Holes in the Large Dimension Limit

TL;DR

This paper analyzes photon trajectories near Myers-Perry black holes in the large dimension limit, providing analytical solutions for equatorial geodesics and a model for electromagnetic phenomena near black holes.

Contribution

It introduces a method to solve null geodesics in large dimension black hole backgrounds, especially for equatorial motion, using matched asymptotic expansions.

Findings

Radial integrals of geodesics are solvable analytically.

Equatorial geodesic equations are explicitly solvable.

Potential applications to electromagnetic phenomena near black holes.

Abstract

We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit. We find that in this limit the radial integrals of these geodesics can be obtained by using the method of matched asymptotic expansions. If the motion of the photon is confined to the equator plane, then all geodesic equations are solvable analytically. The study in this paper may provide a toy model to analyze the observables relevant to the electromagnetic phenomena occurring near the black holes.