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

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.

19 pages,v2: minor changes, references added, accepted version

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• The Large D Limit of Einstein's Equations
• Observational signature of a near-extremal Kerr-Sen black hole in the heterotic string theory
• Black Ripples, Flowers and Dumbbells at large $D$
• High spin expansion for null geodesics
• Observability of Zero-angular-momentum Sources Near Kerr Black Holes
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• QED Effects on Kerr Black Hole Shadows immersed in uniform magnetic fields