2024/03/19 by Joshua Baines, Matt Visser, Baines, Joshua +1
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.2403.13058
openalex publication_date 2024/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the perturbative, fully explicit, analytical behaviour of photon escape cones in the Kerr spacetime. When one conducts the fully general non-perturbative Kerr analysis, one quickly finds that one must at some point appeal to numerical and/or graphical methods. Herein we find that we are able to say much more if we look at the slow rotation limit (i.e., a ≪ m). Indeed we give explicit and tractable expressions for the first and second order (in a) contributions to both the shape of the escape cone, and the solid angle subtended by the escape cone. We then look at a few special cases at each order, thereby leading to explicit expressions for the black hole silhouette, expressions which are of great interest to the observational community when studying images of black hole silhouettes ("shadows").