Photon regions and shadows of Kerr-Newman-NUT black holes with a cosmological constant

2014/03/31 by Arne Grenzebach, Volker Perlick, Claus Lämmerzahl +1 · 7 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmological constant #De Sitter universe #Geodesic #Geometry #Mathematical physics #Nut #Photon #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spacetime #Spin (aerodynamics) #Universe #de Sitter–Schwarzschild metric #gr-qc

paper · pdf · doi:10.1103/physrevd.89.124004

published as Phys. Rev. D 89, 124004 (2014) · 11 pages, 10 figures

openalex publication_date 2014/06/06 · arxiv created 2014/06/17 · arxiv updated 2014/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the Pleba\ifmmode \acuten\else 'n\fiski class of electrovacuum solutions to the Einstein equations with a cosmological constant. These space-times, which are also known as the Kerr-Newman-NUT--(anti--)de Sitter space-times, are characterized by a mass m, a spin a, a parameter \ensuremathβ that comprises electric and magnetic charge, a NUT parameter \ensuremathℓ and a cosmological constant \mathrm\ensuremathΛ. Based on a detailed discussion of the photon regions in these space-times (i.e., of the regions in which spherical lightlike geodesics exist), we derive an analytical formula for the shadow of a Kerr-Newman-NUT--(anti--)de Sitter black hole for an observer at given Boyer-Lindquist coordinates (r_O,\ensuremathϑ_O) in the domain of outer communication. We visualize the photon regions and the shadows for various values of the parameters.

Citations

• Spherical Photon Orbits Around a Kerr Black Hole
• The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space
• A class of solutions of Einstein-Maxwell equations
• Viewing the Shadow of the Black Hole at the Galactic Center
• Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
• Rotating, charged, and uniformly accelerating mass in general relativity
• Measuring Distance and Properties of the Milky Way’s Central Supermassive Black Hole with Stellar Orbits
• Global analysis of the Kerr-Taub-NUT metric
• Shadows of multi-black holes: Analytic exploration
• Black hole shadow image and visibility analysis of Sagittarius A
• Shape and position of the shadow in the δ = 2 Tomimatsu–Sato spacetime

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• Event Horizon Image within Black Hole Shadow
• Silhouettes of invisible black holes
• Multiple shadows from distorted static black holes
• Light escape cones in local reference frames of Kerr–de Sitter black hole spacetimes and related black hole shadows
• On the shadow of rotating traversable wormholes
• Can shadows connect black hole microstructures?