Black Hole Shadows and Invariant Phase Space Structures

Abstract

Utilizing concepts from dynamical systems theory, we demonstrate how the existence of light rings, or fixed points, in a spacetime will give rise to families of periodic orbits and invariant manifolds in phase space. It is shown that these structures define the shape of the black hole shadow as well as a number of salient features of the spacetime lensing. We illustrate this through the analysis of lensing by a hairy black hole.

6 pages

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Cited by in corpus (31)

• Can different black holes cast the same shadow?
• Image of the Janis-Newman-Winicour naked singularity with a thin accretion disk
• Shadows of Bonnor black dihole by chaotic lensing
• Chaotic shadow of a non-Kerr rotating compact object with quadrupole mass moment
• The shadow and photon sphere of the charged black hole in Rastall gravity
• Polarization effects in Kerr black hole shadow due to the coupling between photon and bumblebee field
• The modification of photon trapping orbits as a diagnostic of non-Kerr spacetimes
• Chaotic Shadows of Black Holes: A Short Review
• Shadow of a Schwarzschild black hole surrounded by a Bach-Weyl ring
• Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index
• Metamorphoses of a photon sphere
• Multiple shadows from distorted static black holes
• Photon regions and umbilic conditions in stationary axisymmetric spacetimes
• Killing tensors and photon surfaces in foliated spacetimes
• Lux in obscuro II: Photon Orbits of Extremal AdS Black Holes Revisited
• Quasinormal modes in two-photon autocorrelation and the geometric-optics approximation
• Effect of gravitational wave on shadow of a Schwarzschild black hole
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• Imaging Higher Dimensional Black Objects
• Determination of the spin parameter and the inclination angle by the relativistic images in black hole image
• The ring-shaped shadow of rotating naked singularity with a complete photon sphere
• Upper bound on the radii of regular ultra-compact star photonspheres
• Selected spherical photon orbits around a deformed Kerr black hole
• Upper bounds on the compactness at the innermost light ring of anisotropic horizonless spheres
• Strong-field gravitational lensing by black holes
• Shadow of a disformal Kerr black hole in quadratic DHOST theories
• No short hair behaviors of ultra-compact stars
• The surface geometry and shadow of a Schwarzschild black hole with halo
• A General Discussion on Photon Spheres in Different Categories of Spacetimes
• Lyapunov exponents and geodesic stability of Schwarzschild black hole in the non-commutative gauge theory of gravity
• Photon region boundary for stationary axisymmetric black holes