Image of the time-dependent black hole
arXiv:2507.14565 · doi:10.1016/j.physletb.2025.139745
Abstract
The Event Horizon Telescope's 2024 observations report a shift in the position angle of the brightness asymmetry in M87*, revealing time variability in the black hole's image. In this analysis, we investigate the time-dependent of a Vaidya black hole. By introducing a mass function that increases linearly with time, along with a conformal transformation, we derive the conformal Vaidya metric and define a new time coordinate . Using the semi-analytical approach, we analyze the ray trajectories and radiation flux of the Vaidya black hole in the background of a thin accretion disk. We discuss how the observed flux in the Vaidya spacetime evolves as a function of the new time coordinate . The results show that the facula on the observable plane undergoes radial displacement as increases, revealing the time-dependent evolution of black hole images.
11 pages, 8 figures
References in corpus (23)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Black Hole Shadows, Photon Rings, and Lensing Rings
- Calculating black hole shadows: Review of analytical studies
- Lensing by Kerr Black Holes
- Image of Kerr-Melvin black hole with thin accretion disk
- Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings
- Image of the Janis-Newman-Winicour naked singularity with a thin accretion disk
- Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
- Understanding photon sphere and black hole shadow in dynamically evolving spacetimes
- QED and accretion flow models effect on optical appearance of Euler-Heisenberg black holes
- Rings and images of Horndeski hairy black hole illuminated by various thin accretions
- Testing the Schwarzschild metric in a strong field region with the Event Horizon Telescope
- Images from disk and spherical accretions of hairy Schwarzschild black holes
- Photon sphere and shadow of a time-dependent black hole described by a Vaidya metric
- Images of hairy Reissner-Nordström black hole illuminated by static accretions
- Influence of accretion disk on the optical appearance of the Kazakov-Solodukhin black hole
- Image of the Kerr-Newman black hole surrounded by a thin accretion disk
- Disks as Inhomogeneous, Anisotropic Gaussian Random Fields
- Optical appearance of a thin-shell wormhole with a Hayward profile
- Conformal symmetries in generalised Vaidya spacetimes
- Optical appearance of numerical black hole solutions in higher derivative gravity
- Shadows of Kerr-Vaidya-like black holes