Interferometry of black holes with Hawking radiation
arXiv:2109.07044 · doi:10.1103/PhysRevD.105.045022
Abstract
We investigate the wave optical imaging of black holes with Hawking radiation. The spatial correlation function of Hawking radiation is expressed in terms of transmission and reflection coefficients for scalar wave modes and evaluated by numerically summing over angular quantum numbers for the Unruh-Hawking state of the Kerr-de Sitter black hole. Then, wave optical images of an evaporating black hole are obtained by the Fourier transformation of the spatial correlation function. For short wavelength, the image of the black hole with the outgoing mode of the Unruh-Hawking state has the appearance of a star with its surface given by the photon sphere. It is found that interference between incoming modes from the cosmological horizon and reflected modes due to the scattering of the black hole can enhance brightness of images in the vicinity of the photon sphere. For a long wavelength, the entire field of view is bright, and the emission region of Hawking radiation cannot be identified.
arXiv comment34 pages, Accepted version in Phys. Rev. D
References in corpus (26)
- A computable measure of entanglement
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
- Viewing the Shadow of the Black Hole at the Galactic Center
- First M87 Event Horizon Telescope Results. II. Array and Instrumentation
- First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
- Entanglement from the vacuum
- Harvesting correlations from the quantum vacuum
- Hawking radiation, the Stefan-Boltzmann law, and unitarization
- The physics of Hanbury Brown--Twiss intensity interferometry: from stars to nuclear collisions
- Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
- Harvesting Entanglement from the Black Hole Vacuum
- The renormalized stress tensor in Kerr space-time: general results
- Kerr-de Sitter Universe
- The black hole quantum atmosphere
- Harvesting correlations in Schwarzschild and collapsing shell spacetimes
- Quasinormal modes of Kerr-de Sitter black holes via the Heun function
- Classical and Quantum Correlations of Scalar Field in the Inflationary Universe
- Wave Optics in Black Hole Spacetimes: Schwarzschild Case
- Black hole evaporation in de Sitter space
- Entanglement dynamics in a Kerr spacetime
- Viewing Black Holes by Waves
- Exact solution for wave scattering from black holes: Formulation
- Violation of Bell-CHSH inequalities through optimal local filters in the vacuum