Analogue Hawking Effect: a master equation
arXiv:2003.04236 · doi:10.1103/PhysRevD.102.105003
Abstract
We consider further on the problem of the analogue Hawking radiation. We propose a fourth order ordinary differential equation, which allows to discuss the problem of Hawking radiation in analogue gravity in a unified way, encompassing fluids and dielectric media. In a suitable approximation, involving weak dispersive effects, WKB solutions are obtained far from the horizon (turning point), and furthermore an equation governing the behaviour near the horizon is derived, and a complete set of analytical solutions is obtained also near the horizon. The subluminal case of the original fluid model introduced by Corley and Jacobson, the case of dielectric media are discussed. We show that in this approximation scheme there is a mode which is not directly involved in the pair-creation process. Thermality is verified and a framework for calculating the grey-body factor is provided.
arXiv comment26 pages, 2 figures. Published version. Title a bit changed in PRD
References in corpus (29)
- Hawking Spectrum and High Frequency Dispersion
- Essential and inessential features of Hawking radiation
- Hawking Radiation Without Transplanckian Frequencies
- Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
- Black-hole radiation in Bose-Einstein condensates
- On the Universality of the Hawking Effect
- Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects
- Black/White hole radiation from dispersive theories
- Black hole radiation with short distance dispersion, an analytical S-matrix approach
- Dielectric black holes induced by a refractive index perturbation and the Hawking effect
- On the origin of the particles in black hole evaporation
- Generalization of the model of Hawking radiation with modified high frequency dispersion relation
- Undulations from amplified low frequency surface waves
- Derivation of Hawking radiation in dispersive dielectric media
- Blackbody emission from light interacting with an effective moving dispersive medium
- The imprint of the analogue Hawking effect in subcritical flows
- Spontaneous quantum emission from analog white holes in a nonlinear optical medium
- Black hole radiation with high frequency dispersion
- Hawking radiation of massive modes and undulations
- Low frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
- Hawking radiation with dispersion: The broadened horizon paradigm
- Low frequency analogue Hawking radiation: The Korteweg-de Vries model
- Hawking radiation with dispersion versus breakdown of WKB
- Impossibility of superluminal travel in Lorentz violating theories
- Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
- The Hopfield-Kerr model and analogue black hole radiation in dielectrics
- Analogue Hawking Effect: BEC and Surface Waves
- An exact solution for the Hawking effect in a dispersive fluid
- Phi-Psi model for Electrodynamics in dielectric media: exact quantisation in the Heisenberg representation