Abstract
Particle radiation from black holes has an observed emission power depending on the surface gravity kappa = c^4/(4GM) as Pblack hole∼ħκ26πc2=ħc696πG2M2,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$\\begin{aligned} P_{\\text {black hole}} \\sim \\frac{\\hbar \\kappa ^2}{6\\pi c^2} = \\frac{\\hbar c^6}{96\\pi G^2 M^2}, \\end{aligned}$$\\end{document}while both the radiation from accelerating particles and moving mirrors (accelerating boundaries) obey similar relativistic Larmor powers, Pelectron=q2α26πϵ0c3,Pmirror=ħα26πc2,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$\\begin{aligned} P_{\\text {electron}}= \\frac{q^2\\alpha ^2}{6\\pi \\epsilon _0 c^3}, \\quad P_{\\text {mirror}} =\\frac{\\hbar \\alpha ^2}{6\\pi c^2}, \\end{aligned}$$\\end{document}where alpha is the Lorentz invariant proper acceleration. This equivalence between the Lorentz invariant powers suggests a close relation that could be used to understand black hole radiation. We show that an accelerating mirror with a prolonged metastable acceleration plateau can provide a unitary, thermal, energy-conserved analog model for black hole decay.
Highlights
The system will preserve information but emit thermal energy, conserve total radiated energy, and emit finite total particles, without infrared divergence. This model serves as an analog for complete black hole evaporation
Particular emphasis is placed on unitary complete black hole evaporation models which are characterized by asymptotic zero-velocity mirrors (e.g. [32–38])
We investigate the connection between these for complete black hole evaporation via the analog case of uniform acceleration
Summary
Another aspect of great interest [12] is that asymptotically static mirrors preserve unitarity and information [13]. We explore a model that merges these two regimes of uniform acceleration and zero acceleration and show that this system, intuitively, can radiate particles for an extended time with constant power. The system will preserve information but emit thermal energy, conserve total radiated energy, and emit finite total particles, without infrared divergence. This model serves as an analog for complete black hole evaporation. Asymptotic finite acceleration (asymptotic uniform acceleration) correspond to extremal black holes [21–24] while asymptotic constant velocity (zero acceleration) can give information preserving quasi-thermal solutions describing black hole remnant models The model presented here will preserve information, evolve to thermal equilibrium, and conserve emitted energy, providing an analog for a black hole that completely evaporates away into radiation.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
