2001/09/25 by Kirill Melnikov, Melnikov, Kirill, Marvin Weinstein +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Biology #Cosmology and Gravitation Theories #Covariant Hamiltonian field theory #Entropy (arrow of time) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Gravitational wave #Hamiltonian (control theory) #Hamiltonian system #Hawking #Hawking radiation #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Non canonical #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0109201
5 pages, revtex
arxiv created 2001/09/25 · openalex publication_date 2001/09/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a derivation of Hawking radiation based on canonical quantization of a massless scalar field in the background of a Schwarzschild black hole using Lemaitre coordinates and show that in these coordinates the Hamiltonian of the massless field is time-dependent. This result exhibits the non-static nature of the problem and shows it is better to talk about the time dependence of physical quantities rather than the existence of a time-independent vacuum state for the massless field. We then demonstrate the existence of Hawking radiation and show that despite the fact that the flux looks thermal to an outside observer, the time evolution of the massless field is unitary.