2010/05/03 by Tomohiro Takahashi, Jiro Soda
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Event (particle physics) #Event horizon #Hawking radiation #Horizon #Mathematical physics #Micro black hole #Physics #Planck #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar field #Sonic black hole #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/27/17/175008
published as Class.Quant.Grav.27:175008,2010 · 35pages, 4 figures
arxiv created 2010/05/03 · openalex publication_date 2010/07/19 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Classically, black holes have a rigid event horizon. However, quantum mechanically, the event horizon of black holes becomes fuzzy due to quantum fluctuations. We study Hawking radiation of a real scalar field from a fluctuating black hole. To quantize metric perturbations, we derive the quadratic action for those in the black hole background. Then, we calculate cubic interaction terms in the action for the scalar field. Using these results, we obtain the spectrum of Hawking radiation in the presence of the interaction between the scalar field and the metric. It turns out that the spectrum deviates from the Planck spectrum due to quantum fluctuations of the metric.