2001/02/28 by Jerzy Matyjasek, J. Matyjasek, O. B. Zaslavskii +1 · 24 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Event (particle physics) #Event horizon #General relativity #Geometry #Horizon #Mathematical physics #Physics #Quantum #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Semiclassical physics #Spinor #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.64.104018
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 64(10) (American Physical Society) · Minor corrections. To appear in Phys. Rev. D
arxiv created 2001/08/21 · openalex publication_date 2001/10/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the effect of back reaction of quantized massive fields on the metric of extreme black holes (EBH's). We find the analytical approximate expression for the stress-energy tensor for a scalar (with an arbitrary coupling), spinor and vector fields near an event horizon. We show that, independent of a concrete type of EBH, the energy measured by a freely falling observer is finite on the horizon, so that quantum back reaction is consistent with the existence of EBH's. For the Reissner-Nordstr"om EBH with a total mass Mtot and charge Q we show that for all cases of physical interest Mtot<Q. We also discuss different types of quantum-corrected Bertotti-Robinson spacetimes, find for them exact self-consistent solutions, and consider situations in which tiny quantum corrections lead to the qualitative change of the classical geometry and topology. In all cases one should start not from a classical background with further added quantum corrections but from the quantum-corrected self-consistent geometries from the very beginning.