Stress-energy tensor in soluble models of spherically symmetric charged black hole evaporation

2001/07/17 by Kamran Diba, David A. Lowe
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cauchy stress tensor #Charged black hole #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Evaporation #Exact solutions in general relativity #Geometry #Gravitation #Mathematics #Physics #Quantum mechanics #Relativity and Gravitational Theory #Schwarzschild radius #Stress (linguistics) #Stress–energy tensor #Tensor (intrinsic definition) #Thermodynamics #hep-th

paper · pdf · doi:10.1103/physrevd.65.024018

published as Phys.Rev.D65:024018,2002 · 19 pages, 14 figures

arxiv created 2001/07/17 · openalex publication_date 2001/12/21 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

We study the decay of a near-extremal black hole in AdS₂, related to the near-horizon region of (3+1)-dimensional Reissner-Nordstr"om spacetime, following Fabbri, Navarro, and Navarro-Salas. Back reaction is included in a semiclassical approximation. Calculations of the stress-energy tensor of matter coupled to the physical spacetime for an affine null observer demonstrate that the black hole evaporation proceeds smoothly and the near-extremal black hole evolves back to an extremal ground state, until this approximation breaks down.

Citations

• Semiclassical extremal black holes
• Conservation laws and two-dimensional black holes in dilaton gravity
• Quantum Fields in Curved Space
• Dynamics of extremal black holes
• Semiclassical approach to black hole evaporation
• Quantum evolution of near-extremal Reissner–Nordström black holes