1998/09/30 by Patricio S. Letelier, Samuel Rocha de Oliveira, Samuel R. Oliveira
Mathematics · Physics and Astronomy · #Acceleration #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Event horizon #Gravitational singularity #Hawking radiation #Horizon #Mathematical analysis #Mathematics #Micro black hole #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Smoothness #Spacetime #Unruh effect #White hole #gr-qc
paper · pdf · doi:10.1103/physrevd.64.064005
published as Phys.Rev. D64 (2001) 064005 · Substantial revision after referee's comments. 21 pages, 3 figures, 2 tables. (amsmath and graphicx packages). Accepted to Phys. Rev. D
arxiv created 2001/06/12 · openalex publication_date 2001/08/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The static and stationary C metric are examined in a generic framework and their interpretations studied in some detail, especially those with two event horizons, one for the black hole and another for the acceleration. We find that (i) the spacetime of an accelerated static black hole is plagued by either conical singularities or a lack of smoothness and compactness of the black hole horizon, (ii) by using standard black hole thermodynamics we show that accelerated black holes have a higher Hawking temperature than Unruh temperature of the accelerated frame, and (iii) the usual upper bound on the product of the mass and acceleration parameters (<1/√(27)) is just a coordinate artifact. The main results are extended to accelerated rotating black holes with no significant changes.