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Constraints on the Geometries of Black Holes in Classical and Semiclassical Gravity

1997/11/20 by Paul R. Anderson, Anderson, Paul R., Courtney D. Mull +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9711063

3 pages, Latex. Uses Mprocl.sty (included). To appear in the "Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity", June 22-27, 1997, The Hebrew University, Jerusalem, Israel

arxiv created 1997/11/20 · openalex publication_date 1997/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Constraints on the geometries of static spherically symmetric black holes are obtained by requiring that the spacetime curvature be analytic at the event horizon. Further constraints are obtained by requiring that the semiclassical trace equation be satisfied in the case that only conformally invariant fields are present. It is found that there exists a range of sizes for which zero temperature black holes do not exist. The range depends on the number and types of quantized fields present.

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