On non-existence of static vacuum black holes with degenerate components of the event horizon

2005/12/06 by Piotr T. Chruściel, Piotr T. Chrusciel, Harvey S. Reall +1 · 7 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/23/2/018

published as Class.Quant.Grav. 23 (2006) 549-554 · latex2e, 9 pages in A4

arxiv created 2005/12/06 · openalex publication_date 2005/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the generalization to higher dimensions and the inclusion of a cosmological constant.

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