Static Black Hole Uniqueness for nonpositive masses

2020/08/25 by Stefano Borghini
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Degenerate energy levels #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #Uniqueness #Uniqueness theorem for Poisson's equation #gr-qc #math.AP #math.DG #msc:35B06 #msc:53C21 #msc:83C57

paper · pdf · doi:10.1016/j.na.2022.112843

published as Nonlinear Analysis 220 (2022) 112843 · 11 pages, 1 figure. Version 2: correction of a reference and of some typos

arxiv created 2020/08/25 · openalex publication_date 2022/03/07 · arxiv updated 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In arXiv:1310.3002, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an application, they were able to obtain a static uniqueness theorem for Kottler spacetimes with nonpositive mass. In this paper, we propose an alternative more elementary proof of this static uniqueness result and we discuss some possible generalizations, most notably to degenerate horizons.

Citations

• The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
• On non-existence of static vacuum black holes with degenerate components of the event horizon
• Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie
• A classification theorem for static vacuum black holes. Part I: the study of the lapse