2025/06/06 by Steffen Aksteiner, Lars Andersson, Mattias Dahl +2
Mathematics 路 Physics and Astronomy 路 #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Gravitation #Instanton #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Symmetry (geometry) #Theoretical physics
paper 路 doi:10.1515/crelle-2025-0037
openalex publication_date 2025/06/06 路 crossref created 2025/06/06 路 crossref deposited 2025/06/06 路 crossref issued 2025/06/07 路 crossref published 2025/06/07 路 crossref published-online 2025/06/07 路 openalex created_date 2025/10/10 路 crossref indexed 2026/08/01 路 openalex updated_date 2026/08/06
Abstract Uniqueness results for asymptotically locally flat and asymptotically flat <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>S</m:mi> <m:mn>1</m:mn> </m:msup> </m:math> S1 -symmetric gravitational instantons are proved using a divergence identity of the type used in uniqueness proofs for static black holes, combined with results derived from the 饾惡-signature theorem. Our results include a proof of the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>S</m:mi> <m:mn>1</m:mn> </m:msup> </m:math> S1 -symmetric version of the Euclidean Black Hole Uniqueness Conjecture, a uniqueness result for the Taub-bolt family of instantons, as well as a proof that an ALF <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>S</m:mi> <m:mn>1</m:mn> </m:msup> </m:math> S1 -symmetric instanton with the topology of the Chen鈥揟eo family of instantons is Hermitian.