2010/12/31 by Jay Armas, Niels A. Obers · 3 citations
Mathematics · Physics and Astronomy · #Angular momentum #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #De Sitter universe #Limit (mathematics) #Limiting #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Rigidity (electromagnetism) #Rotating black hole #SPHERES #Spinning #Theoretical physics #Transverse plane #Universe #de Sitter–Schwarzschild metric #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.83.084039
published as Phys.Rev. D83 (2011) 084039 · v1: 1+29 pages, latex. v2: cosmetic changes. v3: .pdf file corrected
arxiv created 2011/02/07 · openalex publication_date 2011/04/19 · arxiv updated 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological constant is taken to be much smaller than the horizon size. This includes a class of blackfolds with horizons that are products of odd-spheres times a transverse sphere, for which the thermodynamic stability is also studied. Moreover, we exhibit a specific case in which the same blackfold solution can describe different limiting black hole spacetimes therefore illustrating the geometric character of the blackfold approach. Furthermore, we show that the higher-dimensional Kerr-(Anti)-de Sitter black hole allows for ultraspinning regimes in the same limit under consideration and demonstrate that this is correctly described by a pancaked blackfold geometry. We also give evidence for the possibility of saturating the rigidity theorem in these backgrounds.