2006/10/31 by Keith Copsey · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bubble #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geometry #Instability #Kaluza–Klein theory #Mathematics #Mechanics #Noncommutative and Quantum Gravity Theories #Nothing #Physics #gr-qc #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/12/007
published in Journal of High Energy Physics 2007(12), 007 (Springer Nature) · 27 pages, 2 figures, v2: minor changes, published version
arxiv created 2007/12/04 · openalex publication_date 2007/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
I present analytic time symmetric initial data for five dimensions describing ``bubbles of nothing'' which are asymptotically flat in the higher dimensional sense, i.e. there is no Kaluza-Klein circle asymptotically. The mass and size of these bubbles may be chosen arbitrarily and in particular the solutions contain bubbles of any size which are arbitrarily light. This suggests the solutions may be important phenomenologically and in particular I show that at low energy there are bubbles which expand outwards, suggesting a new possible instability in higher dimensions. Further, one may find bubbles of any size where the only region of high curvature is confined to an arbitrarily small volume.