Stability ofAdSp×Sn×Sq−ncompactifications

2001/06/28 by Tetsuya Shiromizu, Daisuke Ida, Hirotaka Ochiai +1
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Compactification (mathematics) #Computer science #Cosmology and Gravitation Theories #Machine learning #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Stability (learning theory) #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.64.084025

published as Phys.Rev.D64:084025,2001 · 6 pages, 3 figures

arxiv created 2001/06/28 · openalex publication_date 2001/09/26 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We examine the stability of AdS_p\ifmmode×\else\texttimes\fiSⁿ\ifmmode×\else\texttimes\fiS^q\ensuremath-n. The initial data constructed by De Wolfe et al. is carefully analyzed and we confirm that there is no lower bound for the total mass for q<9. The effective action on AdS_p is derived for dilatonic compactification of the system to describe the nonlinear fluctuation of the background space-time. The stability is discussed applying the positive energy theorem to the effective theory on AdS, which again shows the stability for q>~9.

Citations

• Fate of the Kaluza-Klein bubble
• Stability of gravity with a cosmological constant
• Collapse of Kaluza-Klein bubbles
• Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• A new proof of the positive energy theorem
• Asymptotically anti-de Sitter spacetimes: conserved quantities
• The large N limit of superconformal field theories and supergravity