2000/07/31 by Shinji Mukohyama · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.63.044008
published as Phys.Rev. D63 (2001) 044008 · Latex, 5 pages; derivation of exact solutions was simplified, short discussion about radion stabilization was added; additional constraint on brane tensions were found; references were added
arxiv created 2000/10/20 · openalex publication_date 2001/01/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The semiclassical Einstein equation in five dimensions with a negative cosmological constant and conformally invariant bulk matter fields is examined in the brane world scenario with S1/Z2 compactification. When numbers Nb,f of bosonic and fermionic fields satisfy I<\ensuremathκ2l^\ensuremath-3(Nb\ensuremath-Nf)<32I, we obtain an exact semiclassical solution which has two static branes with positive tension and for which the warp factor can be arbitrarily large. Here, \ensuremathκ2 is the five-dimensional gravitational constant, l is a length scale determined by the negative five-dimensional cosmological constant, and I is a dimensionless positive constant of order unity. However, in order to obtain a large warp factor, fine-tuning of brane tensions is required. Hence, in order to solve the hierarchy problem, we need to justify the fine-tuning by another new mechanism.