2000/06/30 by Stefan Forste, Stefan Förste, Zygmunt Lalak +2 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmological constant problem #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Geometry #Gravitational singularity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/09/034
published as JHEP0009:034,2000 · 20 pages, LaTeX; minor corrections and a reference added
arxiv created 2000/07/06 · openalex publication_date 2000/09/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We point out several subtleties arising in brane-world scenarios of cosmological constant cancellation. We show that solutions with curvature singularities are inconsistent, unless the contribution to the effective four-dimentional cosmological constant of the physics that resolves the singularities is fine-tuned. This holds for both flat and curved branes. Irrespective of this problem, we then study an isolated class of flat solutions in models where a bulk scalar field with a vanishing potential couples to a 3-brane. We give an example where the introduction of a bulk scalar potential results in a nonzero cosmological constant. Finally we comment on the stability of classical solutions of the brane system with respect to quantum corrections.