2000/05/31 by Benjamı́n Grinstein, Benjamin Grinstein, Detlef R. Nolte +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Coupling constant #Dilaton #Galaxies: Formation, Evolution, Phenomena #Invariant (physics) #Mathematical physics #Mathematics #Particle physics #Physics #Poincaré conjecture #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Scalar (mathematics) #Scalar field #Spacetime #String cosmology #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.62.086006
published as Phys.Rev. D62 (2000) 086006 · 20 pages, section on perturbations revised, conclusions unchanged
arxiv created 2000/06/20 · openalex publication_date 2000/09/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A solution to the cosmological constant problem has been proposed in which our universe is a 3-brane in a 5-dimensional spacetime. With a bulk scalar, the field equations admit a Poincar'e invariant brane solution regardless of the value of the cosmological constant (tension) on the brane. However, the solution does not include matter in the brane. We find new exact static solutions with matter density and pressure in the brane. We study small perturbations about these solutions. None seem consistent with observational cosmology. As a by-product we find a class of new matterless static solutions and a non-static solution which, curiously, requires the string value for the dilaton coupling.