1999/12/31 by Panagiota Kanti, P. Kanti, I. I. Kogan +5 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Compactification (mathematics) #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dilaton #Friedmann equations #Geometry #Lambda #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Tensor (intrinsic definition) #Theoretical physics #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.61.106004
published as Phys.Rev.D61:106004,2000 · 25 pages, Latex file, no figures, comments added, references updated, final version to appear in Physical Review D
arxiv created 2000/02/29 · openalex publication_date 2000/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Friedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing T55 which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-momentum tensor arises from the back reaction of the dilaton coupling to the brane. The same positive features are exhibited in solutions found in the presence of nonvanishing cosmological constants both on the brane (\ensuremathΛbr) and in the bulk (\ensuremathΛB). Moreover, the restoration of the Friedmann equation, with the correct sign, takes place for both signs of \ensuremathΛB so long as the sign of \ensuremathΛbr is opposite \ensuremathΛB in order to cancel the energy densities of the two cosmological constants. We further extend our single-brane thin-wall solution to allow a brane with finite thickness.