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Induced cosmology on a regularized brane in six-dimensional flux compactification

2007/07/31 by Eleftherios Papantonopoulos, Antonios Papazoglou, Vassilios Zamarias · 41 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Codimension #Compactification (mathematics) #Conical surface #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #Einstein #Friedmann equations #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.12.031

published in Nuclear Physics B 797(3), 520-536 (Elsevier BV) · 19 pages, 3 figures, comments and references added, journal version

arxiv created 2007/12/17 · openalex publication_date 2008/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a six-dimensional Einstein-Maxwell system compactified in an axisymmetric two-dimensional space with one capped regularized conical brane of codimension one. We study the cosmological evolution which is induced on the regularized brane as it moves in between known static bulk and cap solutions. Looking at the resulting Friedmann equation, we see that the brane cosmology at high energies is dominated by a five-dimensional rho2 energy density term. At low energies, we obtain a Friedmann equation with a term linear to the energy density with, however, negative coefficient in the small four-brane radius limit (i.e. with negative effective Newton's constant). We discuss ways out of this problem.

Citations