Codimension two compactifications and the cosmological constant problem

2003/02/17 by Ignacio Martín-Navarro, Ignacio Navarro · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Codimension #Compactification (mathematics) #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Extra dimensions #Mathematical analysis #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1088/1475-7516/2003/09/004

published as JCAP 0309 (2003) 004 · 4 pages, rextex 4

arxiv created 2003/02/17 · openalex publication_date 2003/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider solutions of six-dimensional Einstein equations with two compact dimensions. It is shown that one can introduce 3-branes in this background in such a way that the effective four-dimensional cosmological constant is completely independent of the brane tensions. These tensions are completely arbitrary, without requiring any fine tuning. We must, however, fine tune bulk parameters in order to obtain a sufficiently small value for the observable cosmological constant. We comment on the effective four-dimensional description of this effect at energies below the compactification scale.

Citations

• Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• The Hierarchy Problem and New Dimensions at a Millimeter
• A small cosmological constant from a large extra dimension
• Gravity on a brane in infinite-volume extra space

Cited by

• The consistency of codimension-2 braneworlds and their cosmology
• Deformed compact extra space as dark matter candidate
• Supersymmetric codimension-two branes in six-dimensional gauged supergravity
• General Axisymmetric Solutions and Self-Tuning in 6D Chiral Gauged Supergravity
• A self-tuning mechanism in (3 + p)d gravity-scalar theory
• Induced cosmology on a regularized brane in six-dimensional flux compactification
• No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
• Neutrino masses, the cosmological constant, and a stable universe in a Randall-Sundrum scenario
• Bulk renormalization and particle spectrum in codimension-two brane worlds
• General perturbations for braneworld compactifications and the six dimensional case