Inhomogeneous compact extra dimensions and de Sitter cosmology

Abstract

In the framework of multidimensional $f(R)$ gravity, we study the metrics of compact extra dimensions assuming that our 4D space has the de Sitter metric. Manifolds described by such metrics could be formed at the inflationary and even higher energy scales. It is shown that in the presence of a scalar field, varying in the extra factor space ${\mathbb{M}}_2$, it is possible to obtain a variety of inhomogeneous metrics in ${\mathbb{M}}_2$. Each of these metrics leads to a certain value of the 4D cosmological constant ${\Lambda }_4$, and in particular, it is possible to obtain ${\Lambda }_4=0$, as is confirmed by numerically obtained solutions. A nontrivial scalar field distribution in the extra dimensions is an important feature of this family of models.

15 pages, 9 figures

References in corpus (6)

• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• String Gas Cosmology and Structure Formation
• Brane world corrections to Newton's law
• Multidimensional cosmology and asymptotical AdS
• Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G
• Global strings in extra dimensions: a full map of solutions, matter trapping and the hierarchy problem

Cited by in corpus (6)

• Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
• Self-tuning inflation
• Dirac type relativistic quantum mechanics for massive photons
• Cosmological baryon/lepton asymmetry in terms of Kaluza-Klein extra dimensions
• Flexible extra dimensions
• Studies of the Inhomogeneous Cosmology in Higher Dimensional space-time with a Cosmological Constant