1/R multidimensional gravity with form-fields: stabilization of extra dimensions, cosmic acceleration and domain walls

TL;DR

This paper investigates multidimensional gravity models with 1/R curvature and form-fields, demonstrating stabilization of extra dimensions, potential for late-time cosmic acceleration, and the existence of non-inflating domain walls.

Contribution

It introduces a model combining 1/R gravity and form-fields that achieves stabilization of extra dimensions and explains cosmic acceleration without inflation of domain walls.

Findings

Stable internal space near a positive potential minimum.

Model can produce late-time acceleration with fine-tuning.

Existence of non-inflating domain walls.

Abstract

We study multidimensional gravitational models with scalar curvature nonlinearity of the type 1/R and with form-fields (fluxes) as a matter source. It is assumed that the higher dimensional space-time undergoes Freund-Rubin-like spontaneous compactification to a warped product manifold. It is shown that for certain parameter regions the model allows for a freezing stabilization of the internal space near the positive minimum of the effective potential which plays the role of the positive cosmological constant. This cosmological constant provides the observable late-time accelerating expansion of the Universe if parameters of the model is fine tuned. Additionally, the effective potential has the saddle point. It results in domain walls in the Universe. We show that these domain walls do not undergo inflation.