Accelerating Universe from Extra Spatial Dimension

TL;DR

This paper proposes a higher-dimensional cosmological model where extra dimensions induce acceleration in the universe's expansion without needing scalar fields or a cosmological constant, aligning with observed acceleration.

Contribution

It introduces a simple higher-dimensional FRW model demonstrating acceleration driven by extra dimensions, including dimensional reduction and realistic matter properties, without extraneous fields.

Findings

Model exhibits both decelerating early universe and current acceleration.

Higher dimensional terms produce negative pressure driving acceleration.

Model asymptotically approaches a steady state universe.

Abstract

We present a simple higher dimensional FRW type of model where the acceleration is apparently caused by the presence of the extra dimensions. Assuming an ansatz in the form of the deceleration parameter we get a class of solutions some of which shows the desirable feature of dimensional reduction as well as reasonably good physical properties of matter. Interestingly we do not have to invoke an extraneous scalar field or a cosmological constant to account for this acceleration. One argues that the terms containing the higher dimensional metric coefficients produces an extra negative pressure that apparently drives the inflation of the 4D space with an accelerating phase. It is further found that in line with the physical requirements our model admits of a decelerating phase in the early era along with an accelerating phase at present.Further the models asymptotically mimic a steady state type of universe although it starts from a big type of singularity. Correspondence to Wesson's induced matter theory is also briefly discussed and in line with it it is argued that the terms containing the higher dimensional metric coefficients apparently creates a negative pressure which drives the inflation of the 3-space with an accelerating phase.