The warping of extra spaces accelerates the expansion of the universe

TL;DR

This paper explores how warped extra dimensions in higher-dimensional theories can induce a cosmological constant in our 4D universe, potentially explaining the observed acceleration of cosmic expansion.

Contribution

It demonstrates that warping of extra spaces can generate a cosmological constant-like term, linking higher-dimensional geometry to 4D cosmic acceleration.

Findings

Warped extra dimensions induce a 4D cosmological term.

The cosmological term depends on extra dimension scales and warping.

This mechanism offers a fundamental explanation for universe acceleration.

Abstract

Generic cosmological models derived from higher dimensional theories with warped extra dimensions have a nonzero cosmological constant-like term induced on the 3+1 space-time, or a physical 3-brane. In the scenario where this 3+1 space-time is an inflating de Sitter "brane" embedded in a higher-dimensional space-time, described by warped geometry, the 4D cosmological term is determined in terms of two length scales: one is a scale associated with the size of extra dimension(s) and the other is a scale associated with the warping of extra space(s). The existence of this term in four dimensions provides a tantalizing possibility of explaining the observed accelerating expansion of the universe from fundamental theories of gravity, e.g. string theory.