The vacuum energy density in the teleparallel equivalent of general relativity

TL;DR

This paper explores the vacuum energy density in the teleparallel equivalent of general relativity, revealing it can reach arbitrarily high values, which may shed light on the cosmological constant problem.

Contribution

It demonstrates that in teleparallel gravity, vacuum energy density can be unbounded, offering a potential explanation for the cosmological constant problem.

Findings

Vacuum energy density can be arbitrarily high in teleparallel gravity.

The results may explain the smallness of the observed cosmological constant.

Implications for realistic cosmological models are discussed.

Abstract

Considering the vacuum as characterized by the presence of only the gravitational field, we show that the vacuum energy density of the de Sitter space, in the realm of the teleparallel equivalent of general relativity, can acquire arbitrarily high values. This feature is expected to hold in the consideration of realistic cosmological models, and may possibly provide a simple explanation to the cosmological constant problem.