The Role of Gravitational Energy Flux in Cosmic Acceleration

TL;DR

This paper explores how gravitational radiation energy flux, within the teleparallel gravity framework, may influence the universe's accelerated expansion, emphasizing the cumulative and non-positive definite nature of gravitational energy.

Contribution

It provides a theoretical analysis of gravitational energy flux's potential role in cosmic acceleration using the Bondi--Sachs framework in teleparallel gravity.

Findings

Gravitational energy flux is analyzed in asymptotic regions of radiative space-times.

Gravitational energy in this context is not positively definite.

The study offers a theoretical basis for gravitational radiation's impact on cosmology.

Abstract

The article deals with the role of gravitational radiation energy in the large-scale dynamics of the universe. Motivated by the observed accelerated expansion, we investigate whether gravitational energy, treated as a well-defined physical quantity within the teleparallel equivalent of general relativity, contributes to cosmological acceleration through its associated energy flux. Using radiative space-times described by the Bondi--Sachs framework, we analyze the total gravitational energy and the corresponding energy flux evaluated in asymptotic regions. Particular emphasis is placed on the cumulative character of gravitational radiation over long time scales and on the fact that gravitational energy in this formulation is not positively definite. The present analysis provides a consistent theoretical basis for assessing the relevance of gravitational radiation energy and its flux in cosmological contexts.