Bel-Robinson tensor and dominant energy property in the Bianchi type I Universe

TL;DR

This paper examines the Bel-Robinson tensor in Bianchi type-I universes, comparing various definitions and analyzing the dominant super-energy property as a generalization of the energy condition.

Contribution

It compares different definitions of the Bel-Robinson tensor and investigates the dominant super-energy property in Bianchi type-I cosmology.

Findings

Different definitions of the Bel-Robinson tensor yield consistent results.

The dominant super-energy property holds under certain conditions.

Insights into the role of super-energy tensors in cosmological evolution.

Abstract

Within the framework of Bianchi type-I space-time we study the Bel-Robinson tensor and its impact on the evolution of the Universe. We use different definitions of the Bel-Robinson tensor existing in the literature and compare the results. Finally we investigate the so called "dominant super-energy property" for the Bel-Robinson tensor as a generalization of the usual dominant energy condition for energy momentum tensors. Keywords: Bianchi type I model, super-energy tensors Pacs: 03.65.Pm and 04.20.Ha