The energy of the universe in the Bianchi type-II cosmological model

TL;DR

This paper calculates the total energy of a Bianchi type-II universe using Einstein and Møller energy-momentum complexes, finding it to be zero, supporting the idea that the universe's net energy is zero.

Contribution

It applies two different energy-momentum complexes to the Bianchi type-II model, confirming the zero total energy result and reinforcing prior theoretical viewpoints.

Findings

Total energy in the Bianchi type-II universe is zero.

Results support the hypothesis of a universe with zero net energy.

Reinforces previous theoretical work on universe's energy properties.

Abstract

To investigate the energy of Bianchi type-II cosmological model, I used the energy-momentum complexes of Einstein and M{\o}ller and obtained the zero total energy in these two prescriptions. This result reinforces the viewpoint of Albrow and Tryon that the universe must have a zero net value for all conserved quantities and be equivalent to the previous works of Nester et al. and Aydogdu et al.