Intrinsic vanishing of energy and momenta in a universe

Abstract

We present a new approach to the question of properly defining energy and momenta for non asymptotically Minkowskian spaces in general relativity, in the case where these energy and momenta are conserved. In order to do this, we first prove that there always exist some special Gauss coordinates for which the conserved linear and angular three-momenta vanish. This allows us to consider the case of creatable universes (the universes whose proper 4-momenta vanish) in a consistent way, which is the main interest of the paper. When applied to the Friedmann-Lema{\^ı}tre-Robertson-Walker case, perturbed or not, our formalism leads to previous results, according to most literature on the subject. Some future work that should be done is mentioned.

Enlarged and modified version, where several comments have been added (20 pages), of the previous manuscript: "Creatable universes: a new, and more consistent and general approach". In particular, changes involve a new title and updated references. Accepted in General Relativity and Gravitation

References in corpus (5)

• On the energy of homogeneous cosmologies
• Quasi-local energy for cosmological models
• Creatable Universes
• Probing the creatable character of perturbed Friedmann-Robertson-Walker universes
• Einstein energy associated with the Friedmann -Robertson -Walker metric

Cited by in corpus (6)

• On the uniqueness of the space-time energy in General Relativity. The illuminating case of the Schwarzschild metric
• Intrinsic energy of Lemaître-Tolman-Bondi models and cosmological implications
• Mass in cosmological perspective
• Stability of the intrinsic energy vanishing in the Schwarzschild metric under a slow rotation
• Spherical symmetric parabolic dust collapse: ${\mathcal{C}}^1$ matching metric with zero intrinsic energy
• Geodesic family of spherical instantons and cosmic quantum creation