Creatable Universes
arXiv:0705.1049 · doi:10.1103/PhysRevD.75.124003
Abstract
We consider the question of properly defining energy and momenta for non asymptotic Minkowskian spaces in general relativity. Only spaces of this type, whose energy, linear 3-momentum, and intrinsic angular momentum vanish, would be candidates for creatable universes, that is, for universes which could have arisen from a vacuum quantum fluctuation. Given a universe, we completely characterize the family of coordinate systems for which one could sensibly say that this universe is a creatable universe.
19 pages; v2: we have added an Appendix to make explicit the proof of the quasi-uniqueness of the defined energy and momenta of the Universe, for every space-like 3-surface