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Intrinsic vanishing of energy and momenta in a universe

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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 3-momenta intrinsically 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-Lemaître-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.

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Authors and Affiliations

  1. Departament d’Astronomia i Astrofísica, Universitat de València, 46100, Burjassot, València, Spain

    Ramon Lapiedra & Juan Antonio Morales-Lladosa

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  1. Ramon Lapiedra
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  2. Juan Antonio Morales-Lladosa
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Correspondence to Juan Antonio Morales-Lladosa.

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Lapiedra, R., Morales-Lladosa, J.A. Intrinsic vanishing of energy and momenta in a universe. Gen Relativ Gravit 44, 367–389 (2012). https://doi.org/10.1007/s10714-011-1283-6

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  • DOI: https://doi.org/10.1007/s10714-011-1283-6

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