Intrinsic energy of Lemaître-Tolman-Bondi models and cosmological implications

Abstract

Recently, some Lema{\^ı}tre-Tolman-Bondi metrics have been considered as models alternative to the dark energy within the Friedmann-Lema{\^ı}tre-Robertson-Walker universes. The vanishing of the intrinsic energy of these metrics is examined since such a vanishing, in the present case and in general, could be interpreted as a necessary condition to consider the possibility of the quantum creation of a metric. More specifically, this vanishing is examined in the particular case where the Lema{\^ı}tre-Tolman-Bondi metrics behave asymptotically like a Friedmann-Lema{\^ı}tre-Robertson-Walker universe. Finally, we deal with a particular model ruled out after being confronted with cosmic observations. In a minimal agreement with this negative result, leaving aside an unstable case, the value of the intrinsic energy of this particular model does not vanish and becomes in fact minus infinite.

18 pages; no figures; corrected and enlarged version

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Cited by in corpus (4)

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• Cosmic censorship conjecture in some matching spherical collapsing metrics
• 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