Intrinsic energy of Lema\^itre-Tolman-Bondi models and cosmological implications

TL;DR

This paper investigates the intrinsic energy of Lemaître-Tolman-Bondi models, exploring their potential as dark energy alternatives and implications for quantum creation, with findings that some models have non-vanishing or infinite intrinsic energy.

Contribution

It analyzes the intrinsic energy of Lemaître-Tolman-Bondi models, especially those asymptotically similar to FLRW universes, and assesses their viability as cosmological models.

Findings

Vanishing intrinsic energy may be linked to quantum creation viability.

A specific model incompatible with cosmic observations has non-zero, negative infinite intrinsic energy.

Some models' intrinsic energy does not vanish, challenging their use as dark energy alternatives.

Abstract

Recently, some Lema{\^{\i}}tre-Tolman-Bondi metrics have been considered as models alternative to the dark energy within the Friedmann-Lema{\^{\i}}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{\^{\i}}tre-Tolman-Bondi metrics behave asymptotically like a Friedmann-Lema{\^{\i}}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.