On Generalized Lemaitre-Tolman-Bondi Metric. Fractal Matter at the end of Matter-Antimatter Recombination

TL;DR

This paper extends the Lemaitre-Tolman-Bondi metric to early cosmological times, explaining fractal matter distribution as remnants of matter-antimatter recombination and proposing a dynamic generalization of the metric.

Contribution

It introduces a dynamic extension of the LTB metric to model fractal matter distribution originating from matter-antimatter recombination.

Findings

Fractal matter distribution can be explained as remnants after recombination.

A particular solution for the generalized LTB metric is proposed.

The model accounts for inhomogeneities affecting cosmological observations.

Abstract

Many recent researches have investigated the deviations from the Friedmannian cosmological model, as well as their consequences on unexplained cosmological phenomena, such as dark matter and the acceleration of the Universe. On the one hand, a first order perturbative study of matter inhomogeneity returned a partial explanation of dark matter and dark energy, as relativistic effects due to the retarded potentials of far objects. On the other hand, the fractal cosmology, now modeled with a Lemaitre-Tolman-Bondi (LTB) metric, results in distortions of the luminosity distances of SNe Ia, explaining the acceleration as apparent. In this work we extend the LTB metric to ancient times. The origin of the fractal distribution of matter is explained as the matter remnant after the matter-antimatter recombination epoch. We show that the evolution of such a inhomogeneity necessarily requires a dynamical generalization of LTB, and we propose a particular solution.