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arXiv · 2212.04529

A fractal LTB model cannot explain Dark Energy

Erick Pastén·Víctor H. Cárdenas
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Abstract

We revisited the problem of describing, on average, a fractal distribution of matter using a Lemaitre-Tolman-Bondi (LTB) solution. Here we study the fractal structure of our local universe having a fractal dimension and a scale transition, ensuring an homogeneous bang-time function. We test our model with the latest type Ia supernova data, the Pantheon compilation, and discuss problems and possible improvements for it, concluding that a fractal transition in LTB cosmology cannot be used to explain the effects of dark energy without requiring an inhomogeneous big-bang, but it can be useful to study structures at low scales.

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Erick Pastén, Víctor H. Cárdenas. 2022-12-08. A fractal LTB model cannot explain Dark Energy. https://doi.org/10.1007/s10714-023-03127-2

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