A fractal LTB model cannot explain Dark Energy
arXiv:2212.04529 · doi:10.1007/s10714-023-03127-2
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.
We show that following 10.48550/ARXIV.2302.04679, the model proposed requires an inhomogeneous big bang , therefore not solving the problem of DE. Our model construct a fractal matter model that assumes a homogeneous big bang, not requiring any new physics. We added a different smooth mass function to compare with the sharp one, not changing our principal results
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