A fractal LTB model cannot explain dark energy

• DOI: 10.1007/s10714-023-03127-2
• Publication Date: 2023-06-28T11:02:20Z
• Authors: Erick Pastén; Víctor H. Cárdenas
• Keywords: Quintessence

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.<br/>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<br/>