Bayesian analysis for rotational curves with $\ell$-boson stars as a dark matter component [CEA]

http://arxiv.org/abs/2305.01127


Using Low Brightness Surface Galaxies (LBSG) rotational curves we inferred the free parameters of $\ell$-boson stars as a dark matter component. The $\ell$-boson stars are numerical solutions to the non-relativistic limit of the Einstein-Klein-Gordon system, the Schr\”odinger-Poisson (SP) system. These solutions are parametrized by an angular momentum number $\ell = (N-1)/2$ and an excitation number $n$. We perform a bayesian analysis by modifying the SimpleMC code to perform the parameter inference, for the cases with $\ell = 0$, $\ell = 1$ and multistates of $\ell$-boson stars. We used the Akaike information criterion (AIC), Bayesian information criterion and the Bayes factor to compare the excited state ($\ell$=1) and the multistate case with the ground state ($\ell$=0) as the base model due to its simplicity. We found that the data in most galaxies in the sample favours the multistates case and that the scalar field mass tends to be slightly bigger than the ground state case.

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A. Navarro-Boullosa, A. Bernal and J. Vazquez
Wed, 3 May 23
22/67

Comments: 14 pages, 9 Figures