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# Cosmological Boundary Flux Parameter

Jun 2022

The {\it{Cosmological Boundary Flux Parameter}} is a novel proposal thatattempts to explain the origin of the cosmological parameter $\Lambda$ purelyby geometric nature. Then we implement this new approach to a flat FLRWuniverse, along with a barotropic fluid. We present an ansatz in which$\Lambda$ couples straightforwardly to the matter sector; therefore only oneextra parameter was introduced: $\lambda$. Also, through a statisticalanalysis, using late time data of Observational Hubble and type Ia Supernovae,we computed the best-fit value of the free parameters by means of theaffine-invariant MCMC. We want to emphasize that the Joint analysis produces asmaller $H_{0}=71.51\rm\,\, Km \,s^{-1}\,Mpc^{-1}$ in contrast to the$\Lambda$CDM result $H_{0}=72.15\rm\,\, Km \,s^{-1}\,Mpc^{-1}$. Indeed, thisoutcome approaches more to the CMB value $H_{0}^{\rm CMB}=67.70\rm\,\, Km\,s^{-1}\,Mpc^{-1}$ (Planck + BAO). Thus, this might suggest that our propoalmight be a good candidate to amend the $H_{0}$ tension. In spite of that, morestatistical analysis needs to be done to be certain about this. The work herepresented seeks to contribute to the discussion of the possible explanation forthe cosmos' acceleration, together with tackling other important questions inmodern cosmology.

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