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We characterize the peculiar velocity field of the local large-scalestructure reconstructed from the $2M++$ survey, by treating it as a fluid,extracting the divergence via different approximations over a range pf averagedscales. This reconstructed field is important for cosmology, since it was usedto correct the peculiar redshifts of the last SNIA compilation Pantheon+. Theresults have intriguing implications for the LLSS fluid dynamics andparticularly for the ``Tilted Cosmology'' model, although those results have tobe taken carefully as the velocity field could contain significant bias due tothe reconstruction procedure. Those possible bias and its influence in ourresults are discussed. Representative values of the apparent decelerationparameter ($\Tilde{q}$) are computed, in order to compare our results with thetheoretical predictions of the tilted-universe scenario. We conclude thatbetter velocity field reconstructions are necessary in order to constrain theparameters implied in LLSS research and alternative cosmologies.

Approximations for the divergence of the local large-scale structure velocity field and its implications for Tilted Cosmology