Tootfinder

This https://arxiv.org/abs/2406.06091 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Cosmological coupling of local gravitational systems
We investigate the cosmological coupling of spherical, local astrophysical systems. We derive a general formula quantifying the cosmological coupling of the Misner-Sharp mass of these objects. We show that, in the weak-field limit, the cosmological coupling is only allowed if there are pressure anisotropies. We also apply our results to galaxies, modelling them with the Navarro-Frenk-White and Einasto profiles. We show that the galactic mass can be coupled to the cosmological dynamics and exami…

Simulating Brown Dwarf Observations for Various Mass Functions, Birthrates, and Low-mass Cutoffs
Yadukrishna Raghu, J. Davy Kirkpatrick, Federico Marocco, Christopher R. Gelino, Daniella C. Bardalez Gagliuffi, Jacqueline K. Faherty, Steven D. Schurr, Adam C. Schneider, Aaron M. Meisner, Marc J. Kuchner, Hunter Brooks, Jake Grigorian, The Backyard Worlds, :, Planet 9 Collaboration

Simulating Brown Dwarf Observations for Various Mass Functions, Birthrates, and Low-mass Cutoffs
After decades of brown dwarf discovery and follow-up, we can now infer the functional form of the mass distribution within 20 parsecs, which serves as a constraint on star formation theory at the lowest masses. Unlike objects on the main sequence that have a clear luminosity-to-mass correlation, brown dwarfs lack a correlation between an observable parameter (luminosity, spectral type, or color) and mass. A measurement of the brown dwarf mass function must therefore be procured through proxy me…

This https://arxiv.org/abs/2401.13620 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quasi-generalised KPZ equation
We derive the renormalised equation for the quasi-generalised KPZ equation with space-time white noise. We complement the program initiated by Gerencsér and Hairer for solving quasi-linear equations using regularity structures by an algebraic machinery that gives a systematic tool to remove non-local counterterms and provide a precise expression of the renormalised equation that is consistent with the semilinear case. The solution theory satisfies the chain rule and a natural notion of Itô is…