More Like this

1. Photometric mass estimation and the stellar mass–halo mass relation for low mass galaxies

   https://doi.org/10.1093/mnras/stac3610  

   Zaritsky, Dennis; Behroozi, Peter (December 2022, Monthly Notices of the Royal Astronomical Society)

   ABSTRACT We present a photometric halo mass estimation technique for local galaxies that enables us to establish the stellar mass–halo mass (SMHM) relation down to stellar masses of 105 M⊙. We find no detectable differences among the SMHM relations of four local galaxy clusters or between the cluster and field relations and we find agreement with extrapolations of previous SMHM relations derived using abundance matching approaches. We fit a power law to our empirical SMHM relation and find that for adopted NFW dark matter profiles and for M* < 109 M⊙, the halo mass is Mh = 1010.35 ± 0.02(M*/108 M⊙)0.63 ± 0.02. The normalization of this relation is susceptible to systematic modelling errors that depend on the adopted dark matter potential and the quoted uncertainties refer to the uncertainties in the median relation. For galaxies with M* < 109 M⊙ that satisfy our selection criteria, the scatter about the fit in Mh, including uncertainties arising from our methodology, is 0.3 dex. Finally, we place lower luminosity Local Group galaxies on the SMHM relationship using the same technique, extending it to M* ∼ 103 M⊙ and suggest that some of these galaxies show evidence for additional mass interior to the effective radius beyond that provided by the standard dark matter profile. If this mass is in the form of a central black hole, the black hole masses are in the range of intermediate mass black holes, 10(5.7 ± 0.6) M⊙, which corresponds to masses of a few percent of Mh, well above values extrapolated from the relationships describing more massive galaxies. 

   more » « less
2. A Determination of the Blowup Solutions to the Focusing NLS with Mass Equal to the Mass of the Soliton

   https://doi.org/10.1007/s40818-022-00142-5  

   Dodson, Benjamin (June 2023, Annals of PDE)
3. Sasakians and the geometry of a mass term

   https://doi.org/10.1142/S0129055X2140002X  

   Nair, V. P. (September 2021, Reviews in Mathematical Physics)

   A gauge-invariant mass term for nonabelian gauge fields in two dimensions can be expressed as the Wess–Zumino–Witten (WZW) action. Hard thermal loops in the gauge theory in four dimensions at finite temperatures generate a screening mass for some components of the gauge field. This can be expressed in terms of the WZW action using the bundle of complex structures (for Euclidean signature) or the bundle of lightcones over Minkowski space. We show that a dynamically generated mass term in three dimensions can be put within the same general framework using the bundle of Sasakian structures. 

   more » « less
4. A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton

   https://doi.org/10.2140/apde.2024.17.1693  

   Dodson, Benjamin (January 2024, Analysis & PDE)
5. A quasi-local mass

   Alaee, Aghil; Khuri, Marcus; Yau, Shing-Tung (April 2024, Communications in mathematical physics)

   We define a new gauge independent quasi-local mass and energy, and show its relation to the Brown–York Hamilton–Jacobi analysis. A quasi-local proof of the positivity, based on spacetime harmonic functions, is given for admissible closed spacelike 2-surfaces which enclose an initial data set satisfying the dominant energy condition. Like the Wang-Yau mass, the new definition relies on isometric embeddings into Minkowski space, although our notion of admissibility is different from that of Wang and Yau. Rigidity is also established, in that vanishing energy implies that the 2-surface arises from an embedding into Minkowski space, and conversely the mass vanishes for any such surface. Furthermore, we show convergence to the ADM mass at spatial infinity, and provide the equation associated with optimal isometric embedding. 

   more » « less