Equilibrium Figures inside the Dark-Matter Ring and the Shapes of Elliptical Galaxies

Baltic astronomy

article

B. P. Kondratyev¹  N. G. Trubitsyna³  E. N. Kireeva¹ 

[1] Sternberg Astronomical Institute, M. V. Lomonosov Moscow State University;The Central Astronomical Observatory of the Russian Academy of Sciences at Pulkovo;Udmurt State University

关键词: celestial mechanics;    equilibrium figures;    galaxies elliptical;    dark matter;   

DOI  :  10.1515/astro-2017-0243

来源: Institute of Theoretical Physics and Astronomy

【 摘 要 】

We solve the general problem of the theory of equilibrium figures and analyze two classes of liquid rotating gravitating figures residing inside a gravitating ring or torus. These figures form families of sequences of generalized oblate spheroids and triaxial ellipsoids, which at the lower limit of the tidal parameter α = 0 have the form of the Maclaurin spheroids and the Jacobi ellipsoids. In intermediate cases 0 < α ≤ α max each new sequence of axisymmetric equilibrium figures has two non-rotating boundary spheroids. At the upper limit α max /( πGρ ) = 0.1867 the sequence degenerates into a single non-rotating spheroid with the eccentricity e cr ≈ 0.96 corresponding to the flattening limit of elliptical galaxies (E7). We also perform a detailed study of the sequences of generalized triaxial ellipsoids and find bifurcation points of triaxial ellipsoids in the sequences of generalized spheroids. We use this method to explain the shapes of E-galaxies. According to observations, very slowly rotating oblate E-type galaxies are known that have the shapes, which, because of instability, cannot be supported by velocity dispersion anisotropy exclusively. The hypothesis of a massive dark-matter outer ring requires no extreme anisotropy of pressure; it not only explains the shape of these elliptical galaxies, but also sheds new light on the riddle of the ellipticity limit (E7) of elliptical galaxies.

【 授权许可】

Unknown