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- W3100646759 abstract "The modified Newtonian dynamics (MOND), suggested by Milgrom as an alternative to dark matter, implies that isothermal spheres with a fixed anisotropy parameter should exhibit a near-perfect relation between the mass and velocity dispersion of the form M∝σ4. This is consistent with the observed Faber-Jackson relation for elliptical galaxies: a luminosity-velocity dispersion relation with large scatter. However, the observable global properties of elliptical galaxies comprise a three-parameter family; they lie on a ‘fundamental plane’ in a logarithmic space consisting of central velocity dispersion, effective radius (re) and luminosity. The scatter perpendicular to this plane is significantly less than that about the Faber-Jackson relation. I show here that, in order to match the observed properties of elliptical galaxies with MOND, models must deviate from being strictly isothermal and isotropic; such objects can be approximated by high-order polytropic spheres with a radial orbit anisotropy in the outer regions. MOND imposes boundary conditions on the inner Newtonian regions which restrict these models to a dynamical fundamental plane of the form where the exponents may differ from the Newtonian expectations (α=2, γ=1). Scatter about this plane is relatively insensitive to the necessary deviations from homology." @default.
- W3100646759 created "2020-11-23" @default.
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- W3100646759 date "2000-04-01" @default.
- W3100646759 modified "2023-10-16" @default.
- W3100646759 title "The fundamental plane of elliptical galaxies with modified Newtonian dynamics" @default.
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- W3100646759 doi "https://doi.org/10.1046/j.1365-8711.2000.03272.x" @default.
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