A Universal fundamental plane and the $M_{dyn}-M_{\star }$ relation for galaxies with CALIFA and MaNGA

Abstract

We use the stellar kinematics for $2458$ galaxies from the MaNGA survey to explore dynamical scaling relations between the stellar mass $M_{\star }$ and the total velocity parameter at the effective radius, $R_e$, defined as $S_K^2=K{V}_{R_e}^2+{\sigma }_{{\star }_e}^2$, which combines rotation velocity $V_{R_e}$, and velocity dispersion ${\sigma }_{{\star }_e}$. We confirm that spheroidal and spiral galaxies follow the same $M_{\star }-S_{0.5}$ scaling relation with lower scatter than the $M_{\star }-V_{R_e}$ and $M_{\star }-{\sigma }_{{\star }_e}$ ones. We also explore a more general Universal Fundamental Plane described by the equation $log({{\rm Y}}_e)=log(S_{0.5}^2)-log(I_e)-log(R_e)+C$, which in addition to kinematics, $S_{0.5}$, and effective radius, $R_e$, it includes surface brightness, $I_e$, and dynamical mass-to-light ratio, ${{\rm Y}}_e$. We use sophisticated Schwarzschild dynamical models for a sub-sample of 300 galaxies from the CALIFA survey to calibrate the so called Universal Fundamental Plane. That calibration allows us to propose both: (i) a parametrization to estimate the difficult-to-measure dynamical mass-to-light ratio at the effective radius; and (ii) a new dynamical mass proxy consistent with dynamical models within $0.09dex$. We reproduce the relation between the dynamical mass and the stellar mass in the inner regions of galaxies. We use the estimated dynamical mass-to-light ratio from our analysis, ${{\rm Y}}_e^{fit}$, to explore the Universal Fundamental Plane with the MaNGA data set. We find that all classes of galaxies, from spheroids to disks, follow this Universal Fundamental Plane with a scatter significantly smaller $(0.05dex)$ than the one reported for the $M_{\star }-S_{0.5}$ relation $(0.1dex)$, the Fundamental Plane $(\sim 0.09dex)$ and comparable with Tully-Fisher studies $(\sim 0.05dex)$, but for a wider range of galaxy types.

Submitted to ApJ. 21 pages, 12 figures

References in corpus (1)

• Deep Surface Brightness Profiles of Spiral Galaxies from SDSS Stripe82: Touching Stellar Halos

Cited by in corpus (1)

• Tracing Dark Matter Halos with Satellite Kinematics and the Central Stellar Velocity Dispersion of Galaxies