Abstract

The relation between early type galaxy size, surface brightness and velocity dispersion, "the fundamental plane", has long been understood as resulting from equilibrium in their largely pressure supported stellar dynamics. The dissipation and feedback involved in reaching such an equilibrium through merger formation of these galaxies over cosmic time can be responsible for the orientation of the plane. We see a correlation between surface brightness enhancement and youth in the 6dF Galaxy Survey. Correlations of this `tilt' with stellar mass, age, concentration, shape and metallicity now point the direction for further work on the resolved kinematics and structure of these nearby galaxies and on their initial mass function and dark matter component. On the face of it, the Tully Fisher relation is a simpler one dimensional scaling relation. However, as late type galaxies have bulges as well as disks, and, as the surface density of disks is only standard for the more massive galaxies, additional parameters are involved.

Highlights

  • The fundamental plane (FP) of early type galaxies is fairly aptly named, because in the 3-space of velocity dispersion (σ ), surface brightness and effective radius is expressed the dynamical equilibrium that a galaxy has reached, but not how it got there

  • 4A particular choice of f(σ ) and g, for example, yields the Faber and Jackson (1976) power law relation. 5http://www.icg.port.ac.uk/maraston/Claudia%27s_Stellar_Population_Model. html. Based on these mass-to-light ratios, Figure 2 is the deviation from the virial plane as a function of stellar mass

  • The difficulty of measuring their velocity dispersions means that few have been placed in the FP

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Summary

INTRODUCTION

The fundamental plane (FP) of early type galaxies is fairly aptly named, because in the 3-space of velocity dispersion (σ ), surface brightness and effective radius is expressed the dynamical equilibrium that a galaxy has reached, but not (the interesting part) how it got there. It has long been understood that the virial theorem will place quiescent galaxies with a well-defined mass to light ratio in a plane in this space. The observed tilt of the plane differs from the expectation, and the deviation can be patched using the halo occupation distribution formalism (e.g., Moster et al, 2010; Mould, 2014, 2017). That formalism is not physics: it is a mapping between the dark matter universe and the observed one. The reason for the copout, is the difficulty of modeling baryonic processes, such as star formation with their challenging demands for spatial resolution

BUILDING THE FP
Bulges and Nuclei
STELLAR MASS
Galaxy Structure
Halo Mass
STAR FORMATION HISTORY AND CHEMICAL ENRICHMENT
THE TULLY FISHER RELATION
Eagle Simulations of the TF Relation
PROMISING PATHWAYS
DATA AVAILABILITY STATEMENT
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