Redshift Evolution of the Fundamental Plane Relation in the IllustrisTNG Simulation

Abstract

We investigate the fundamental plane (FP) evolution of early-type galaxies in the IllustrisTNG-100 simulation (TNG100) from redshift $z=0$ to $z=2$. We find that a tight plane relation already exists as early as $z=2$. Its scatter stays as low as $\sim 0.08$ dex across this redshift range. Both slope parameters $b$ and $c$ (where $R\propto {\sigma }^b{I}^c$ with $R$, $\sigma$, and $I$ being the typical size, velocity dispersion, and surface brightness) of the plane evolve mildly since $z=2$, roughly consistent with observations. The FP residual $\mathrm{Res}$ ($\equiv a+b\log \sigma +c\log I-\log R$, where $a$ is the zero point of the FP) is found to strongly correlate with stellar age, indicating that stellar age can be used as a crucial fourth parameter of the FP. However, we find that $4c+b+2=\delta$, where $\delta \sim 0.8$ for FPs in TNG, rather than zero as is typically inferred from observations. This implies that a tight power-law relation between the dynamical mass-to-light ratio $M_{\mathrm{dyn}}/L$ and the dynamical mass $M_{\mathrm{dyn}}$ (where $M_{\mathrm{dyn}}\equiv 5{\sigma }^{2}R/G$, with $G$ being the gravitational constant) is not present in the TNG100 simulation. Recovering such a relation requires proper mixing between dark matter and baryons, as well as star formation occurring with correct efficiencies at the right mass scales. This represents a powerful constraint on the numerical models, which has to be satisfied in future hydrodynamical simulations.

arXiv comment10 pages, 7 figures, 1 table. Accepted for publication in MNRAS

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