The Fundamental Plane in the hierarchical context

Abstract

Context. The Fundamental Plane (FP) relation and the distribution of early-type galaxies (ETGs) in the FP projections, cannot be easily explained in the hierarchical framework, where galaxies grow up by merging and star formation episodes. Aims. We want to show here that both the FP and its projections arise naturally from the combination of the Virial Theorem (VT) and a new time-dependent relation, describing how luminosity and stellar velocity dispersion change during galaxy evolution. This relation has the form of the Faber-Jackson (FJ) relation but a different physical meaning: the new relation is $L=L_0^{\prime }(t){\sigma }^{\beta (t)}$, where its coefficients $L_0^{\prime }$ and $\beta$ are time-dependent and can vary considerably from object to object, at variance with those obtained from the fit of the $L-\sigma$ plane. Methods. We derive the equations of the FP and its projections as a function of $\beta$ and $L_0^{\prime }$, by combining the VT and the $L=L_0^{\prime }(t){\sigma }^{\beta (t)}$ law. Then, from their combination we derive the expression of the FP as a function of $\beta$ and the solutions for $\beta$ and $L_0^{\prime }$. Results. We demonstrate that the observed properties of ETGs in the FP and its projections can be understood in terms of variations of $\beta$ and $L_0^{\prime }$. These two parameters encrypt the history of galaxy evolution across the cosmic epochs and determine the future aspect of the FP and its projections. Using the solutions found for $\beta$ and $L_0^{\prime }$ for each galaxy at the present epoch, we derive the coefficients of the FP (and FJ relation) and show that, the values of the coefficients coming form the fit, obtained in the literature, originate from the average of the single FP coefficients derived for each galaxy. In addition, we show that the variations of beta naturally explain the curvature observed in the FP projections and the correct position of the Zone of Exclusion.

arXiv comment12 pages, 7 figures, 1 table

References in corpus (50)

• Properties of galaxies reproduced by a hydrodynamic simulation
• The SAURON project - IV. The mass-to-light ratio, the virial mass estimator and the fundamental plane of elliptical and lenticular galaxies
• Introducing the Illustris Project: the evolution of galaxy populations across cosmic time
• The Sloan Lens ACS Survey. X. Stellar, Dynamical, and Total Mass Correlations of Massive Early-type Galaxies
• The density and peculiar velocity fields of nearby galaxies
• The Fundamental Plane for cluster E and S0 galaxies
• The Illustris Simulation: Public Data Release
• Early-type galaxies in the SDSS. III. The Fundamental Plane
• The Fundamental Scaling Relations of Elliptical Galaxies
• The Fundamenal Plane in CL0024 at z=0.4: Implications for the Evolution of the Mass-to-Light Ratio
• Internal and Collective Properties of Galaxies in the Sloan Digital Sky Survey
• The Sloan Lens ACS Survey. VII. Elliptical Galaxy Scaling Laws from Direct Observational Mass Measurements
• WINGS: a WIde-field Nearby Galaxy-cluster Survey. I - Optical imaging
• The Tilt of the Fundamental Plane of Elliptical Galaxies: I. Dynamical and Structural Effects
• Galaxy merging, the Fundamental Plane of elliptical galaxies, and the Mbh-sigma relation
• Curvature in the scaling relations of early-type galaxies
• The Tilt of the Fundamental Plane: Three-quarters Structural Nonhomology, One-quarter Stellar Population
• WINGS-SPE Spectroscopy in the WIde-field Nearby Galaxy-cluster Survey
• Effect of environment on galaxies mass-size distribution: unveiling the transition from outside-in to inside-out evolution
• The Star Formation Epoch of the Most Massive Early-Type Galaxies
• Central mass-to-light ratios and dark matter fractions in early-type galaxies
• The Fundamental Plane of Ellipticals: I. The Dark Matter Connection
• The 6dF Galaxy Survey: The Near-Infrared Fundamental Plane of Early-Type Galaxies
• Dependence of the Fundamental Plane Scatter on Galaxy Age
• Dissipation and the Fundamental Plane: Observational Tests
• WINGS: A WIde-field Nearby Galaxy-cluster Survey. II. Deep optical photometry of 77 nearby clusters
• OmegaWINGS: OmegaCAM@VST observations of WINGS galaxy clusters
• Luminosity Dependence in the Fundamental Plane Projections of Elliptical Galaxies
• A spectrophotometric model applied to cluster galaxies: the WINGS dataset
• A More Fundamental Plane
• OmegaWINGS: spectroscopy in the outskirts of local clusters of galaxies
• Homogeneous Velocity-Distance Data for Peculiar Velocity Analysis. I. Calibration of Cluster Samples
• WINGS Data Release: a database of galaxies in nearby clusters
• The concentration-mass relation of clusters of galaxies from the OmegaWINGS survey
• The Fundamental Plane of Early Type Galaxies in Nearby Clusters from the WINGS Database
• SPIDER - III. Environmental Dependence of the Fundamental Plane of Early-type Galaxies
• WINGS: a WIde-field nearby Galaxy-cluster survey III. Deep near-infrared photometry of 28 nearby clusters
• M/L and Color Evolution for A Deep Sample of M* Cluster Galaxies at z~1: The Formation Epoch and the Tilt of the Fundamental Plane
• The fundamental plane of isolated early-type galaxies
• The Star Formation Histories of Red-Sequence Galaxies, Mass-to-Light Ratios and the Fundamental Plane
• The Fundamental Plane in the LEGA-C Survey: unraveling the $M/L$ variations of massive star-forming and quiescent galaxies at $z\sim 0.8$
• The Faber-Jackson relation for early-type galaxies: Dependence on the magnitude range
• Toward Understanding the origin of the Fundamental Plane for Early-Type Galaxies
• Surface photometry of WINGS galaxies with GASPHOT
• The relative distances to the Virgo, Fornax, and Coma clusters of galaxies through the Dn-sigma and the Fundamental Plane relations
• Mergers in Galaxy Groups. II. The Fundamental Plane of Elliptical Galaxies
• Redshift Evolution of the Fundamental Plane Relation in the IllustrisTNG Simulation
• A Steep Slope and Small Scatter for the High-Mass End of the L-$\sigma$ Relation at $z\sim 0.55$
• Characterization of Omega-WINGS galaxy clusters. I. Stellar light and mass profiles
• The parallelism between galaxy clusters and early-type galaxies: III. The Mass-Radius Relationship

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• The Kormendy relation of early-type galaxies as a function of wavelength in Abell S1063, MACS J0416.1-2403, and MACS J1149.5+2223
• The scaling relations of galaxies back in time: the road toward virialization
• A new framework for understanding the evolution of early-type galaxies