Galactic Scaling Rules in a Modified Dynamical Model

Abstract

Schulz (2017) galactic scaling rules, which include baryonic Tully-Fisher relation, have been surveyed in this work within the context of a modified dynamical model. These scaling relations are derived by employing the virial theorem and applying equilibrium and stability conditions. The scaling rules are also obtained by dimensional analysis of an integral relation between surface density and circular velocity of disk galaxies. To check the validity of the scaling relations based on observational data, we have defined, based on the properties of the model, the proper equilibrium size $R_{eq}$ and equilibrium velocity $V_{eq}$ of systems. By employing these measures of length and velocity, SPARC data ( Lelli et al. 2016a ) is used to analyze the results. The viability of the scaling relations is tested and it is shown that, compared to some other measures of length and velocity, $R_{eq}$ and $V_{eq}$ provide the closest fits to the theoretical predictions. We have compared our results with prior works and have concluded that the set of baryonic Tully-Fisher relation plus mass-size relation ( or mass-velocity ) provides an appropriate description of the general characteristics of the systems. Lastly, it is shown that these scaling relations predict a certain evolution of galactic properties with redshift. This behavior provides a chance to examine the cosmic evolution of the present modified dynamical model in future works.

arXiv comment33 pages, 19 figures, 4 Tables, Contains supplementary figures ( Figs. 12 - 19 ), Published in New Astronomy

References in corpus (64)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• Dark Matter Substructure in Galactic Halos
• The slope of the black-hole mass versus velocity dispersion correlation
• The Formation of Galactic Disks
• 3D-HST+CANDELS: The Evolution of the Galaxy Size-Mass Distribution since $z=3$
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• The Baryonic Tully-Fisher Relation
• The Atlas3D project - XV. Benchmark for early-type galaxies scaling relations from 260 dynamical models: mass-to-light ratio, dark matter, Fundamental Plane and Mass Plane
• Linear Regression for Astronomical Data with Measurement Errors and Intrinsic Scatter
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• The SAURON project -- X. The orbital anisotropy of elliptical and lenticular galaxies: revisiting the (V/sigma,epsilon) diagram with integral-field stellar kinematics
• Structure and Kinematics of Early-Type Galaxies from Integral-Field Spectroscopy
• The Baryonic Tully-Fisher Relation of Galaxies with Extended Rotation Curves and the Stellar Mass of Rotating Galaxies
• Alternatives to Dark Matter and Dark Energy
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• The distribution of dark matter in galaxies
• The small scatter of the baryonic Tully-Fisher relation
• Angular momentum and galaxy formation revisited
• Determination of the Local Dark Matter Density in our Galaxy
• The Stellar Mass Tully-Fisher Relation to z=1.2 from AEGIS
• COSMOS-DASH: The Evolution of the Galaxy Size-Mass Relation Since z~3 from new Wide Field WFC3 Imaging Combined with CANDELS/3DHST
• The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
• The Modified Dynamics as a Vacuum Effect
• A Survey of Galaxy Kinematics to z ~ 1 in the TKRS/GOODS-N Field. I. Rotation and Dispersion Properties
• Cuspy Dark-Matter Haloes and the Galaxy
• Fitting galactic rotation curves with conformal gravity and a global quadratic potential
• Off the baryonic Tully-Fisher relation: a population of baryon-dominated ultra-diffuse galaxies
• The universal rotation curve of dwarf disk galaxies
• The number, luminosity, and mass density of spiral galaxies as a function of surface brightness
• Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies
• LITTLE THINGS in 3D: robust determination of the circular velocity of dwarf irregular galaxies
• Model for gravity at large distances
• The Evolution of Mass-size Relation for Lyman Break Galaxies From z=1 to z=7
• Robust HI kinematics of gas-rich ultra-diffuse galaxies: hints of a weak-feedback formation scenario
• The evolution of the Tully-Fisher relation between z~2.3 and z~0.9 with KMOS^3D
• The MOND limit from space-time scale invariance
• The SAMI Galaxy Survey: Towards a unified dynamical scaling relation for galaxies of all types
• The Balance of Dark and Luminous Mass in Rotating Galaxies
• Fitting dwarf galaxy rotation curves with conformal gravity
• The scatter, residual correlations and curvature of the SPARC baryonic Tully-Fisher relation
• The baryonic specific angular momentum of disc galaxies
• From lenticulars to blue compact dwarfs: the stellar mass fraction is regulated by disc gravitational instability
• From massive spirals to dwarf irregulars: a new set of tight scaling relations for cold gas and stars driven by disc gravitational instability
• Testing the Strong Equivalence Principle. II. Relating the External Field Effect in Galaxy Rotation Curves to the Large-Scale Structure of the Universe
• The universal rotation curve of low surface brightness galaxies IV: the interrelation between dark and luminous matter
• A tight angular-momentum plane for disc galaxies
• A Consistent Set of Empirical Scaling Relations for Spiral Galaxies: The $(v_{\max },M_{\mathrm{DM}})$-$({\sigma }_0,M_{\mathrm{BH}},\varphi )$ Relations
• Disk Galaxy Scaling Relations in the SFI++: Intrinsic Scatter and Applications
• Angular momentum and local gravitational instability in galaxy discs: does $Q$ correlate with $j$ or $M$?
• Galaxies Rotation Curves in the Grumiller's Modified Gravity
• Universal Properties of Galactic Rotation Curves and a First Principles Derivation of the Tully-Fisher Relation
• MIGHTEE-HI: the HI Size-Mass relation over the last billion years
• Pseudo-Evolution of Galaxies in LCDM Cosmology
• Virial Sequences for Thick Discs and Haloes: Flattening and Global Anisotropy
• Scaling Relations of Mass, Velocity and Radius for Disk Galaxies
• Motion of Particles in Solar and Galactic Systems by Using Neumann Boundary Condition
• A Modified Dynamical Model of Cosmology I. Theory
• Five-Dimrnsional Cosmological Theory of Unified Space, Time and Velocity
• Local Stability of Galactic Discs in Modified Dynamics
• Baryonic Tully-Fisher test of Grumiller's modified gravity model
• Derivation of the Tully-Fisher Law from General Relativity Theory: Doubts about the Existence of Halo Dark Matter
• Three-Body Problem in Modified Dynamics