Analytical Models For Galactic Nuclei

Abstract

I present a general family of dynamical models with simple analytical potential-density pairs suited to model galactic bulges and nuclei with double power-law radial density profiles and an optional central black hole. Analytical expressions for the potential and velocity dispersion of these models are given in the spherical case. Many previously known analytical spherical models, including also the recent $\gamma /\eta$-models by Dehnen (1993) and Tremaine et al. (1994), are special cases of this family. This family also forms a complete set for constructing general galaxy models or solving Poisson's equation in the non-spherical case. In particular, a generalized Clutton-Brock (1973) and Hernquist-Ostriker (1992) orthogonal basis set is given.

MNRAS in press. errors in Eqn 12-13 corrected; 17 pages with 1 table in an uuencoded compressed PS file. Also available at ftp://ibm-1.mpa-garching.mpg.de/pub/hsz/analy_nuc_mod.uu Hardcopies are also available by request

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• Constraining Dark Energy From Splitting Angle Statistic of Strong Gravitational Lenses
• The hydrostatic-to-lensing mass bias from resolved X-ray and optical-IR data
• What can Gaia (with TMT) say about Sculptor's Core?
• The diffuse Galactic gamma-rays from dark matter annihilation
• The Structure of Cold Dark Matter Halos: Recent Insights from High Resolution Simulations
• Dissipative phenomena in extended-bodies interactions I: Methods Dwarf galaxies of the Local Group and their synthetic CMDs
• Investigating the Dark Matter Halo of NGC 5128 using a Discrete Dynamical Model
• Fading Features Found in the Kinematics of the Far-Reaching Milky Way Stellar Halo
• On Mechanics and Thermodynamics of a stellar galaxy in a two-component virial system and the Fundamental Plane
• Diffuse $\gamma$-rays and $\bar{p}$ flux from dark matter annihilation -- a model for consistent results with EGRET and cosmic ray data
• NIHAO XXVIII: Collateral effects of AGN on dark matter concentration and stellar kinematics
• A Pristine-UNIONS view on the Galaxy: Kinematics of the distant spur feature of the Sagittarius stream traced by Blue Horizontal Branch stars
• Challenges in modeling the dark matter halo of NGC 1052-DF2: Cored versus cuspy halo models
• Towards a Model-Independent Measurement of the Halo Mass Function with Observables
• Cosmological simulations of the same spiral galaxy: connecting the dark matter distribution of the host halo with the subgrid baryonic physics
• Mass Modeling and Kinematics of Galaxy Clusters in Modified Gravity
• SHARP -- IX. The dense, low-mass perturbers in B1938+666 and J0946+1006: implications for cold and self-interacting dark matter
• Leo I: the classical dwarf spheroidal galaxy with the highest dark-matter density
• Clausius' Virial vs. Total Potential Energy in the dynamics of a two-component system
• Exact potential-density pairs for flattened dark haloes
• What Could be the Observational Signature of Dark Matter in Globular Clusters?
• GravSphere2: A higher-order Jeans method for mass-modeling spherical stellar systems
• Issues in the Investigations of the Dark Matter Phenomenon in Galaxies: Parcere Personis, Dicere de Vitiis
• Detecting Extragalactic Axion-like Dark Matter with Polarization Measurements of Fast Radio Bursts
• Flattening of dark matter cusps during mergers: model of M31
• Dark Matter Halos: The Dynamical Basis of Effective Empirical Models
• Central densities of dark matter halos in FIRE-2 simulations of low-mass galaxies with cold dark matter and self-interacting dark matter
• Order and chaos in a three dimensional galaxy model
• A test of invariance of dark matter halo surface density using multiwavelength mock galaxy catalogues
• Combined dark matter search towards dwarf spheroidal galaxies with Fermi-LAT, HAWC, H.E.S.S., MAGIC, and VERITAS
• Outer and inner mass distributions of the irregular galaxies UGC 4284 and UGC 11861: Constraining the baryonic content through stellar population synthesis studies
• Search for Dark Matter Annihilation to gamma-rays from SPT-SZ selected Galaxy Clusters
• A general basis set algorithm for galactic haloes and discs
• A Universal Analytic Model for Gravitational Lensing by Self-Interacting Dark Matter Halos
• Testing non-local gravity through Ultra-Diffuse Galaxies kinematics
• Dark Matter reconstruction from stellar orbits in the Galactic Centre
• Structural and dynamical modeling of WINGS clusters. III. The pseudo phase-space density profile
• On the tilt of Fundamental Plane by Clausius' virial maximum theory
• Statistics for dark matter subhalo searches in gamma rays from a kinematically constrained population model: Fermi-LAT-like telescopes
• Orbit classification in a disk galaxy model with a pseudo-Newtonian central black hole
• Strong Lensing Probabilities in a Cosmological Model with a Running Primordial Power Spectrum
• Analytical galactic models with mild stellar cusps
• Recovering the pattern speeds of edge-on barred galaxies via an orbit-superposition method
• Semi analytical description of formation of galaxies and clusters of galaxies
• Fundamental properties of the dark and the luminous matter from Low Surface Brightness discs
• The Possible Equation Of State Of Dark Matter in Low Surface Brightness Galaxies
• Self-consistent dynamical models with a finite extent -- II. Radially truncated models
• Constraining galaxy properties with complete samples of lenses
• Moderate Galaxy-Galaxy Lensing
• Deciphering Baryonic Feedback from ACT tSZ Galaxy Clusters
• Quantifying Departures from Equilibrium with the Spherical Jeans Equation
• Disentangling the Halo: Joint Model for Measurements of the Kinetic Sunyaev-Zeldovich Effect and Galaxy-Galaxy Lensing
• Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb-Ramond models
• Galaxy cluster mass bias from projected mass maps: The Three Hundred-NIKA2 LPSZ twin samples
• Dark matter constraints from an observation of dSphs and the LMC with the Baikal NT200
• From particles to orbits: precise dark matter density profiles using dynamical information
• N-body self-consistent stars-halo modeling of the Fornax dwarf galaxy
• The radial acceleration relation at the EDGE of galaxy formation: testing its universality in low-mass dwarf galaxies
• Novel constraints on fermionic dark matter from galactic observables II: galaxy scaling relations
• The Circumgalactic Medium from the CAMELS Simulations: Forecasting Constraints on Feedback Processes from Future Sunyaev-Zeldovich Observations
• A simple analytical model for dark matter halo structure and adiabatic contraction
• Ringing Regularity: Gravitational Perturbations and Quasinormal Modes of Einasto-Supported Black Holes
• Analytical insight into dark matter subhalo boost factors for Sommerfeld-enhanced $s$- and $p$-wave $\gamma$-ray signals
• New insights on low-mass dark matter subhalo tidal tracks via numerical simulations
• DELVE Milky Way Satellite Galaxy Census I: Satellite Population and Survey Selection Function in DES, DELVE, and Pan-STARRS
• Dark Matter and Fundamental Physics Searches with IACTs
• Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
• The influence of modified gravitational fields on motions of Keplerian objects at the far-edge of the Solar System
• Prospects for annihilating dark matter from M31 and M33 observations with the Cherenkov Telescope Array
• Study of Various Dark Matter Halo Profiles in Milky Way and M31 Galaxies within the Standard Cosmology Framework
• Testing the predictions of axisymmetric distribution functions of galactic dark matter with hydrodynamical simulations
• Morphology of dark matter haloes beyond triaxiality
• Cusped Mass Density Profiles and Magnification Ratios of Double Image Gravitational Lenses
• Effect of dark matter halo substructures on galaxy rotation curves
• Milky Way Mass Through Escape Velocity Curve from LAMOST K Giants
• Chemodynamics of BoötesI with $S^5$: Revised Velocity Gradient, Dark Matter Density, and Galactic Chemical Evolution Constraints
• A test of invariance of halo surface density for FIRE-2 simulations with cold dark matter and self-interacting dark matter
• Orbit-based structural decomposition and stellar population recovery for edge-on barred galaxies
• KRIOS: A new basis-expansion $N$-body code for collisional stellar dynamics
• A new model for spherical galaxies and its distribution functions
• Kinematics of the Sagittarius Dwarf Spheroidal core: A 5D Analysis for a 6D Methodology with Gaia DR3
• Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System
• On radial anisotropy limits in stellar systems
• Probabilistic Inference of the Structure and Orbit of Milky Way Satellites with Semi-Analytic Modeling
• Limits on Dark Matter Annihilation from the Shape of Radio Emission in M31
• Studying Dynamical Models of the Core Galaxy NGC 1399 with Merging Remnants
• An analytical model of surface mass densities of cold dark matter haloes - with an application to MACHO microlensing optical depths
• Energy evolution in the progenitor of galaxy shells: a semi-analytical model
• Spin-one dark matter and gamma ray signals from the galactic center
• Holes within galaxies: the egg or the hen?
• The effects of a non-zero cosmological constant on the Veltmann models
• Forming off-center massive black hole binaries in dwarf galaxies through Jacobi capture
• Stirring N-body systems II: Necessary conditions for the dark matter attractor
• Basis sets and Coulomb resolutions in rotational coordinates
• A comprehensive analysis using 9 dark matter halo models on the spiral galaxy NGC 4321
• On the detection of stellar wakes in the Milky Way: a deep learning approach
• The role of dark matter in the galaxy mass-size relationship
• Universal Basic Mass Density inside Dark Matter Halos
• Self-consistent dynamical models with a finite extent -- I. The uniform density sphere
• The potential of diffuse Galactic Ridge neutrino measurements to constrain dark matter
• The orbital dynamics of the LMC and SMC about the Milky Way
• Determination of the best dark matter profile for the Milky Way with Gaia DR3 using Bayesian Model Comparison
• DHOST gravity in Ultra-diffuse galaxies -- Part I: the case of NGC1052-DF2
• A Mass Dependent Density Profile from Dwarfs to Clusters