The MOND Fundamental Plane

Abstract

Modified Newtonian Dynamics (MOND) has been shown to be able to fit spiral galaxy rotation curves as well as giving a theoretical foundation for empirically determined scaling relations, such as the Tully - Fisher law, without the need for a dark matter halo. As a complementary analysis, one should investigate whether MOND can also reproduce the dynamics of early - type galaxies (ETGs) without dark matter. As a first step, we here show that MOND can indeed fit the observed central velocity dispersion ${\sigma }_0$ of a large sample of ETGs assuming a simple MOND interpolating functions and constant anisotropy. We also show that, under some assumptions on the luminosity dependence of the Sersic n parameter and the stellar M/L ratio, MOND predicts a fundamental plane for ETGs : a log - linear relation among the effective radius $R_{eff}$, ${\sigma }_0$ and the mean effective intensity $⟨I_e⟩$. However, we predict a tilt between the observed and the MOND fundamental planes.

16 pages, 2 figures, 2 tables, accepted for publication on MNRAS

References in corpus (20)

• Towards a Concordant Model of Halo Occupation Statistics
• Dark Matter Contraction and the Stellar Content of Massive Early-type Galaxies: Disfavoring "Light" Initial Mass Functions
• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• Dissipationless Mergers of Elliptical Galaxies and the Evolution of the Fundamental Plane
• Confrontation of MOND with the rotation curves of early-type disc galaxies
• X-ray Group and cluster mass profiles in MOND: Unexplained mass on the group scale
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Dwarf Spheroidals in MOND
• Dark matter content and internal dynamics of NGC 4697: NMAGIC particle models from slit data and planetary nebulae velocities
• Escaping from MOND
• Neutrinos as cluster dark matter
• Central dark matter trends in early-type galaxies from strong lensing, dynamics and stellar populations
• The Universal Faber-Jackson Relation
• Projected central dark matter fractions and densities in massive early-type galaxies from the Sloan Digital Sky Survey
• On the Initial Mass Function and tilt of the Fundamental Plane of massive early-type galaxies
• Dark matter scaling relations in intermediate z haloes
• MOND and the lensing Fundamental Plane: No need for dark matter on galaxy scales
• Two-component galaxies with flat rotation curve
• The velocity distribution of SDSS satellites in MOND
• Mass distribution and orbital anisotropy of early-type galaxies: constraints from the Mass Plane

Cited by in corpus (26)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Dark matters on the scale of galaxies
• Testing Yukawa-like potentials from f(R)-gravity in elliptical galaxies
• Systematic variations of central mass density slopes in early-type galaxies
• SPIDER - VI. The Central Dark Matter Content of Luminous Early-Type Galaxies: Benchmark Correlations with Mass, Structural Parameters and Environment
• The Faber-Jackson relation and Fundamental Plane from halo abundance matching
• Observational constraints on Yukawa cosmology and connection with black hole shadows
• Remarks on the properties of elliptical galaxies in modified Newtonian dynamics
• MOND and IMF variations in early-type galaxies from $ATLA{S}^{3D}$
• Probing the dark matter issue in f(R)-gravity via gravitational lensing
• Dark matter signatures of black holes with Yukawa potential
• Testing Verlinde's emergent gravity in early-type galaxies
• Dark Universe Phenomenology from Yukawa Potential?
• Unraveling the interplay between SIDM and baryons in MW halos: defining where baryons dictate heat transfer
• Elliptical galaxies kinematics within general relativity with renormalization group effects
• Charged Black Holes with Yukawa Potential
• An updated analysis of two classes of f(R) theories of gravity
• Testing the tensor-vector-scalar Theory with the latest cosmological observations
• Origin of the fundamental plane of elliptical galaxies in the Coma Cluster without fine-tuning
• Apparent Dark Matter Inspired by Einstein Equation of State
• Dark matter and alternative recipes for the missing mass
• The Virial Relation and Intrinsic Shape of Early-Type Galaxies
• Towards a new generalized space expansion dynamics applied to the rotation of galaxies and Tully Fisher law
• Pattern dark matter and galaxy scaling relations
• Dynamics of Dwarf Galaxies in Scalar-Tensor-Vector-Gravity
• Milgrom's Law and Lambda's Shadow: How Massive Gravity Connects Galactic and Cosmic Dynamics