On the Newtonian limit and cut-off scales of isothermal dark matter haloes with cosmological constant

  title={On the Newtonian limit and cut-off scales of isothermal dark matter haloes with cosmological constant},
  author={Roberto Sussman and Xavier Hernandez Instituto de Ciencias Nucleares and Instituto de Astronomia and Universidad Autonoma de Mexico and Unam},
  journal={Monthly Notices of the Royal Astronomical Society},
We examine isothermal dark matter haloes in hydrostatic equilibrium with a 'A-field', or cosmological constant A = Ω Λ ρ critc 2 , where Ω Λ ≃ 0.7 and ρ c r i t is the present value of the critical density with h ≃ 0.65. Modelling cold dark matter (CDM) as a self-gravitating Maxwell-Boltzmann gas, the Newtonian limit of general relativity yields equilibrium equations that are different from those arising by merely coupling an 'isothermal sphere' to the A-field within a Newtonian framework… 

Figures and Tables from this paper

A general relativistic approach to the Navarro-Frenk-White galactic halos
Although galactic dark matter halos are basically Newtonian structures, the study of their interplay with large-scale cosmic evolution and with relativistic effects, such as gravitational lenses,
Maxwell-Boltzmann gas with nonstandard self-interactions: A novel approach to galactic dark matter
Using relativistic kinetic theory, we study spherically symmetric, static equilibrium configurations of a collisionless Maxwell-Boltzmann gas with nonstandard self-interactions, modeled by an
Equilibrium of large astrophysical structures in the Newton-Hooke spacetime
Using the scalar and tensor virial equations, the Lane-Emden equation expressing the hydrostatic equilibrium and small oscillations around the equilibrium, we show how the cosmological constant Λ
The effect of an expanding universe on massive objects
We present some astrophysical consequences of the metric for a point mass in an expanding universe derived in Nandra, Lasenby & Hobson, and of the associated invariant expression for the force
Velocity and velocity bounds in static spherically symmetric metrics
We find simple expressions for velocity of massless particles with dependence on the distance, r, in Schwarzschild coordinates. For massive particles these expressions give an upper bound for the
On astrophysical bounds of the cosmological constant
Astrophysical bounds on the cosmological constant are examined for spherically symmetric bodies. Similar limits emerge from the hydrostatical and gravitational equilibrium and the validity of the
Temperature gradients in XMM-Newton observed REFLEX-DXL galaxy clusters at z - 0.3
We present XMM-Newton results on the temperature profiles of a volume-limited sample of galaxy clusters at redshifts z ∼ 0.3, selected from the REFLEX survey (REFLEX-DXL sample). In the spectral
Static perfect fluid balls with given equation of state and cosmological constant
Static and spherically symmetric perfect fluid solutions of Einstein's field equations with cosmological constant are analysed. After showing existence and uniqueness of a regular solution at the
Dark Energy & Dark Matter
The derivation of a formula for calculating dark energy is described in this article. The result is tested on the basis of the available data from the Max Planck Institute for Radio Astronomy.
Dark Energy and Dark Matter
We present the research carried out in Mexico in the area of cosmology. In particular the contributions towards elucidating the nature and dynamics of dark energy and dark matter.


Hydrodynamics of galactic dark matter
We consider simple hydrodynamical models of galactic dark matter in which the galactic halo is a self-gravitating and self-interacting gas that dominates the dynamics of the galaxy. Modelling this
The post-collapse equilibrium structure of cosmological haloes in a low-density universe
An analytical model is presented for the postcollapse equilibrium structure of virialized objects which condense out of a low-density cosmological background universe, either matter-dominated or flat
We derive the "exact" Newtonian limit of general relativity with a positive cosmological constant Λ. We point out that in contrast to the case with Λ=0, the presence of a positive Λ in Einsteins's
Some Dynamical Effects of the Cosmological Constant
Newton's law gets modified in the presence of a cosmological constant by a small repulsive term (antigarvity) that is proportional to the distance. Assuming a value of the cosmological constant
Dark Matter Scaling Relations
We investigate the structure of dark matter halos by means of the kinematics of a very large sample of spiral galaxies of all luminosities. The observed rotation curves show a universal profile which
Dynamical effects of the cosmological constant.
The possibility of measuring the density parameter OMEGA-0 and the cosmological constant lambda-0 = LAMBDA/(3H0(2)) using dynamical tests is explored in linear and non-linear theory. In linear theory
Evidence for a positive cosmological constant from flows of galaxies and distant supernovae
Recent observations of high-redshift supernovae seem to suggest that the global geometry of the Universe may be affected by a ‘cosmological constant’, which acts to accelerate the expansion rate with
Dark Baryons and Rotation Curves
The best measured rotation curve for any galaxy is that of the dwarf spiral DDO 154, which extends out to about 20 disk scale lengths. It provides an ideal laboratory for testing the universal
The Central Mass and Phase-Space Densities of Dark Matter Halos: Cosmological Implications
Current data suggest that the central mass densities ρ0 and phase-space densities Q ≡ ρ0/σ of cosmological halos in the present universe are correlated with their velocity dispersions σV over a very
Dark matter in dwarf spheroidals - I. Models
This paper introduces a new two-parameter family of dwarf spheroidal (dSph) galaxy models. The mass distribution has a Plummer profile and falls like R−4 in projection, in agreement with the