Simulator 05 – Jeans Playground

Dwarf-Spheroidal Velocity-Dispersion Curves

Compare ΛCDM (NFW cusp), MOND, and scalaron-driven RFT cores. Adjust halo parameters and watch the χ² score update in real time.

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About the Jeans Playground

Dwarf spheroidal galaxies provide a stringent test for cosmological models. These small, dark matter-dominated systems exhibit velocity dispersion profiles that are challenging to explain with standard models.

The Spherical Jeans Equation

This simulator solves the spherical Jeans equation, which relates the stellar velocity dispersion to the underlying gravitational potential:

\[\frac{d(\rho_\star\sigma_r^2)}{dr}+2\beta_{\rm aniso}\frac{\rho_\star\sigma_r^2}{r} =-\rho_\star\frac{d\Phi}{dr}\]

Models Compared

  • ΛCDM (NFW) - Standard cold dark matter with cuspy density profile
  • MOND - Modified Newtonian Dynamics with simple μ-function
  • RFT - Relativistic Field Theory with scalaron-driven Burkert cores

Key Findings

Only RFT simultaneously fits Fornax, Carina, and Draco with the same scalaron parameters that succeeded in earlier tests, demonstrating the model's consistency across different astrophysical scales.

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