A Robust Measure of Dark Matter Halo Ellipticities

In simulations of the standard cosmological model (LCDM), dark matter halos are aspherical. However, so far the asphericity of an individual galaxy's halo has never been robustly established. We use the Jeans equations to define a quantity which robustly characterizes a deviation from rotational symmetry. This quantity is essentially the gravitational torque and it roughly provides the ellipticity projected along the line of sight. We show that the Thirty Meter Telescope (TMT), with a single epoch of observations combined with those of the Gaia space telescope, can distinguish the LCDM value of the torque from zero for each Sculptor-like dwarf galaxy with a confidence between 0 and 5 sigma, depending on the orientation of each halo. With two epochs of observations, TMT will achieve a 5 sigma discovery of torque and so asphericity for most such galaxies, and so will provide a new and powerful test of the LCDM model.