Dense Dark Matter Hairs Spreading Out From Earth, Jupiter, and Other Compact Bodies

It is shown that compact bodies project out strands of concentrated dark matter filaments, henceforth simply called hairs. These hairs are a consequence of the fine-grained stream structure of dark matter halos, and as such constitute a new physical prediction of ΛCDM. Using both an analytical model of planetary density and numerical simulations utilizing the Fast Accurate Integrand Renormalization algorithm (a fast geodesics calculator described below) with realistic planetary density inputs, dark matter streams moving through a compact body are shown to produce hugely magnified dark matter densities along the stream velocity axis passing through the center of the body. Typical hair density enhancements are 10 7 for Earth and 10 8 for Jupiter. The largest enhancements occur for particles streaming through the core of the body that are mostly focused at a single point called the root of the hair. For the Earth, the root is located at about 10 6 km from the planetary center with a density enhancement of around 10 9 while for a gas giant like Jupiter, the root is located at around 10 5 km with an enhancement of around 10 11 . Beyond the root, the hair density precisely reflects the density layers of the body, providing a direct probe of planetary interiors.