http://arxiv.org/abs/2010.04018
We use compiled high-precision pulsar timing measurements % spanning a decade from NANOGrav, PPTA, and EPTA to directly measure the Galactic acceleration. We compare the results to static models of the Milky Way, as well as to interacting simulations. Given the accelerations, we use the Poisson equation to derive the Oort limit, which can provide a measure of the dark matter density, given an accounting of the baryon budget. Our best-fitting model gives a mid-plane total density of $0.08^{0.05}{-0.02} M{\odot}/\rm pc^{3}$, which is close to, but lower than the estimate from recent Jeans analyses. Given recent accounting of the baryon budget, this also implies a lower value of the local dark matter density. We also find a constraint for the oblateness of the potential that we express in terms of commonly used potentials. The comparison suggests that the pulsars are tracing the oblateness of the disk rather than the halo. We give a fitting function for the vertical acceleration $a_{z}$: $a_{z} = -\alpha_{1}z$; $\log_{10} (\alpha_{1}/{\rm Gyr}^{-2})=3.69^{0.19}{-0.12}$. By analyzing interacting simulations of the Milky Way, we find that variations in $da{z}/dz$ as a function of vertical height may be a signature of sub-structure. We end by discussing the power of combining constraints from pulsar timing and high-precision radial velocity (RV) measurements towards lines-of-sight near pulsars, to test theories of gravity and constrain dark matter sub-structure.
S. Chakrabarti, P. Chang, M. Lam, et. al.
Fri, 9 Oct 20
18/64
Comments: submitted to ApJ Letters