Reference frame dependence of the local measurement of the Hubble
  constant
  Observations recently suggest $4.4\sigma$ discrepancy between Hubble constant
measured locally and that inferred from cosmic microwave background in standard
cosmology. Either standard cosmology or local measurement might expect
something new. We investigate the possibility that the value of Hubble
constants might be affected by observers' motional status in the local
measurement. Using adapted coordinate for geodesic observers in FLRW space-time
and constraints inferred from observation of cosmic shear, we find that the
motional status of reference frame could contribute to about $1.1 \pm 0.3\%$
discrepancy of these Hubble constants. Namely, the difference is $\Delta H_0=
0.81\pm0.22$ km s$^{-1}$ Mpc$^{-1}$, if the locally measured Hubble constant is
$ 74$ km s$^{-1}$ Mpc$^{-1}$. This effect seems not negligible as an
uncertainty for local measurement of Hubble constant
