Static and Stationary Solutions in Weak-Field Gravity

Using the previous results on static Green functions we will demonstrate in this chapter how we can utilize them to construct the gravitational field of static and stationary mass distributions in the weak-field limit of non-local ghost-free gravity. This chapter is based on Boos et al. (Phys. Rev. D 97(8), 084021 (2018); Int. J. Mod. Phys. D 27(14), 1847022 (2018); Int. J. Mod. Phys. D 29(14), 2043027 (2020); Phys. Rev. D 101(12), 124065 (2020)).