Feynman rules for gravity and FeynGrav

Perturbative quantum gravity provides a tool to study quantum gravitational effects below the Planck scale. Because of the effective nature of the theory, it has an infinite number of interaction terms and an infinite set of Feynman interaction rules. I developed a theoretical framework that allows for the calculation of these interaction rules for any order of perturbation theory. The framework is implemented in a ”FeynGrav” package in Wolfram Mathematica based on the widely-used ”FeynCalc” package. In this talk, I discuss the developed theoretical framework, the current state and further development of FeynGrav. The talk is based on [Class.Quant.Grav. 39 (2022) 16, 165006; Comput.Phys.Commun. 292 (2023) 108871; Comput.Phys.Commun. 310 (2025) 109508; arXiv:2510.17320].