On memory effect in modified gravity theories

Abstract

In this work, we discuss the gravitational memory effect in higher derivative and infinite derivative gravitytheories and give the detailed relevant calculations whose results were given in our recent works. We show that thememory effect in higher derivative gravity takes the same form as in pure GR at large distances, whereas at smalldistances, the results are different. We also demonstrate that, in infinite derivative gravity, the memory is reduced viaerror function as compared to Einstein’s gravity. For the lower bound on the mass scale of nonlocality, the memoryessentially reproduces the usual GR result at distances above very small distances.