Probing the post-Minkowskian approximation using recursive addition of self-interactions
Abstract
We address the problem of deriving the post-Minkowskian approximation, widely used in current gravitational wave literature by investigating a possible deduction out of the recursive N\"other coupling approach, from the Pauli-Fierz spin-2 theory in flat spacetime. We find that this approach yields the post-Minkowskian approximation correctly to the first three orders, without invoking any weak-field limit of general relativity. This connection thus establishes that the post-Minkowskian approximation has a connotation independent of a weak-field expansion of general relativity, which is the manner usually presented in the literature. As a consequence, a link manifests between the recursive N\"other coupling approach to deriving general relativity from a linear spin-2 theory in flat spacetime and theoretical analyses of recent detection of gravitational wave events.
Cite
@article{arxiv.2007.02887,
title = {Probing the post-Minkowskian approximation using recursive addition of self-interactions},
author = {Soumendra Kishore Roy and Ratna Koley and Parthasarathi Majumdar},
journal= {arXiv preprint arXiv:2007.02887},
year = {2020}
}