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arXiv · 2007.02887

Probing the post-Minkowskian approximation using recursive addition of self-interactions

Soumendra Kishore Roy·Ratna Koley·Parthasarathi Majumdar
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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.

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Soumendra Kishore Roy, Ratna Koley, Parthasarathi Majumdar. 2020-07-06. Probing the post-Minkowskian approximation using recursive addition of self-interactions. https://doi.org/10.1103/physrevd.102.084045

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