Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order

TL;DR

This paper calculates spin-induced multipole moments for gravitational wave amplitudes from binary inspirals up to 2.5PN order using effective field theory, including tail effects from nonlinear interactions.

Contribution

It provides the first complete calculation of spin contributions to gravitational wave amplitudes at 2.5PN order using the NRGR formalism.

Findings

Derived source multipole moments including spin effects.

Reproduced tail contributions linear in spin at 2.5PN.

Enhanced understanding of spin effects in gravitational waveforms.

Abstract

Using the NRGR effective field theory formalism we calculate the remaining source multipole moments necessary to obtain the spin contributions to the gravitational wave amplitude to 2.5 Post-Newtonian (PN) order. We also reproduce the tail contribution to the waveform linear in spin at 2.5PN arising from the nonlinear interaction between the current quadrupole and the mass monopole.