Gravitational waveforms from a Lense-Thirring system

TL;DR

This paper develops a method to compute gravitational wave polarization states from inspiralling binaries with a spinning central object, incorporating higher order corrections and effects of rotation in the Lense-Thirring approximation.

Contribution

It introduces a formal approach to evaluate gravitational waveforms for eccentric orbits around spinning masses, extending previous models to include higher order effects and rotation.

Findings

Results agree with existing models for non-spinning, circular orbits.

Provides formal expressions for polarization states with higher order corrections.

Analyzes effects of central object rotation on gravitational wave signals.

Abstract

The construction of ready to use templates for gravitational waves from spinning binaries is an important challenge in the investigation of detectable gravitational wave signals. Here we present a method to evaluate the gravitational wave polarization states for inspiralling compact binaries in the extreme mass ratio limit. We discuss the effects caused by the rotation of the central massive object for eccentric orbits in the Lense-Thirring approximation and give the formal expressions of the polarization states including higher order corrections. Our results are in agreement with existing calculations for the spinless and circular orbit limits.