The Cauchy convergence of T and P-approximant templates for test-mass Kerr binary systems

Abstract

In this work we examine the Cauchy convergence of both post-Newtonian (T-approximant) and re-summed post-Newtonian (P-approximant) templates for the case of a test-mass orbiting a Kerr black hole along a circular equatorial orbit. The Cauchy criterion demands that the inner product between the $n$ and $n+1$ order approximation approaches unity, as we increase the order of approximation. In previous works, it has been shown that we achieve greater fitting factors and better parameter estimation using the P-approximant templates for both Schwarzschild and Kerr black holes. In this work, we show that the P-approximant templates also display a faster Cauchy convergence making them a superior template to the standard post-Newtonian templates.

5 pages, Replaced with shortened published version

References in corpus (3)

• Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit
• A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
• Improved gravitational waveforms from spinning black hole binaries

Cited by in corpus (2)

• A New Template Family For The Detection Of Gravitational Waves From Comparable Mass Black Hole Binaries
• Modelling the post-Newtonian test-mass gravitational wave flux function for compact binary systems using Chebyshev polynomials