Black Hole Perturbation Toolkit

Recent paper the cites the BHPToolkit: "Spiral Density Waves and Torque Balance in the Kerr Geometry" by Conor Dyson, Daniel J. D'Orazio, arxiv.org/abs/2601.19123.

Constants of motion in gravitational self-force theory Synergies between self-force theory and other approaches to the gravitational two-body problem have traditionally relied on calculations of gauge-invariant observables as functions of orbital frequenc...

First paper of 2026 to cite the BHPToolkit: "Constants of motion in gravitational self-force theory" by David Trestini, Zachary Nasipak, Adam Pound, arxiv.org/abs/2601.05223

Paper on the arXiv today that cites the BHPToolkit: "Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results" by Niels Warburton, arxiv.org/abs/2512.02274

Recent paper the cites the BHPToolk: "A-BHPT-toolkit: Analytic Black Hole Perturbation Theory Package for Gravitational Scattering Amplitudes" by Jovan Markovic, Mikhail M. Ivanov, arxiv.org/abs/2511.04765

Paper on the arXiv today that cites the BHPToolkit: "Eccentric extreme-mass-ratio inspirals: a new window into ultra-light vector fields" by Tieguang Zi, Fu-Wen Shu, arxiv.org/abs/2510.22275

Recent paper the cites the BHPToolkit: "Ab uno disce omnes: Single-harmonic search for extreme mass-ratio inspirals" by Lorenzo Speri, Rodrigo Tenorio, Christian Chapman-Bird, Davide Gerosa, arxiv.org/abs/2510.20891

The third was: "Hybrid waveform model for asymmetric spinning binaries: Self-force meets post-Newtonian theory" by Loïc Honet, Adam Pound, Geoffrey Compère, arxiv.org/abs/2510.16114

The second is "Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary" by Josh Mathews, Barry Wardell, Adam Pound, Niels Warburton, arxiv.org/abs/2510.16113

Three papers from the Multiscale Self-Force (MSF) collaboration on the arXiv yesterday that made use of the BHPToolkit. The first was "Spin-aligned inspiral waveforms from self-force and post-Newtonian theory" by Loïc Honet et al. arxiv.org/abs/2510.16112

Recent paper that cites the BHPToolkit: "Black hole mergers beyond general relativity: a self-force approach" by Ayush Roy, Lorenzo Küchler, Adam Pound, Rodrigo Panosso Macedo, arxiv.org/abs/2510.11793

This paper uses our Teukolsky package to compute fluxes and amplitudes for a particle on a circular orbit around a Kerr black hole. bhptoolkit.org/Teukolsky/

Paper on the arXiv today that uses the BHPToolkit: "Transition-to-plunge self-force waveforms with a spinning primary" by Loïc Honet, Lorenzo Küchler, Adam Pound, Geoffrey Compère, arxiv.org/abs/2510.13958

Recent paper the cites the BHPToolkit: "Hybridization of second-order gravitational self-force and numerical relativity waveforms for quasi-circular and non-spinning black hole binaries" by Hector Iglesias, Leanne Durkan, Deirdre Shoemaker, arxiv.org/abs/2510.11685

Paper on the arXiv today that cites the BHPToolkit: "Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane" by Gabriel Andres Piovano, arxiv.org/abs/2510.09597

Paper on the arXiv today that cites the BHPToolkit: "A relativistic treatment of accretion disk torques on extreme mass ratio inspirals around spinning black holes" by Abhishek Hegade K.R., Charles F. Gammie, Nicolás Yunes, arxiv.org/abs/2510.03564

The research used the GremlinEq code for solving the Teukolsky equation sourced by a small body orbiting on a circular orbit around a Kerr black hole. bhptoolkit.org/GremlinEq/

Recent paper the cites the BHPToolkit: "Consistency of spin effects between numerical relativity and perturbation theory for inspiraling comparable-mass black hole binaries" by Tousif Islam, Gaurav Khanna, Scott E. Field, arxiv.org/abs/2510.00531

The paper makes use of our PostNewtonianSelfForce package which stores a large number of high-order PN series. bhptoolkit.org/PostNewtonia...

Recent paper that cites the BHPToolkit: "A relativistic treatment of accretion disk torques on extreme mass-ratio inspirals around non-spinning black holes" by Abhishek Hegade K. R., Charles F. Gammie, Nicolás Yunes, arxiv.org/abs/2509.20457

Recent paper the cites the BHPToolkit: "Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals" by Hassan Khalvati, Philip Lynch, Ollie Burke, Lorenzo Speri, Maarten van de Meent, Zachary Nasipak, arxiv.org/abs/2509.08875

This package complements the Python qnm package in the BHPToolkit: github.com/BlackHolePer...

We are please to announce the release of a new Mathematica package for computing quasi-normal modes. The new QNM package can be found here: bhptoolkit.org/QNM-Mathemat.... The package computes both the QNM frequencies and the associated radial functions.

If you click on the right plot in Fig. 1 you get a very cool animated version: zenodo.org/records/1438...

Recent paper the cites the BHPToolkit: "Resonance in black hole ringdown: Benchmarking quasinormal mode excitation and extraction" by Kei-ichiro Kubota, Hayato Motohashi, arxiv.org/abs/2509.06411

GitHub - BlackHolePerturbationToolkit/KerrGeoPy: Python library for computing properties of stable and plunging orbits around a spinning black hole Python library for computing properties of stable and plunging orbits around a spinning black hole - BlackHolePerturbationToolkit/KerrGeoPy

This paper makes use of the KerrGeoPy Python package, which was developed by Seyong Park and @zastropak.bsky.social. For details see github.com/BlackHolePer...

arXiv paper today that cites the BHPToolkit: "Prospects for EMRI/MBH parameter estimation using Quasi-Periodic Eruption timings: short-timescale analysis" by Joheen Chakraborty et al. arxiv.org/abs/2508.20162

With this addition there are at least 225 papers that cite the BHPToolkit: bhptoolkit.org/users.html

Recent paper the cites the BHPToolkit: "Emergent Turbulence in Nonlinear Gravity" by Sizheng Ma, Luis Lehner, Huan Yang, Lawrence E. Kidder, Harald P. Pfeiffer, Mark A. Scheel, arxiv.org/abs/2508.13294

ArXiv paper today that cites the BHPToolkit: "Effective source for second-order self-force calculations: quasicircular orbits in Schwarzschild spacetime" by Samuel D. Upton, Barry Wardell, Adam Pound, Niels Warburton, Leor Barack, arxiv.org/abs/2508.00087

Recent paper that cites the BHPToolkit: "Gravitational Wave Peep Contributions to Background Signal Confusion Noise for LISA" by Daniel J Oliver, Aaron D Johnson, Lena Janssen, Joel Berrier, Kostas Glampedakis, Daniel Kennefick, arxiv.org/abs/2507.19704