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Within an effective field theory method to general relativity, we calculate the fifth-order post--Newtonian (5 PN) Hamiltonian dynamics also for the tail terms, extending earlier work on the potential contributions, working in harmonic…

General Relativity and Quantum Cosmology · Physics 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in…

High Energy Physics - Theory · Physics 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto

The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies in Einstein gravity, is generalized up to quadratic order in spin -- for a pair of Kerr black holes revealing…

High Energy Physics - Theory · Physics 2022-10-05 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff

We investigate the gravitational scattering of a spinning probe mass in a Kerr background using the worldline quantum field theory (WQFT) approach. This corresponds to the leading term (0SF) in the gravitational self-force expansion for the…

High Energy Physics - Theory · Physics 2025-07-14 Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alessandra Buonanno , Yanbei Chen , Thibault Damour

Gravitational wave observations of binary black hole mergers probe their astrophysical origins via the binary spin, namely the spin magnitudes and directions of each component black hole, together described by six degrees of freedom.…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Simona J. Miller , Zoe Ko , Thomas A. Callister , Katerina Chatziioannou

In this thesis, I will study the classical scattering problem of two Kerr black holes in general relativity with novel quantum field theory techniques in the Post-Minkowskian (PM) expansion, generalizing the subleading soft theorem to the…

High Energy Physics - Theory · Physics 2024-12-04 Damiano Barcaro

Massive spinor-helicity variables in four dimensions are a useful tool for studying amplitudes between higher-spin fields and gravitons. Among them a special, simple set of amplitudes reproduces the linearized stress-energy tensor of a Kerr…

High Energy Physics - Theory · Physics 2026-05-29 Lucile Cangemi , Iustin Surubaru

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively.…

High Energy Physics - Lattice · Physics 2021-05-26 Yan Li , Jia-jun Wu , Derek B. Leinweber , Anthony W. Thomas

We derive the radial action of a spinning probe particle in Kerr spacetime from the worldline formalism in the first-order form, focusing on linear in spin effects. We then develop a novel covariant Dirac bracket formalism to compute the…

High Energy Physics - Theory · Physics 2024-11-28 Riccardo Gonzo , Canxin Shi

Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries \cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the dynamics of two spinning…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alessandro Nagar

In the last decade, the first law of binary black hole mechanics played an important unifying role in the gravitational two-body problem. More recently, binary black hole scattering and the application of high-energy physics methods have…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Riccardo Gonzo , Jack Lewis , Adam Pound

We develop a formalism to compute non-perturbative 5-point scattering amplitudes and apply it to gravitational waveforms in the two-body problem for arbitrary trajectories. Drawing inspiration from Feshbach's projector formalism in nuclear…

High Energy Physics - Theory · Physics 2026-04-21 Katsuki Aoki , Andrea Cristofoli

We present the first fully-nonlinear numerical study of the dynamics of highly spinning black-hole binaries. We evolve binaries from quasicircular orbits (as inferred from Post-Newtonian theory), and find that the last stages of the orbital…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Campanelli , C. O. Lousto , Y. Zlochower

We present a non-canonically symplectic integration scheme tailored to numerically computing the post-Newtonian motion of a spinning black-hole binary. Using a splitting approach we combine the flows of orbital and spin contributions. In…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Christian Lubich , Benny Walther , Bernd Bruegmann

While the origin of merging black-hole binaries observed in gravitational waves remain uncertain, different formation channels are expected to leave distinct imprints on their observed mass and spin distributions. In this work, we focus on…

High Energy Astrophysical Phenomena · Physics 2026-05-26 Asad Hussain , Maximiliano Isi , Aaron Zimmerman

In a compact binary coalescence, the spins of the compact objects can have a significant effect on the orbital motion and gravitational-wave (GW) emission. For generic spin orientations, the orbital plane precesses, leading to…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Mohammed Khalil , Jan Steinhoff , Justin Vines , Alessandra Buonanno

Structure of spinning particle based on the rotating black hole solution is considered. It has gyromagnetic ratio $g=2$ and a nontrivial twistorial and stringy systems. The mass and spin appear from excitations of the Kerr circular string,…

High Energy Physics - Theory · Physics 2017-08-23 A. Burinskii

The asymptotic nature of unbound binary-black-hole encounters provides a clean method for comparing different approaches for modeling the two-body problem in general relativity. In this work, we use numerical relativity simulations of…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Oliver Long , Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel

Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave scattering, due to the interaction between spin and a background spacetime. Since the spin effect is more pronounced for longer wavelengths and…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Hayato Motohashi , Shinji Mukohyama