arXiv subjects

Jitze Hoogeveen

Publications and source records attributed to Jitze Hoogeveen.

4 recordsLinked to original sources

arXiv2026

Black Hole Response Theory and its Exact Shockwave Limit

We present a black hole response formalism formulated within the worldline approach to the classical gravitational two-body problem. The central objects are response functions: a hierarchy of correlators that encode, successively, the black hole's own gravitational field, the scattering of a gravitational wave off of the black-hole including recoil, and the nonlinear response to multiple gravitational perturbations. These functions serve as the natural building blocks for a systematic diagrammatic expansion in the mass ratio of a binary, the gravitational self-force expansion (SF), employing the worldline quantum field theory (WQFT) formalism. As a first application we treat an ultra-relativistic black hole, whose field is the Aichelburg-Sexl shockwave. We show that our framework reproduces the exact shockwave geometry and the trajectories of probes crossing it. Our main result is the scattering of a gravitational wave off the shockwave, computed exactly in Newton's constant by resumming the full post-Minkowskian (PM) perturbative series, which we compute for off-shell gravitons enabling later use in the SF expansion. The exact on-shell answer takes a strikingly compact form: the leading-order result is dressed by an overall phase that captures the expected infrared (Weinberg) behaviour together with a Coulomb-like scattering phase. Our results provide the basic WQFT ingredients for future 1SF computations of observables such as the impulse and waveform in the ultra high-energy regime.

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arXiv2025

Spinning the Probe in Kerr with WQFT

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 spinning two-body problem with large mass hierarchy. By reformulating the geodesic and Mathisson-Papapetrou-Dixon equations as a recursive Berends-Giele type equation known from multi-gluon scattering, we develop a novel integration-by-parts formalism on the worldline that enables systematic computation of scattering observables - specifically the impulse and spin kick - to arbitrary orders in Newton's constant and spin. Here, the transition to a position space formalism is key. We present explicit results up to and including the physical 7PM order, thereby incorporating all relevant higher-spin and higher-curvature terms on the worldline, advancing beyond previous calculations. This work represents an initial step to reconceptualise the gravitational self-force expansion through worldline quantum field theory.

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arXiv2023

Charged test-particle scattering and effective one-body metrics with spin

Using recently developed techniques, we consider weak-field test-particle scattering angle calculations in two distinct settings: Charged test-particles in spacetimes of charged sources and Effective One-Body theory with spin. We present scattering angle calculations up to $\mathcal O(G^4)$ of charged particles in the Kerr-Newman metric, including electromagnetic interactions up to second order in charge. Coulomb scattering is also discussed, and the well-known Darwin scattering formula is rederived by resummation. An Effective One-Body metric for a Kerr-Schwarzschild binary is constructed in a post-Minkowskian framework up to $\mathcal O(G^2)$ and first order in spin. Facilitated by explicit scattering calculations, our approach is equivalent with existing literature through gauge-like transformations. Finally, we investigate if the Newman Janis Algorithm applied to an Effective One-Body metric of non-spinning binaries represents a binary system with spin.

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arXiv2022

Scattering Angles in Kerr Metrics

Scattering angles for probes in Kerr metrics are derived for scattering in the equatorial plane of the black hole. We use a method that naturally resums all orders in the spin of the Kerr black hole, thus facilitating comparisons with scattering-angle computations based on the Post-Minkowskian expansion from scattering amplitudes or worldline calculations. We extend these results to spinning black-hole probes up to and including second order in the probe spin and any order in the Post- Minkowskian expansion, for probe spins aligned with the Kerr spin. When truncating to third Post-Minkowskian order, our results agree with those obtained by amplitude and worldline methods.

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