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20172026
most citedHamilton-Jacobi equation for spinning particles near black holes

63 citations · 218 across the 17 of their papers we have counts for

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gr-qc2026

Separability of the motion of spinning test particles in curved space-time

Vojtěch Witzany, Viktor Skoupý

Solving for the motion of spinning test particles in curved spacetimes is important for modeling gravitational-wave inspirals of spinning compact binaries. We build a Hamiltonian f…

gr-qc2025★ 4 cited

Toward relativistic inspirals into black holes surrounded by matter

Lukáš Polcar, Vojtěch Witzany

Extreme mass ratio inspirals, compact objects spiraling into massive black holes, represent key sources for future space-based gravitational-wave detectors such as LISA. The inspir…

gr-qc2025★ 4 cited

Spherical inspirals of spinning bodies into Kerr black holes

Viktor Skoupý, Gabriel Andres Piovano, Vojtěch Witzany

Extreme mass-ratio inspirals (EMRIs), consisting of a stellar-mass compact object spiraling into a massive black hole, are key sources for future space-based gravitational wave obs…

gr-qc2024★ 22 cited

Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism

Gabriel Andres Piovano, Christiana Pantelidou, Jake Mac Uilliam +1

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficie…

gr-qc2023★ 48 cited

Waveform Modelling for the Laser Interferometer Space Antenna

LISA Consortium Waveform Working Group, Niayesh Afshordi, Sarp Akçay +144

LISA, the Laser Interferometer Space Antenna, will usher in a new era in gravitational-wave astronomy. As the first anticipated space-based gravitational-wave detector, it will exp…

gr-qc2023★ 30 cited

Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects

Vojtěch Witzany, Gabriel Andres Piovano

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave i…

gr-qc2022★ 2 cited

Action-angle coordinates for black-hole geodesics I: Spherically symmetric and Schwarzschild

Vojtěch Witzany

Action-angle coordinates are a tool commonly used in celestial mechanics to systematically parametrize and store general solutions of the equations of motion of astrophysical bodie…

gr-qc2021

Einstein gravity as a theory with a SL(2,C) connection double copy

Vojtěch Witzany

Results ranging from Ashtekar variables to the perturbative Bern-Carrasco-Johansson (BCJ) double copy suggest a deep relation between Yang-Mills theory and Einstein gravity. I exam…

gr-qc2021★ 15 cited

Non-linear effects in EMRI dynamics and their imprints on gravitational waves

Georgios Lukes-Gerakopoulos, Vojtěch Witzany

The largest part of any gravitational-wave inspiral of a compact binary can be understood as a slow, adiabatic drift between the trajectories of a certain referential conservative…

gr-qc2019★ 8 cited

Spin-perturbed orbits near black holes

Vojtěch Witzany

Inspirals of rotating stellar-mass compact objects into massive black holes are influenced by the spin-curvature coupling, which drives the compact body away from geodesic motion d…

gr-qc2019★ 63 cited

Hamilton-Jacobi equation for spinning particles near black holes

Vojtěch Witzany

A compact stellar-mass object inspiralling onto a massive black hole deviates from geodesic motion due to radiation-reaction forces as well as finite-size effects. Such post-geodes…

gr-qc2019★ 2 cited

Recurrence analysis of spinning particles in the Schwarzschild background

Ondřej Zelenka, Georgios Lukes-Gerakopoulos, Vojtěch Witzany

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincaré section and recurrence analysis are emplo…

gr-qc2017★ 3 cited

Exploiting the hidden symmetry of spinning black holes: conservation laws and numerical tests

Vojtěch Witzany

The Kerr black hole is stationary and axisymmetric, which leads to conservation of energy and azimuthal angular momentum along the orbits of free test particles in its vicinity, bu…