Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order

2024/11/14 by Vojtěch Witzany, Viktor Skoupý, Witzany, Vojtěch +5 · 1 voice · 6 citations
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics

paper · pdf · doi:10.1103/physrevd.111.044032

Abstract

The motion of compact binaries is influenced by the spin of their components starting at the 1.5 post-Newtonian (PN) order. On the other hand, in the large mass ratio limit, the spin of the lighter object appears in the equations of motion at first order in the mass ratio, coinciding with the leading gravitational self-force. Frame and gauge choices make it challenging to compare between the two limits, especially for generic spin configurations. We derive novel closed formulas for the gauge-invariant actions and frequencies for the motion of spinning test particles near Kerr black holes. We use this to express the Hamiltonian perturbatively in terms of action variables up to 3PN and compare it with the 1.5 PN action-angle Hamiltonian at finite mass ratios. This allows us to match the actions across both systems, providing a new gauge-invariant dictionary for interpolation between the two limits.

Citations

• Location of the last stable orbit in Kerr spacetime

Cited by

• Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• Hybrid waveform model for asymmetric spinning binaries: Self-force meets post-Newtonian theory
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane
• Unexpected Symmetries of Kerr Black Hole Scattering
• Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework

Discussions

• I'm a bit late, but it was a 🎉 new paper day! 🎉 today. Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order Vojtěch Witzany, Viktor Skoup [bsky, 90 points, 2 comments]

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