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Gravitational Spin-Orbit Coupling through Third-Subleading Post-Newtonian Order: From First-Order Self-Force to
Andrea Antonelli1, Chris Kavanagh1, Mohammed Khalil1,2
1Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, Potsdam 14476, Germany.
Physical Review Letters
|July 18, 2020
Summary
Researchers used first-order self-force results to achieve arbitrary-mass-ratio results for gravitational wave corrections in spinning binaries. This improves accuracy for gravitational wave models, validated against numerical simulations.
Area of Science:
- Gravitational physics
- General relativity
- Astrophysics
Background:
- Accurate modeling of gravitational waves from spinning binaries is crucial for data analysis.
- Post-Newtonian (PN) expansions provide analytical approximations for binary dynamics.
- Self-force effects become significant as mass ratios approach unity.
Purpose of the Study:
- To derive the complete third-subleading post-Newtonian (4.5PN) corrections to the spin-orbit sector for spinning binaries.
- To extend first-order self-force results to arbitrary mass ratios.
- To improve the accuracy of gravitational wave models for spinning binary systems.
Main Methods:
- Exploiting properties of relativistic gravitational scattering.
- Utilizing first-order self-force (linear-in-mass-ratio) results.
- Extending results to arbitrary mass ratios for generic orbits and spin orientations.
Main Results:
- Obtained arbitrary-mass-ratio results for the complete 4.5PN spin-orbit corrections.
- Significantly improved key ingredients for gravitational wave models of spinning binaries.
- Demonstrated enhanced accuracy by comparison with aligned-spin numerical relativity simulations.
Conclusions:
- The derived 4.5PN spin-orbit corrections provide a more accurate analytical description of spinning binary dynamics.
- These improved analytical models are vital for precise interpretation of gravitational wave signals.
- The methodology offers a pathway to higher-order corrections and more complex binary systems.
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