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Radiated Angular Momentum and Dissipative Effects in Classical Scattering.

Aneesh V Manohar1, Alexander K Ridgway1, Chia-Hsien Shen1

  • 1Department of Physics 0319, University of California at San Diego, 9500 Gilman Drive, La Jolla, California 92093, USA.

Physical Review Letters
|September 30, 2022
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Summary
This summary is machine-generated.

We developed a new formula for angular momentum loss in gravitational scattering, completing the set of radiated Poincaré charges. This advances our understanding of binary system dynamics and radiation reaction forces.

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Area of Science:

  • Gravitational Radiation
  • Classical Scattering
  • Theoretical Physics

Background:

  • The study of gravitational radiation and its associated momentum and angular momentum loss is crucial for understanding astrophysical phenomena like binary mergers.
  • Existing frameworks describe radiated linear momentum but lack a complete description of radiated angular momentum in classical scattering.

Purpose of the Study:

  • To present a novel formula for the angular momentum (J^{μν}) carried away by gravitational radiation during classical scattering.
  • To complete the set of radiated Poincaré charges by combining the new angular momentum formula with the known linear momentum (P^{μ}) expression.
  • To derive exact relations for these charges using nonperturbative form factors and the Poincaré algebra.

Main Methods:

  • Parametrization of radiated linear momentum (P^{μ}) and angular momentum (J^{μν}) using nonperturbative form factors.
  • Derivation of exact relations via the Poincaré algebra.
  • Calculation of radiated angular momentum (J^{μν}) for spinless particle scattering to third order in Newton's constant (G) using scattering amplitudes and effective field theory.

Main Results:

  • A new formula for angular momentum loss in gravitational scattering is presented.
  • Exact relations between energy and angular momentum loss are elucidated, including a novel relation at O(G^{3}).
  • The results provide implications for binary scattering at O(G^{4}) and a method to derive radiation reaction forces.

Conclusions:

  • The study successfully provides a complete description of radiated Poincaré charges in classical scattering.
  • The findings offer new insights into the dynamics of binary systems and gravitational radiation.
  • A procedure for bootstrapping effective radiation reaction forces from charge loss is established.