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Tidal Effects in the Post-Minkowskian Expansion.

Clifford Cheung1, Mikhail P Solon1

  • 1Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125.

Physical Review Letters
|November 20, 2020
PubMed
Summary

Researchers applied scattering amplitudes to study neutron star mergers, calculating tidal effects for the first time. This advances understanding of gravitational waves from compact object inspirals.

Area of Science:

  • Gravitational physics
  • Astrophysics
  • Quantum field theory

Background:

  • Scattering amplitudes and effective field theory have yielded advanced results for black hole binary inspirals.
  • Extending these methods to neutron star mergers requires incorporating tidal effects.

Purpose of the Study:

  • To extend scattering amplitude and effective field theory methods to include tidal effects in neutron star mergers.
  • To compute post-Minkowskian corrections to the conservative Hamiltonian for nonspinning neutron star mergers.

Main Methods:

  • Utilizing tools from scattering amplitudes and effective field theory.
  • Calculating leading and next-to-leading order post-Minkowskian finite size corrections.
  • Computing associated scattering amplitudes and angles.

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Main Results:

  • The leading and next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian were computed.
  • Expressions for scattering amplitudes and scattering angles, including tidal effects, were derived.
  • Gauge-invariant expressions consistent with extreme mass ratio limits and existing results were obtained.

Conclusions:

  • The study successfully extended scattering amplitude methods to include tidal effects in neutron star mergers.
  • The derived expressions provide a more complete description of conservative dynamics in these systems.
  • This work paves the way for more accurate gravitational wave predictions from neutron star mergers.