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Adiabatic Waveforms from Extreme-Mass-Ratio Inspirals: An Analytical Approach.

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A new model generates accurate gravitational waveforms for extreme-mass-ratio inspirals (EMRIs) around black holes. This tool aids the Laser Interferometer Space Antenna (LISA) mission by covering diverse orbital and spin configurations.

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Area of Science:

  • Astrophysics
  • Gravitational Wave Astronomy
  • General Relativity

Background:

  • Gravitational wave detector LISA requires theoretical waveforms for extreme-mass-ratio inspirals (EMRIs).
  • Current waveform calculations struggle with the vast parameter space of orbital and spin configurations around Kerr black holes.
  • On-the-fly waveform generation is computationally challenging.

Purpose of the Study:

  • To develop a user-ready EMRI waveform model for generic orbits in Kerr spacetime.
  • To provide accurate waveforms for data analysis in gravitational wave astronomy.
  • To cover a wide range of black hole spin and orbital inclinations.

Main Methods:

  • Utilized an analytical self-force approach.
  • Developed a waveform model for eccentric and inclined orbits.
  • Focused on the regime up to modest eccentricity and separation from the last stable orbit.

Main Results:

  • The model accurately covers EMRIs with arbitrary inclination and black hole spin.
  • Waveforms are accurate at the leading adiabatic order for moderate eccentricities.
  • The model approximately captures transient self-force resonances affecting gravitational wave phase.

Conclusions:

  • The developed EMRI waveform model addresses an urgent need for extensive waveforms in LISA data analysis.
  • The model provides accurate coverage for a significant range of astrophysical scenarios.
  • Individual components of the model will be valuable for future, more comprehensive waveform development.