Self-forced gravitational waveforms for Extreme and Intermediate mass ratio inspirals

Abstract

We present the first orbit-integrated self force effects on the gravitational waveform for an I(E)MRI source. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole and study the dependence of the dephasing of the corresponding gravitational waveforms due to ignoring the conservative piece of the self force. We calculate the cumulative dephasing of the waveforms and their overlap integral, and discuss the importance of the conservative piece of the self force in detection and parameter estimation. For long templates the inclusion of the conservative piece is crucial for gravitational-wave astronomy, yet may be ignored for short templates with little effect on detection rate. We then discuss the effect of the mass ratio and the start point of the motion on the dephasing.

9 pages, 15 figures. Substantially expanded and revised. We added: description of the orbits and analysis of the dependence of the dephasing effect on the parameter space, specifically the mass ratio and starting point of the motion. Also added a more thorough description of out method

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• Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
• Searching for ultralight bosons with supermassive black hole ringdown
• Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. II: Importance of the second-order dissipative effect
• Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. III: Spin-orbit coupling revisited
• A fully relativistic radial fall
• Fast Evolution and Waveform Generator for Extreme-Mass-Ratio Inspirals in Equatorial-Circular Orbits
• Indirect (source-free) integration method. II. Self-force consistent radial fall
• Optimizing the Placement of Numerical Relativity Simulations using a Mismatch Predicting Neural Network