TY - JOUR

T1 - Extreme mass-ratio binary black hole merger

T2 - Characteristics of the test-particle limit

AU - Rom, Barak

AU - Sari, Re'Em

N1 - Publisher Copyright:
© 2022 American Physical Society.

PY - 2022/11/15

Y1 - 2022/11/15

N2 - We study binary black hole mergers in the extreme mass-ratio limit. We determine the energy, angular momentum, and linear momentum of the post-merger, remnant black hole. Unlike previous works, we perform our analysis directly in the test-particle limit by solving the Regge-Wheeler-Zerilli wave equation with a source that moves along a geodesic. We rely on the fact that toward the merger, small mass-ratio binary systems follow a quasiuniversal geodesic trajectory. This formalism captures the final premerger stages of small mass-ratio binaries and thus provides a straightforward universal description in a region inaccessible to numerical relativity simulations. We present a general waveform template that may be used in the search for gravitational wave bursts from small and intermediate mass-ratio binary systems. Finally, this formalism gives a formal proof that the recoil velocity is quadratic in the symmetric mass ratio ν. Specifically, the velocity is given by V/c≈0.0467ν2. This result is about 4% larger than previously estimated. Most of this difference stems from the inclusion of higher multipoles in our calculation.

AB - We study binary black hole mergers in the extreme mass-ratio limit. We determine the energy, angular momentum, and linear momentum of the post-merger, remnant black hole. Unlike previous works, we perform our analysis directly in the test-particle limit by solving the Regge-Wheeler-Zerilli wave equation with a source that moves along a geodesic. We rely on the fact that toward the merger, small mass-ratio binary systems follow a quasiuniversal geodesic trajectory. This formalism captures the final premerger stages of small mass-ratio binaries and thus provides a straightforward universal description in a region inaccessible to numerical relativity simulations. We present a general waveform template that may be used in the search for gravitational wave bursts from small and intermediate mass-ratio binary systems. Finally, this formalism gives a formal proof that the recoil velocity is quadratic in the symmetric mass ratio ν. Specifically, the velocity is given by V/c≈0.0467ν2. This result is about 4% larger than previously estimated. Most of this difference stems from the inclusion of higher multipoles in our calculation.

UR - http://www.scopus.com/inward/record.url?scp=85142930216&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.106.104040

DO - 10.1103/PhysRevD.106.104040

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AN - SCOPUS:85142930216

SN - 2470-0010

VL - 106

JO - Physical Review D

JF - Physical Review D

IS - 10

M1 - 104040

ER -