Transformation of the multipolar components of gravitational radiation under rotations and boosts

2008/05/31 by L. Gualtieri, Leonardo Gualtieri, E. Berti +5 · 36 citations
Engineering · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Binary black hole #Black hole (networking) #Classical mechanics #Computer science #Geophysics and Sensor Technology #Gravitation #Gravitational wave #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Recoil #Schwarzschild radius #Spinning #Transformation (genetics) #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.78.044024

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 78(4) (American Physical Society) · 25 pages, 5 figures, revtex4; transformations under rotations generalized to all values of l; to appear on Phys. Rev. D

arxiv created 2008/07/26 · openalex publication_date 2008/08/12 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the transformation of multipolar decompositions of gravitational radiation under rotations and boosts. Rotations to the remnant black hole's frame simplify the waveforms from the merger of generic spinning black hole binaries. Boosts may be important to get an accurate gravitational-wave phasing, especially for configurations leading to large recoil velocities of the remnant. As a test of the formalism we revisit the classic problem of point particles falling into a Schwarzschild black hole. Then we highlight by specific examples the importance of choosing the right frame in numerical simulations of unequal mass, spinning binary black-hole mergers.

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Cited by

• Testing gravitational-wave searches with numerical relativity waveforms: results from the first Numerical INJection Analysis (NINJA) project
• Angular velocity of gravitational radiation from precessing binaries and the corotating frame