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

E. Berti; L. Gualtieri; U. Sperhake; V. Cardoso

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

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arxiv 0805.1017 v2 pith:FEOKCPAU submitted 2008-05-07 gr-qc astro-ph

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

L. Gualtieri , E. Berti , V. Cardoso , U. Sperhake This is my paper

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keywords blackboostsholerotationsframegravitationalmultipolarradiation

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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 our 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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A new gravitational wave event reveals a binary black hole merger with total mass 190-265 solar masses, indicating black holes can form via gravitational-wave driven mergers beyond standard stellar channels.