Determining the final spin of a binary black hole system including in-plane spins: Method and checks of accuracy

Document #:

LIGO-T1600168-v6

Document type:

T - Technical notes

Abstract:

We describe a simple extension to aligned-spin fits for the final spin of a binary black hole system that includes the contribution from the in-plane spins. We show that this addition gives good agreement with the final spin from a suite of 752 numerical relativity simulations when applied to the aligned-spin fit from Healy, Lousto, and Zlochower (HLZ). This agreement is increased if one evolves the spins using post-Newtonian expressions. We also show that the unmodified HLZ final mass fit gives good agreement with the numerical relativity data.

Files in Document:

• Final_mass_and_spin_public.pdf (271.8 kB)

Topics:

• Compact Binaries

Authors:

• Nathan Johnson-McDaniel
• Anuradha Gupta
• P Ajith
• David Keitel
• Ofek Birnholtz
• Frank Ohme
• Sascha Husa

Keywords:

binary_black_hole final_spin final_mass

Notes and Changes:

Public version of LIGO-T1600162
v2: Incorporates reviewer comments
v3: Add a reference, include reviewers as authors, and include DOI links in the bibliography
v4: Add acknowledgments for NR waveforms
v5: Add remaining NR people to acknowledgments
v6: Incorporate small corrections to NR data, add references to the NR-PE paper and to a recent fit, and compare with the errors when one does not include the in-plane spins.

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