2023/10/09 by Tousif Islam, Islam, Tousif
Engineering · Physics and Astronomy · #Astrophysical Phenomena and Observations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.2310.05743
openalex publication_date 2023/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the α-β mapping, as previously introduced by Islam et al.~\citeIslam:2022laz, which relates numerical relativity (NR) and adiabatic point-particle black hole perturbation theory (BHPT) waveforms in the comparable mass regime for quasi-circular, non-spinning binary black holes. This mapping involves scaling the amplitude of individual modes with different values of α and the time (and therefore the phase) with a single parameter, β. In this paper, we demonstrate that this scaling, both in terms of time and orbital frequencies, also extends to the overall gravitational-wave energy flux. This means that we can find a single αF that scales the BHPT flux and a single βF (which matches the value of β) that scales the BHPT time such a way that it aligns with NR flux evolution. We then explore the connection between the scaling parameter αF (βF) and the missing finite size correction for the secondary black hole within the BHPT framework.