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title: "Gravitational wave surrogate model for spinning, intermediate mass ratio binaries based on perturbation theory and numerical relativity" | ||
authors: | ||
- "Rink, Katie" | ||
- "Bachhar, Ritesh" | ||
- "Islam, Tousif" | ||
- "Rifat, Nur E.M." | ||
- "Gonzalez-Quesada, Kevin" | ||
- "Field, Scott E." | ||
- "Khanna, Gaurav" | ||
- "Hughes, Scott A." | ||
- "Varma, Vijay" | ||
jref: "Phys.Rev.D 110, 124069 (2024)" | ||
doi: "10.1103/PhysRevD.110.124069" | ||
date: 2024-07-25 | ||
arxiv: "2407.18319" | ||
abstract: | | ||
We present BHPTNRSur2dq1e3, a reduced order surrogate model of | ||
gravitational waves emitted from binary black hole (BBH) systems in | ||
the comparable to large mass ratio regime with aligned spin (<math | ||
display="inline"><msub><mi>χ</mi><mn>1</mn></msub></math>) on the | ||
heavier mass (<math | ||
display="inline"><msub><mi>m</mi><mn>1</mn></msub></math>). We | ||
trained this model on waveform data generated from point particle | ||
black hole perturbation theory (ppBHPT) with mass ratios varying | ||
from <math | ||
display="inline"><mn>3</mn><mo>≤</mo><mi>q</mi><mo>≤</mo><mn>1000</mn></math> | ||
and spins from <math | ||
display="inline"><mo>-</mo><mn>0.8</mn><mo>≤</mo><msub><mi>χ</mi><mn>1</mn></msub><mo>≤</mo><mn>0.8</mn></math>. | ||
The waveforms are 13,500 <math | ||
display="inline"><msub><mi>m</mi><mn>1</mn></msub></math> long and | ||
include all <math | ||
display="inline"><mo>ℓ</mo><mo>≤</mo><mn>4</mn></math> spin-weighted | ||
spherical harmonic modes except the (4,1) and <math | ||
display="inline"><mi>m</mi><mo>=</mo><mn>0</mn></math> modes. We | ||
find that, for binaries with <math | ||
display="inline"><msub><mi>χ</mi><mn>1</mn></msub><mo>≲</mo><mo>-</mo><mn>0.5</mn></math>, | ||
retrograde quasinormal modes are significantly excited, thereby | ||
complicating the modeling process. To overcome this issue, we | ||
introduce a domain decomposition approach to model the inspiral and | ||
merger-ringdown portion of the signal separately. The resulting | ||
model can faithfully reproduce ppBHPT waveforms with a median time- | ||
domain mismatch error of <math | ||
display="inline"><mn>8</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>5</mn></mrow></msup></math>. | ||
We then calibrate our model with numerical relativity (NR) data in | ||
the comparable mass regime (<math | ||
display="inline"><mn>3</mn><mo>≤</mo><mi>q</mi><mo>≤</mo><mn>10</mn></math>). | ||
By comparing with spin-aligned BBH NR simulations at <math | ||
display="inline"><mi>q</mi><mo>=</mo><mn>15</mn></math>, we find | ||
that the dominant quadrupolar (subdominant) modes agree to better | ||
than <math | ||
display="inline"><mo>≈</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>3</mn></mrow></msup></math> | ||
(<math | ||
display="inline"><mo>≈</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup></math>) | ||
when using a time-domain mismatch error, where the largest source of | ||
calibration error comes from the transition-to-plunge and ringdown | ||
approximations of perturbation theory. Mismatch errors are below | ||
<math | ||
display="inline"><mo>≈</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup></math> | ||
for systems with mass ratios between <math | ||
display="inline"><mn>6</mn><mo>≤</mo><mi>q</mi><mo>≤</mo><mn>15</mn></math> | ||
and typically get smaller at larger mass ratio. Our two models—both | ||
the ppBHPT waveform model and the NR-calibrated ppBHPT model—will be | ||
publicly available through gwsurrogate and the black hole | ||
perturbation toolkit packages. | ||
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