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duetosymmetry committed Jan 3, 2025
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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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