Constraint-satisfying scalar-field initial data for boson star binaries is constructed via the XCFC formalism, improving on superposition by ensuring the constraints are met.
The initial value problem in numerical relativity
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abstract
The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages due to the recent introduction of a weight-function in the extrinsic curvature decomposition are discussed. I then describe recent progress in numerical techniques to solve the resulting elliptic equations, and explore innovative approaches toward the construction of astrophysically realistic initial data for binary black hole simulations.
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gr-qc 2years
2026 2verdicts
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A Gaussian Process Regression model trained on an archive of eccentricity-reduced binary black hole simulations predicts initial conditions that achieve low eccentricity with zero or one iteration.
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Constraint-satisfying binary boson star initial data via XCFC
Constraint-satisfying scalar-field initial data for boson star binaries is constructed via the XCFC formalism, improving on superposition by ensuring the constraints are met.
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Data-Driven Acceleration of Eccentricity Reduction for Binary Black Hole Simulations
A Gaussian Process Regression model trained on an archive of eccentricity-reduced binary black hole simulations predicts initial conditions that achieve low eccentricity with zero or one iteration.