Magnetized Accretion onto Inspiraling Binary Black Holes - LUTH

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$J. Phys. A: Math. Gen. 32 (1999) - LUTH - Observatoire de Paris$

BBH Metric Analytic Approximation: Buffer Zones Buffer Zone (BZ) Asymptotic matching and transition functions NZ-FZ (Same Coords.) Only transition functions. IZ-NZ (Different Coords.) Tidal fields and Coord. Trans. set in the matching BZ(NZ-FZ) IZ2 y NZ BZ(IZ2-NZ) r12 IZ1 BZ(IZ1-NZ) Bruno C. Mundim Magnetized Accretion onto Inspiraling BBH 2013-05-23 FZ x
BBH Metric Analytic Approximation: Evolution Asymptotic matching fixes the coordinate transformation (perturbatively) and the tidal fields in the IZ. Problem: it assumes both BHs lie on x-axis at t = t0 for some inertial coordinate system. How to adapt this metric for evolution? Solution: rigid rotation of the spatial coordinates back and forth. The location of each hole in the NZ coordinates: x k i,NZ = {ri cos φ, ri sin φ, 0} Transform NZ and FZ metrics to a coordinates where the holes lie on the x-axis, match them to the IZ, and transform the full metric (IZ+NZ+FZ) back to the simulation inertial coordinates: x ′ NZ = xNZ cos φ + yNZ sin φ y ′ NZ = −xNZ sin φ + yNZ cos φ Bruno C. Mundim Magnetized Accretion onto Inspiraling BBH 2013-05-23
Page 1 and 2: Magnetized Accretion onto Inspirali
Page 3 and 4: Astrophysical Motivation Do systema
Page 5 and 6: BBH Metric Analytic Approximation:
Page 7 and 8: BBH Metric Analytic Approximation:
Page 9: BBH Metric Analytic Approximation:
Page 13 and 14: Ricci Scalar 2nd Order Convergence
Page 15 and 16: Ricci Scalar 2nd Order Convergence
Page 17 and 18: Ricci Scalar: Evolution Figure: Ric
Page 19 and 20: Ricci Scalar as a Function of Appro
Page 21 and 22: Circumbinary Magnetized Disks: Simu
Page 23 and 24: Surface Density: Evolution Figure:
Page 25 and 26: Surface Density: Azimuthally Averag
Page 27 and 28: Surface Density: Azimuthally Averag
Page 29 and 30: Luminosity Variability Figure: (r,
Page 35 and 36: Conclusion and Future Work Demonstr
Page 37 and 38: Ricci Scalar: Evolution (Zoom Aroun
Page 39 and 40: Ricci Scalar: Case for Higher Order
Page 41 and 42: Ricci Scalar: Case for Higher Order
Page 43 and 44: Transition Function Effects Figure:
Page 45: Transition Function Effects Figure:

Magnetized Accretion onto Inspiraling Binary Black Holes - LUTH

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