Dynamical shift condition for unequal mass black hole binaries

Müller, Doreen; Grigsby, Jason D.; Brügmann, Bernd

doi:10.1103/physrevd.82.064004

Cited by 26 publications

(32 citation statements)

References 44 publications

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“…For the simulations with q > 4, we used the coordinate-dependent gauge term as described in Refs. [26] and [27]. For the q = 10 and q = 15 simulations, initial parameters in Ref.…”

Section: The Binary Black Hole Coalescence Waveformsmentioning

confidence: 99%

Impact of higher-order modes on the detection of binary black hole coalescences

et al. 2013

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The inspiral and merger of black-hole binary systems are a promising source of gravitational waves for the array of advanced interferometric ground-based gravitational-wave detectors currently being commissioned. The most effective method to look for a signal with a well understood waveform, such as the binary black hole signal, is matched filtering against a library of model waveforms. While current model waveforms are comprised solely of the dominant radiation mode, the quadrupole mode, it is known that there can be significant power in the higher-order modes for a broad range of physically relevant source parameters during the merger of the black holes. The binary black hole waveforms produced by numerical relativity are accurate through late inspiral, merger, and ringdown and include the higher-order modes. The available numerical-relativity waveforms span an increasing portion of the physical parameter space of unequal mass, spin and precession. In this paper, we investigate the degree to which gravitational-wave searches could be improved by the inclusion of higher modes in the model waveforms, for signals with a variety of initial mass ratios and generic spins. Our investigation studies how well the quadrupole-only waveform model matches the signal as a function of the inclination and orientation of the source and how the modes contribute to the distance reach into the Universe of Advanced LIGO for a fixed set of internal source parameters. The mismatch between signals and quadrupole-only waveform can be large, dropping below 0.97 for up to 65% of the source-sky for the non-precessing cases we studied, and over a larger area in one precessing case. There is a corresponding 30% increase in detection volume that could be achieved by adding higher modes to the search; however, this is mitigated by the fact that the mismatch is largest for signals which radiate the least energy and to which the search is therefore least sensitive. Likewise, the mismatch is largest in directions from the source along which the least energy is radiated.

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“…For the simulations with q > 4, we used the coordinate-dependent gauge term as described in Refs. [26] and [27]. For the q = 10 and q = 15 simulations, initial parameters in Ref.…”

Section: The Binary Black Hole Coalescence Waveformsmentioning

confidence: 99%

Impact of higher-order modes on the detection of binary black hole coalescences

et al. 2013

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“…Recently it has been shown that a spatially varying η parameter may be helpful in the evolution of unequal mass binaries [41,42].…”

Section: Puncture Gauge Conditionsmentioning

confidence: 99%

Constraint preserving boundary conditions for the Z4c formulation of general relativity

Ruiz¹,

Hilditch²,

Bernuzzi³

2011

Phys. Rev. D

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We discuss high order absorbing constraint preserving boundary conditions for the Z4c formulation of general relativity coupled to the moving puncture family of gauges. We are primarily concerned with the constraint preservation and absorption properties of these conditions. In the frozen coefficient approximation, with an appropriate first order pseudo-differential reduction, we show that the constraint subsystem is boundary stable on a four dimensional compact manifold. We analyze the remainder of the initial boundary value problem for a spherical reduction of the Z4c formulation with a particular choice of the puncture gauge. Numerical evidence for the efficacy of the conditions is presented in spherical symmetry.

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“…In Sec. IV we discuss results for (42) and (43), because they are easier to obtain and the difference between those results and results obtained with (44) and (45) seems to be minor. Fig.…”

Section: Multiple Trumpetsmentioning

confidence: 95%

“…where we use (42) and (43) for the computation of the source terms in the right hand side of the equations. Additionally, we have set ∂ t K = ∂ tḡij = 0 and denoted the vector Laplacian by ∆ L , while (Lβ)…”

Section: Multiple Trumpetsmentioning

confidence: 99%

“…The results refer to an equal-mass binary black hole simulation with an initial separation of d = 20m, where the black holes are located on the x-axis and perform a headon collision. Additionally, we set η = 0 in theΓ-driver condition for this subsection to reduce the gauge-related growth of the coordinate distance of the apparent horizon [16,40,42].…”

Section: B Reduction Of Initial Gauge Dynamicsmentioning

confidence: 99%

See 1 more Smart Citation

Solving the Hamiltonian constraint for1+logtrumpets

Dietrich¹,

Brügmann²

2014

Phys. Rev. D

Self Cite

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The puncture method specifies black hole data on a hypersurface with the aid of a conformal rescaling of the metric that exhibits a coordinate singularity at the puncture point. When constructing puncture initial data by solving the Hamiltonian constraint for the conformal factor, the coordinate singularity requires special attention. The standard way to treat the pole singularity occurring in wormhole puncture data is not generally applicable to trumpet puncture data. We investigate a new approach based on inverse powers of the conformal factor and present numerical examples for single punctures of the wormhole and 1+log-trumpet type. Additionally, we describe a method to solve the Hamiltonian constraint for two 1+log trumpets for a given extrinsic curvature with non-vanishing trace. We investigate properties of this constructed initial data during binary black hole evolutions and find that the initial gauge dynamics is reduced.

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Dynamical shift condition for unequal mass black hole binaries

Cited by 26 publications

References 44 publications

Impact of higher-order modes on the detection of binary black hole coalescences

Impact of higher-order modes on the detection of binary black hole coalescences

Constraint preserving boundary conditions for the Z4c formulation of general relativity

Solving the Hamiltonian constraint for1+logtrumpets

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