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Dynamical damping terms for symmetry-seeking shift conditions
General Relativity and Quantum Cosmology · Submitted 12 Aug 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that this choice removes the need for special tuning and provides a shift damping term which is free of instabilities in our simulations and dynamically adapts to the individual positions and masses of the binary black-hole system.
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The abstract, sentence by sentence
Suitable gauge conditions are fundamental for stable and accurate numerical-relativity simulations of inspiralling compact binaries. A number of well-studied conditions have been developed over the last decade for both the lapse and the shift and these have been successfully used both in vacuum and non-vacuum spacetimes when simulating binaries with comparable masses. At the same time, recent evidence has emerged that the standard "Gamma-driver" shift condition requires a careful and non-trivial tuning of its parameters to ensure long-term stable evolutions of unequal-mass binaries. We present a novel gauge condition in which the damping constant is promoted to be a dynamical variable and the solution of an evolution equation. We show that this choice removes the need for special tuning and provides a shift damping term which is free of instabilities in our simulations and dynamically adapts to the individual positions and masses of the binary black-hole system. Our gauge condition also reduces the variations in the coordinate size of the apparent horizon of the larger black hole and could therefore be useful when simulating binaries with very small mass ratios.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Suitable gauge conditions are fundamental for stable and accurate numerical-relativity simulations of inspiralling compact binaries. | background 1.00 | 0.04 | 0.03 | asserted 1.00 |
| s1 | A number of well-studied conditions have been developed over the last decade for both the lapse and the shift and these have been successfully used both in vacuum and non-vacuum spacetimes when simulating binaries with comparable masses. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s2 | At the same time, recent evidence has emerged that the standard "Gamma-driver" shift condition requires a careful and non-trivial tuning of its parameters to ensure long-term stable evolutions of unequal-mass binaries. | gap 0.50 | 0.11 | 0.04 | asserted 0.74 |
| s3 | We present a novel gauge condition in which the damping constant is promoted to be a dynamical variable and the solution of an evolution equation. | contribution 0.89 | 0.94 | 0.15 | asserted 0.99 |
| s4 | We show that this choice removes the need for special tuning and provides a shift damping term which is free of instabilities in our simulations and dynamically adapts to the individual positions and masses of the binary black-hole system. | result 0.98 | 0.96 | 0.76 | asserted 1.00 |
| s5 | Our gauge condition also reduces the variations in the coordinate size of the apparent horizon of the larger black hole and could therefore be useful when simulating binaries with very small mass ratios. | result 0.61 | 0.88 | 0.10 | hedged possibility 0.93 |
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The paper
Original abstract
Suitable gauge conditions are fundamental for stable and accurate numerical-relativity simulations of inspiralling compact binaries. A number of well-studied conditions have been developed over the last decade for both the lapse and the shift and these have been successfully used both in vacuum and non-vacuum spacetimes when simulating binaries with comparable masses. At the same time, recent evidence has emerged that the standard "Gamma-driver" shift condition requires a careful and non-trivial tuning of its parameters to ensure long-term stable evolutions of unequal-mass binaries. We present a novel gauge condition in which the damping constant is promoted to be a dynamical variable and the solution of an evolution equation. We show that this choice removes the need for special tuning and provides a shift damping term which is free of instabilities in our simulations and dynamically adapts to the individual positions and masses of the binary black-hole system. Our gauge condition also reduces the variations in the coordinate size of the apparent horizon of the larger black hole and could therefore be useful when simulating binaries with very small mass ratios.
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References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 2 papers
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In addition to the changes in the (constant) values of $η$, different functional dependences for $η(x^k,t)$ have been proposed in [ref] .
Adapted gauge to a quasilocal measure of the black holes recoil · $η$-variable gauge · 0.95
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Alternatives for the conformal factor have been suggested by Refs. [ref] , but they were not investigated with respect to small-mass ratio binaries.
Adapted gauge to small mass ratio binary black hole evolutions · Shift damping parameter $η$ · 0.83
What it cites · 1 sentence without a confident label
Uses the method or tool of 1 paper
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The numerical setup used in the simulations presented here is the same one discussed in [ref] and more recently applied to the Llama code described in [ref] .
High accuracy binary black hole simulations with an extended wave zone · Numerical Setup · 1.00
Cites as background 1 paper
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In astrophysics they have been used to determine the properties of the final black hole (BH) of a BBH inspiral and merger (see [ref] and references therein for some recent work) and hence assess the role that the merger of supermassive BHs plays in the formation of galactic structures [ref] .
A General Formula for Black Hole Gravitational Wave Kicks · Introduction · 0.93
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