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A single-domain spectral method for black hole puncture data

Mixed citation behavior. Most common role is method (60%).

10 Pith papers citing it
Method 60% of classified citations
abstract

We calculate puncture initial data corresponding to both single and binary black hole solutions of the constraint equations by means of a pseudo-spectral method applied in a single spatial domain. Introducing appropriate coordinates, these methods exhibit rapid convergence of the conformal factor and lead to highly accurate solutions. As an application we investigate small mass ratios of binary black holes and compare these with the corresponding test mass limit that we obtain through a semi-analytical limiting procedure. In particular, we compare the binding energy of puncture data in this limit with that of a test particle in the Schwarzschild spacetime and find that it deviates by 50% from the Schwarzschild result at the innermost stable circular orbit of Schwarzschild, if the ADM mass at each puncture is used to define the local black hole masses.

citation-role summary

method 3 background 2

citation-polarity summary

fields

gr-qc 10

years

2026 6 2025 4

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representative citing papers

Gravitational Memory from Hairy Binary Black Hole Mergers

gr-qc · 2026-04-10 · unverdicted · novelty 8.0

Gravitational memory from hairy binary black hole mergers in scalar-Gauss-Bonnet gravity differs from GR by a few percent due to altered nonlinear dynamics, with direct scalar contributions suppressed, and including memory increases GR-sGB mismatch by more than an order of magnitude.

Self-force calculations with numerical relativity methods

gr-qc · 2026-06-03 · unverdicted · novelty 6.0

A new numerical relativity-inspired method achieves exponential convergence for scalar self-force calculations in Kerr spacetime on circular equatorial orbits up to near-extremal spins and the ISCO.

Cusp Formation in Merging Black Hole Horizons

gr-qc · 2026-05-11 · unverdicted · novelty 6.0 · 2 refs

Numerical study of cusp formation on horizons in head-on non-spinning black hole mergers, with analysis of mass and multipole behavior at the cusp and a proposed phenomenological model.

Scalar fields around black hole binaries in LIGO-Virgo-KAGRA

gr-qc · 2025-10-20 · unverdicted · novelty 6.0

Semi-analytic waveform model for scalar environments around black hole binaries is validated against numerical relativity and applied to LIGO-Virgo-KAGRA data to obtain upper limits on scalar densities with tentative evidence in GW190728.

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