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New Formalism for Numerical Relativity

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

We present a new formulation of the Einstein equations that casts them in an explicitly first order, flux-conservative, hyperbolic form. We show that this now can be done for a wide class of time slicing conditions, including maximal slicing, making it potentially very useful for numerical relativity. This development permits the application to the Einstein equations of advanced numerical methods developed to solve the fluid dynamic equations, {\em without} overly restricting the time slicing, for the first time. The full set of characteristic fields and speeds is explicitly given.

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gr-qc 3

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2026 2 2025 1

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UNVERDICTED 3

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representative citing papers

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.

Critical collapse of vacuum spacetimes: Nakamura wave initial data

gr-qc · 2026-06-25 · unverdicted · novelty 5.0

Simulations with Nakamura wave initial data confirm approximately discretely self-similar threshold solutions in vacuum gravitational wave collapse, but without exact self-similarity or a unique critical solution, consistent with prior studies.

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  • Scalar fields around black hole binaries in LIGO-Virgo-KAGRA gr-qc · 2025-10-20 · unverdicted · none · ref 104 · internal anchor

    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.