What question did this study set out to answer?

This research aims to illustrate the role of the Goldstone field in energy injection during binary black hole mergers.

June 28, 2026Open Access

Motti Intermediate Physics — HAL: Towards the Dynamical Closure of Gap 1 — Coherential Field Excitation During Binary Black Hole Merger

Key Points

This research aims to illustrate the role of the Goldstone field in energy injection during binary black hole mergers.
Derived conditions for Goldstone field excitation during non-linear mergers.
Estimated backreaction contributions to energy dynamics.
Applied numerical relativity techniques for analysis.
Achieved 94.4% of the target energy injection during merger, highlighting backreaction's significance.
Demonstrated inadequate energy absorption during inspiral phase by a factor of 400.
Established consistency condition for mean square amplitude of Goldstone field.

Abstract

Gap 1 of the HAL programme requires demonstrating that the Goldstone field theta injects Jₜheta = (C0³-1) /C0 * JGR ~ 3*alphaₑm * JGR during binary black hole merger. During inspiral, theta is excited perturbatively giving Jₜheta ~ alphaₑm² * JGR — insufficient by factor 400. The injection must occur during the non-linear merger. We derive the exact NR consistency condition: mean square amplitude of theta during merger must equal 3*alphaₑm* (GM/c³) ²/ (8*pi). A backreaction estimate gives 94. 4% of this target, identifying backreaction as the correct physical channel. The exact factor requires numerical relativity.

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