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arxiv: 2605.07778 · v1 · submitted 2026-05-08 · 🌀 gr-qc

Recognition: 2 theorem links

· Lean Theorem

Scalar memory from compact binary coalescences

Jann Zosso , Silvia Gasparotto , Llibert Arest\'e Sal\'o , Daniela D. Doneva , Stoytcho S. Yazadjiev
Authors on Pith no claims yet

Pith reviewed 2026-05-11 02:05 UTC · model grok-4.3

classification 🌀 gr-qc
keywords gravitational memoryscalar-Gauss-Bonnet gravitybinary black hole mergersscalar chargegravitational wavesRicci couplingbreathing polarizationnumerical relativity
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0 comments X

The pith

The change in scalar charge during a black-hole merger produces a new scalar-memory signal in Ricci-coupled scalar-Gauss-Bonnet gravity that rivals the size of the tensor-memory correction.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines gravitational memory effects in a theory that extends general relativity by coupling a scalar field to the Gauss-Bonnet invariant and to the Ricci tensor. Numerical-relativity waveforms of binary black-hole coalescences show that the scalar charge of the system drops across merger, sourcing an additional scalar breathing polarization that accumulates as a low-frequency memory offset. For a GW150914-like event this scalar-memory contribution appears on the same timescale as the ordinary memory and reaches an amplitude comparable to the pure scalar-Gauss-Bonnet correction to tensor memory. The net result is a larger net deviation from the general-relativity prediction across a wide range of source and detector orientations. The authors argue that any compact-binary merger that alters an asymptotic charge of an extra gravitational field will generate an analogous leading low-frequency signature whenever that field couples to an observable polarization.

Core claim

In Ricci-coupled scalar-Gauss-Bonnet gravity the scalar charge of a binary black-hole system is not conserved across merger; the resulting change sources a scalar-memory term whose amplitude is comparable to the scalar-Gauss-Bonnet correction to ordinary tensor memory, thereby substantially increasing the total observable deviation from general relativity on the detector timescale.

What carries the argument

Scalar-memory contribution generated by the jump in the system's scalar charge, which sources an extra breathing polarization in the gravitational-wave strain.

If this is right

  • The total memory deviation from general relativity is at least twice as large as the pure scalar-Gauss-Bonnet tensor correction over a broad range of inclinations and distances.
  • Scalar memory appears on the same observable timescale as tensor memory, allowing both to be extracted from the same post-merger data segment.
  • Any modified-gravity model in which a compact-binary merger changes an asymptotic charge of an extra field will produce an analogous leading low-frequency signature if that field excites an observable polarization.
  • Memory searches in ground-based and space-based detectors can place new constraints on the coupling constants of Ricci-coupled scalar-Gauss-Bonnet gravity even when the high-frequency waveform deviations remain small.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Memory measurements could become the dominant channel for testing scalar-tensor theories once the high-frequency ringdown has been used to fix the source parameters.
  • The mechanism suggests that memory signals should be re-examined in other theories that carry additional asymptotic charges, such as certain vector-tensor or higher-curvature models.
  • Detector networks with good low-frequency response below 10 Hz would gain the largest sensitivity gain from including the scalar-memory term in template banks.

Load-bearing premise

Numerical-relativity waveforms accurately track the scalar-charge evolution through merger and the breathing polarization reaches the detector without being suppressed by other effects.

What would settle it

A direct comparison of the low-frequency strain offset measured in a detector network for a GW150914-like event against the prediction obtained by subtracting the general-relativity memory from the full scalar-Gauss-Bonnet waveform with and without the scalar-charge jump.

Figures

Figures reproduced from arXiv: 2605.07778 by Daniela D. Doneva, Jann Zosso, Llibert Arest\'e Sal\'o, Silvia Gasparotto, Stoytcho S. Yazadjiev.

Figure 1
Figure 1. Figure 1: NR waveforms with λα/m2 2 = 0.1414 and mass ra￾tio q = 1.221 of a GW150914-like BBH, comparing GR and the vacuum dynamics of RCsGB. Top: dominant (2, 2) tensor waveforms. Middle: leading scalar multipoles. Bottom: dom￾inant tensor memory mode δh20, with the total sGB memory– corresponding to the tensor memory in RCsGB–about 2% larger than in GR. The scalar-induced contribution δh20[φ], shown enlarged in th… view at source ↗
Figure 2
Figure 2. Figure 2: Memory-only detector response for four representative source-detector geometries. Shown are GR (solid blue), pure [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Final relative memory deviation in the detector [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Absolute values of the antenna pattern functions [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Initial and final scalar monopole amplitudes [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
read the original abstract

Gravitational memory provides a distinctive low-frequency probe of gravity, but explicit merger studies beyond general relativity remain limited. In this work, we investigate memory from binary black hole mergers in Ricci-coupled scalar-Gauss-Bonnet gravity, a natural extension of scalar-Gauss-Bonnet theory that admits an additional scalar breathing polarization. Based on numerical-relativity waveforms of binary black hole coalescences, we show that the change in the scalar charge of the system across merger generates a significant scalar-memory contribution. For a GW150914-like system, this effect modifies the memory signal in a gravitational-wave detector on the same observable timescale and by an amount comparable to the pure scalar-Gauss-Bonnet correction to tensor memory. Thus, it can substantially enhance the total deviation from the general-relativity prediction over a broad range of source and detector configurations. We argue that this identifies a general mechanism: whenever a compact-binary merger changes the asymptotic charge of an additional gravitational field, and that field sources an observable extra polarization, the resulting memory can provide a leading low-frequency signature of new gravitational physics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper claims that in Ricci-coupled scalar-Gauss-Bonnet gravity, the change in asymptotic scalar charge during binary black hole mergers generates a scalar-memory contribution. Using post-processed numerical-relativity waveforms for GW150914-like systems, it shows this effect modifies the detector memory signal on the same observable timescale and with amplitude comparable to the pure sGB correction to tensor memory, substantially enhancing the total deviation from GR over a range of source and detector configurations. It identifies this as a general mechanism whenever a merger changes the asymptotic charge of an additional field that sources an observable polarization.

Significance. If the central extraction and comparison hold, the work provides a concrete, falsifiable low-frequency signature of modified gravity via memory and breathing modes, extending beyond existing tensor-memory studies in sGB. The general mechanism argument is a strength, as it ties directly to charge evolution without introducing new free parameters beyond the coupling strength.

major comments (2)
  1. [Numerical setup and scalar-charge extraction (likely §3–4)] Numerical setup and scalar-charge extraction (likely §3–4): the headline quantitative claims—that the scalar memory modifies the signal on the same timescale and by an amount comparable to the sGB tensor-memory correction—rest on post-processing GR NR waveforms to obtain the scalar-charge history. Because the Ricci coupling alters the background metric and merger dynamics, the inspiral duration, ringdown, and dQ/dt are not guaranteed to match GR; no controlled comparison to modified-gravity waveforms or back-reaction error budget is provided, leaving the 'comparable amount' and 'same timescale' statements unverified at the level needed for the detector-response assertion.
  2. [Detector-response and memory integral (likely §5)] Detector-response and memory integral (likely §5): the statement that the scalar-memory contribution is observable without suppression requires explicit propagation of the breathing polarization through the detector response function, including any projection factors or frequency-dependent filtering. The manuscript does not appear to show the full time-domain strain including both tensor and scalar memory for a network of detectors, which is load-bearing for the claim that the effect 'substantially enhance[s] the total deviation'.
minor comments (2)
  1. [Abstract and §1] The abstract and introduction should explicitly state the range of scalar-Gauss-Bonnet coupling strengths for which the 'comparable' statement holds, rather than leaving it implicit.
  2. [Theory and memory definitions] Notation for the scalar charge Q and its time derivative should be unified across equations; currently the memory integral appears to use an asymptotic value without clarifying the matching to the near-zone charge evolution.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their careful and constructive review. The comments identify key areas where the presentation and justification can be strengthened. We address each major comment below and will revise the manuscript to incorporate clarifications and additional analysis where feasible.

read point-by-point responses

  1. Referee: Numerical setup and scalar-charge extraction (likely §3–4): the headline quantitative claims—that the scalar memory modifies the signal on the same timescale and by an amount comparable to the sGB tensor-memory correction—rest on post-processing GR NR waveforms to obtain the scalar-charge history. Because the Ricci coupling alters the background metric and merger dynamics, the inspiral duration, ringdown, and dQ/dt are not guaranteed to match GR; no controlled comparison to modified-gravity waveforms or back-reaction error budget is provided, leaving the 'comparable amount' and 'same timescale' statements unverified at the level needed for the detector-response assertion.

    Authors: We acknowledge that the quantitative results rely on post-processing of GR NR waveforms. This is justified in the weak-coupling regime, where the Ricci coupling induces only perturbative corrections to the metric and dynamics; the leading scalar-charge evolution can be extracted consistently at the order relevant for memory. However, we agree that an explicit discussion of the approximation's validity is needed. In the revision we will add a dedicated subsection estimating the size of back-reaction effects via perturbative arguments and qualifying the statements on amplitude and timescale accordingly. A full controlled comparison with modified-gravity NR waveforms lies beyond the present scope. revision: partial

  2. Referee: Detector-response and memory integral (likely §5): the statement that the scalar-memory contribution is observable without suppression requires explicit propagation of the breathing polarization through the detector response function, including any projection factors or frequency-dependent filtering. The manuscript does not appear to show the full time-domain strain including both tensor and scalar memory for a network of detectors, which is load-bearing for the claim that the effect 'substantially enhance[s] the total deviation'.

    Authors: We agree that explicit propagation through the detector response is required to substantiate the observability claim. In the revised manuscript we will include the full time-domain strain for a detector network, incorporating the breathing-mode response, antenna-pattern projections, and any relevant filtering. This will demonstrate the combined tensor-plus-scalar memory signal and the resulting enhancement relative to GR. revision: yes

standing simulated objections not resolved
  • A complete set of numerical-relativity waveforms evolved directly in Ricci-coupled scalar-Gauss-Bonnet gravity (required for a fully controlled back-reaction comparison) is not available and would necessitate substantial new code development and computational resources outside the scope of this work.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper computes the scalar-memory contribution directly from the observed change in asymptotic scalar charge across merger, using that change as an input extracted from numerical-relativity waveforms. This constitutes a standard forward calculation rather than a self-definitional loop, a fitted parameter relabeled as prediction, or a load-bearing self-citation chain. No equations or steps in the provided abstract reduce the claimed memory effect to the inputs by construction; the result remains an independent consequence of the simulated charge evolution and is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the existence of a scalar charge that evolves during merger and on the ability of numerical relativity to evolve the coupled system without uncontrolled truncation errors.

free parameters (1)
  • scalar-Gauss-Bonnet coupling strength
    The dimensionless coupling parameter that controls the strength of the scalar field sourcing and therefore the size of both the charge and the memory contribution.
axioms (1)
  • domain assumption The Ricci-coupled scalar-Gauss-Bonnet theory admits a scalar breathing polarization that couples to the detector response.
    Invoked when the abstract states that the scalar memory modifies the signal in a gravitational-wave detector.

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Reference graph

Works this paper leans on

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