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arxiv: 2510.07148 · v1 · submitted 2025-10-08 · 🌀 gr-qc · hep-th

Characterization of gravitational radiation at infinity with a cosmological constant

Francisco Fern\'andez-\'Alvarez , Jos\'e M. M. Senovilla This is my paper

Pith reviewed 2026-05-18 09:23 UTC · model grok-4.3

classification 🌀 gr-qc hep-th
keywords gravitational radiationcosmological constantasymptotic super-momentumnull infinityNews tensorgeneral relativityexact solutions
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The pith

Asymptotic super-momentum characterizes the presence of gravitational radiation at infinity for any cosmological constant.

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

The paper develops a way to tell whether gravitational radiation is escaping to infinity in spacetimes that include a cosmological constant of positive, negative, or zero value. It relies on the behavior of the asymptotic super-momentum to make this distinction. When the cosmological constant vanishes, the method reduces to the familiar one using the News tensor. For nonzero values, it supplies the first consistent definition of radiation at the boundary and passes checks against known exact solutions. This matters for describing radiation in realistic cosmological models where a cosmological constant is present.

Core claim

The existence or absence of gravitational radiation escaping from the spacetime at script J is characterized using the properties of the asymptotic super-momentum in the presence of a cosmological constant Lambda of any sign. When Lambda equals zero, the characterization is equivalent to that based on the News tensor. For Lambda not equal to zero, it provides the first reliable definition of existence of radiation at J and gives fully satisfactory results in known exact solutions.

What carries the argument

The asymptotic super-momentum, used to determine the presence or absence of gravitational radiation at the conformal boundary J.

If this is right

  • When the cosmological constant is zero, the characterization coincides with the standard News tensor approach.
  • For nonzero cosmological constant, it offers the first reliable way to identify radiation at infinity.
  • The method performs well when tested on known exact solutions with a cosmological constant.
  • It applies uniformly to positive, negative, and zero values of Lambda.

Where Pith is reading between the lines

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

  • This approach may enable studies of gravitational waves in de Sitter or anti-de Sitter backgrounds.
  • Future numerical simulations of radiating systems could use this super-momentum criterion to confirm radiation presence.
  • Connections to other asymptotic quantities like the Bondi mass might be explored using this framework.

Load-bearing premise

The properties of the asymptotic super-momentum suffice to distinguish whether gravitational radiation is present or absent at J, regardless of the sign of the cosmological constant.

What would settle it

Finding an exact solution with nonzero Lambda where the super-momentum indicates no radiation but independent calculations show radiation is escaping, or the opposite case.

read the original abstract

The existence or absence of gravitational radiation escaping from the spacetime at $\mathscr{J}$ is characterized in the presence of a cosmological constant $\Lambda$ of any sign. To that end, the properties of the asymptotic super-momentum are used. When $\Lambda=0$, the characterization is equivalent to that based on the News tensor. For $\Lambda\neq 0$, it provides the first reliable definition of existence of radiation at $\mathscr{J}$, and it gives fully satisfactory results in known exact solutions.

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

1 major / 0 minor

Summary. The manuscript claims to characterize the existence or absence of gravitational radiation at conformal infinity (script J) for a cosmological constant Lambda of any sign by using properties of the asymptotic super-momentum. When Lambda = 0 the criterion reduces to the standard News-tensor condition; for Lambda ≠ 0 it is presented as the first reliable definition and is reported to give fully satisfactory results when tested on known exact solutions.

Significance. If the central claim is established, the work would supply a unified, symmetry-based definition of radiation at infinity that applies uniformly to flat, de Sitter and anti-de Sitter asymptotics. This would be a useful addition to the literature on asymptotic symmetries and gravitational waves in the presence of a nonzero cosmological constant. The verification against exact solutions is a concrete strength that supports practical utility.

major comments (1)
  1. [Abstract and main characterization] Abstract and the central characterization (the assertion that listed properties of the asymptotic super-momentum are necessary and sufficient): the manuscript derives the relevant asymptotic expansions and checks the criterion on exact solutions, yet does not demonstrate that these properties isolate radiative degrees of freedom independently of the causal character of J (null, spacelike or timelike) and without contamination from Lambda-induced background curvature or choice of conformal factor. This sufficiency step is load-bearing for the claim that the construction supplies the 'first reliable definition' for Lambda ≠ 0.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive assessment of the significance of our work and for the detailed major comment. We respond to it below, agreeing to make revisions to enhance the demonstration of our central claim.

read point-by-point responses

  1. Referee: [Abstract and main characterization] Abstract and the central characterization (the assertion that listed properties of the asymptotic super-momentum are necessary and sufficient): the manuscript derives the relevant asymptotic expansions and checks the criterion on exact solutions, yet does not demonstrate that these properties isolate radiative degrees of freedom independently of the causal character of J (null, spacelike or timelike) and without contamination from Lambda-induced background curvature or choice of conformal factor. This sufficiency step is load-bearing for the claim that the construction supplies the 'first reliable definition' for Lambda ≠ 0.

    Authors: We thank the referee for this insightful comment. The asymptotic expansions in the manuscript are obtained from the Einstein equations with arbitrary cosmological constant using the general framework of conformal completions at script J. This setup does not presuppose the causal character of script J, which is instead determined by the sign of Lambda; the derivation proceeds uniformly from the asymptotic field equations. The asymptotic super-momentum is defined by subtracting the explicit background curvature contributions proportional to Lambda, ensuring that its properties reflect only the radiative degrees of freedom. Equivalence to the standard news-tensor criterion when Lambda vanishes provides a cross-check for the null case, while verification on exact solutions (including those with spacelike and timelike script J) supports the criterion for nonzero Lambda. Regarding conformal-factor independence, the relevant vanishing conditions are preserved under the residual conformal rescalings that maintain the asymptotic structure. We acknowledge that an explicit general argument isolating the radiative content across all cases would strengthen the presentation. We will therefore add a dedicated subsection in the revised manuscript that derives the sufficiency of the super-momentum properties while explicitly addressing independence from the causal character of script J and from conformal gauge choices. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the characterization via asymptotic super-momentum properties

full rationale

The paper characterizes gravitational radiation at J using properties of the asymptotic super-momentum for any sign of Lambda. When Lambda=0 the method is stated to be equivalent to the News-tensor criterion, supplying an independent external benchmark rather than a self-referential fit. For Lambda≠0 the claim is presented as a new definition verified on known exact solutions. No load-bearing step reduces by the paper's own equations or self-citation to its inputs; the super-momentum properties are invoked from the established asymptotic-symmetries framework and the derivation remains self-contained against those external references.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard asymptotic framework of general relativity with a cosmological constant; no new free parameters, ad-hoc axioms, or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption The asymptotic super-momentum possesses well-defined properties that can be used to characterize radiation at null infinity.
    Invoked as the basis for the characterization when Lambda is nonzero.

pith-pipeline@v0.9.0 · 5607 in / 1249 out tokens · 38090 ms · 2026-05-18T09:23:02.159247+00:00 · methodology

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