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arxiv: 2601.04623 · v2 · submitted 2026-01-08 · ✦ hep-th · gr-qc

Recognition: 2 theorem links

· Lean Theorem

Non-supersymmetric F1-P black rings

Pavan Dharanipragada , Gurmeet Singh Punia , Amitabh Virmani
Authors on Pith no claims yet

Pith reviewed 2026-05-16 16:59 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords black ringsfive-dimensional supergravityF1-P chargesnon-supersymmetric solutionsblack hole entropyextremal limitsangular momentum
0
0 comments X

The pith

Singly and doubly spinning non-supersymmetric F1-P black rings with regular horizons are constructed in five-dimensional supergravity.

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

The paper constructs explicit solutions for black rings in five-dimensional supergravity that carry F1 and P charges but are not supersymmetric. Both singly spinning and doubly spinning versions are presented, each with regular event horizons at finite temperature. The doubly spinning solution admits an extremal limit where its entropy equals twice pi times the angular momentum associated with the S squared. These constructions extend known black ring families to include charged non-BPS configurations and allow analysis of their thermodynamic properties and limits.

Core claim

We construct singly and doubly spinning non-supersymmetric F1-P black ring solutions in five-dimensional supergravity. These black rings have regular horizons and non-zero temperature. The singly spinning configuration lies in the duality orbit of a known black ring, while the doubly spinning configuration is a charged extension of another known black ring. The solutions admit various limits. In particular, the doubly spinning solution admits an extremal limit in which the entropy satisfies the relation S equals 2 pi J phi, thereby linking it directly to the angular momentum on the S squared.

What carries the argument

A metric and field ansatz in five-dimensional supergravity realizing F1-P charges on black ring topologies with specified spins.

Load-bearing premise

A suitable metric and field ansatz exists in five-dimensional supergravity that satisfies the equations of motion, imposes regularity at the horizon, and realizes the specified F1-P charges and spins without singularities.

What would settle it

An explicit calculation showing that the proposed metric and field ansatz fails to solve the supergravity equations of motion or produces a curvature singularity at the purported horizon location.

read the original abstract

We construct singly and doubly spinning non-supersymmetric F1--P black ring solutions in five-dimensional supergravity. These black rings have regular horizons and non-zero temperature. The singly spinning configuration lies in the duality orbit of the black ring constructed by Elvang, Emparan, and Figueras, while the doubly spinning configuration is a charged extension of the black ring constructed by Chen, Hong, and Teo. We analyze the physical properties of these solutions and the various limits they admit. In particular, the doubly spinning solution admits an extremal limit in which the entropy satisfies the relation S= 2 \pi J_\phi, thereby linking it directly to the angular momentum on the S^2.

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

0 major / 3 minor

Summary. The paper constructs explicit singly and doubly spinning non-supersymmetric F1-P black ring solutions in five-dimensional supergravity. These have regular horizons and non-zero temperature. The singly spinning solution lies in the duality orbit of the Elvang-Emparan-Figueras black ring, while the doubly spinning solution is a charged extension of the Chen-Hong-Teo black ring. Physical properties and limits are analyzed, with the doubly spinning case admitting an extremal limit satisfying S = 2π J_φ.

Significance. If the constructions hold, the work supplies new explicit non-supersymmetric black ring examples carrying F1-P charges and angular momenta in 5D supergravity. The extremal entropy relation S = 2π J_φ provides a direct link between horizon area and angular momentum on the S², extending known solution families and enabling further thermodynamic and limit analyses.

minor comments (3)
  1. [§3] §3: the metric ansatz for the doubly spinning case should include an explicit statement of how the gauge fields are chosen to satisfy the Bianchi identities and equations of motion simultaneously with the metric functions.
  2. The regularity analysis at the horizon (e.g., the vanishing of the surface gravity and the finiteness of curvature invariants) is stated but would benefit from a short appendix tabulating the leading near-horizon expansions of the metric functions.
  3. Figure 1 and Figure 2: the coordinate ranges and the identification of the ring radius parameter should be labeled directly on the plots for clarity when comparing the singly and doubly spinning cases.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our manuscript and for recommending minor revision. The referee's summary accurately reflects the content and results presented in the paper.

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper constructs explicit metric and gauge-field ansatze in 5D supergravity that are required to solve the equations of motion, enforce regularity at the horizon, and carry specified F1-P charges plus angular momenta. The singly spinning solution is obtained by duality from the known Elvang-Emparan-Figueras ring; the doubly spinning solution extends the Chen-Hong-Teo ring by adding charges. All physical quantities, including the extremal entropy relation S = 2π J_φ, are computed directly from the horizon area and conserved charges once the ansatz parameters are fixed by the field equations. No step reduces by construction to a fitted input, self-definition, or self-citation chain; the derivation remains independent of the target results.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard equations of motion of five-dimensional supergravity and a black-ring metric ansatz; no new free parameters are fitted to data, no new entities are postulated, and no ad-hoc axioms beyond domain-standard assumptions are required.

axioms (1)
  • domain assumption Equations of motion of five-dimensional supergravity
    Invoked to ensure the constructed metric and fields solve the theory; standard in the field.

pith-pipeline@v0.9.0 · 5417 in / 1230 out tokens · 88039 ms · 2026-05-16T16:59:00.764096+00:00 · methodology

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

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supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
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Reference graph

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