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arxiv: 2606.01141 · v1 · pith:NVPXN6UVnew · submitted 2026-05-31 · 🌀 gr-qc · hep-th

Rotating traversable wormholes and particle dynamics in f(R,T) gravity

G.G.L. Nashed , Waleed El Hanafy , Amare Abebe , Kazuharu Bamba , Emmanuel N. Saridakis This is my paper

Pith reviewed 2026-06-28 16:40 UTC · model grok-4.3

classification 🌀 gr-qc hep-th
keywords wormholesf(R,T) gravityrotating solutionsenergy conditionsparticle dynamicsshadowlensing
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The pith

Rotating traversable wormholes in f(R,T) gravity can be supported by matter that satisfies the null and strong energy conditions.

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

The paper constructs stationary axisymmetric wormhole solutions in f(R,T) gravity using the slow-rotation approximation and an anisotropic fluid. These geometries are regular, asymptotically flat, and horizonless while satisfying the flare-out condition. The key finding is that the matter sector obeys the null and strong energy conditions, allowing traversable rotating wormholes without exotic matter. The work also examines particle motion, frame dragging, and potential observational signatures like shadow deformation.

Core claim

Stationary and axisymmetric wormhole solutions in f(R,T) gravity supported by an anisotropic fluid are regular, asymptotically flat, horizonless, satisfy the flare-out condition, and have matter that satisfies both the null and strong energy conditions.

What carries the argument

The slow-rotation approximation applied to a stationary axisymmetric metric in f(R,T) gravity coupled to an anisotropic fluid stress-energy tensor.

If this is right

  • Particle dynamics include frame dragging and non-geodesic effects from the matter-geometry coupling.
  • The solutions exhibit shadow deformation and gravitational lensing signatures due to rotation.
  • A preliminary stability analysis based on sound-speed conditions supports physical viability.

Where Pith is reading between the lines

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

  • These wormholes could produce detectable astrophysical signals distinguishable from black holes.
  • Extending beyond slow rotation might reveal new effects or instabilities in faster spinning cases.
  • Similar constructions could be explored in other modified gravity theories with matter couplings.

Load-bearing premise

The slow-rotation approximation together with chosen metric functions and anisotropic fluid allow the modified field equations to be solved while satisfying the energy conditions.

What would settle it

An explicit computation of the null energy condition for the matter sector that yields a negative value at the throat would falsify the claim that exotic matter is not required.

Figures

Figures reproduced from arXiv: 2606.01141 by Amare Abebe, Emmanuel N. Saridakis, G.G.L. Nashed, Kazuharu Bamba, Waleed El Hanafy.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
read the original abstract

Traversable wormholes are among the most interesting solutions of gravitational theories, but within General Relativity they generally require exotic matter violating the null energy condition. Modified gravity theories with matter-geometry coupling provide a promising framework in which wormhole geometries may instead be supported by effective gravitational contributions. Motivated by this possibility, we investigate rotating traversable wormholes in $f(R,T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of the energy-momentum tensor, within the slow-rotation approximation. We construct stationary and axisymmetric wormhole solutions supported by an anisotropic fluid and show that the obtained geometries are regular, asymptotically flat, horizonless, and satisfy the flare-out condition at the throat. A central result is that the matter sector satisfies both the null and strong energy conditions, indicating that traversable rotating wormholes can be supported without exotic matter. We further analyze particle motion, frame dragging, and non-geodesic effects arising from matter-geometry coupling, together with shadow deformation and gravitational lensing signatures induced by rotation. A preliminary stability analysis based on sound-speed conditions indicates the physical viability of the solutions. These results demonstrate that rotating wormholes in $f(R,T)$ gravity constitute physically consistent compact configurations with potentially observable astrophysical signatures.

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 constructs stationary axisymmetric rotating traversable wormhole solutions in f(R,T) gravity in the slow-rotation limit, supported by an anisotropic fluid. The geometries are reported to be regular, asymptotically flat, horizonless, and to satisfy the flare-out condition at the throat. A central result is that the matter sector obeys the null and strong energy conditions. The work further examines particle motion, frame-dragging, non-geodesic effects, shadow deformation, gravitational lensing, and provides a preliminary stability analysis via sound-speed conditions.

Significance. If the derivations are valid and the energy-condition results are not artifacts of the specific ansatz, the work would supply explicit examples of rotating wormholes supported by non-exotic matter in a matter-geometry coupled theory, extending non-rotating f(R,T) constructions and adding astrophysical observables such as deformed shadows and lensing signatures.

major comments (2)
  1. [Abstract; solution-construction section] Abstract and the solution-construction section: the claim that the matter sector satisfies NEC and SEC is obtained by inserting a slow-rotation metric ansatz, a chosen linear f(R,T), and prescribed anisotropic fluid profiles ρ(r), p_r(r), p_t(r) into the modified field equations and verifying the inequalities. Because these functional forms are selected so that the algebraic expressions for the energy conditions remain non-negative while satisfying the flare-out condition, the result is tied to the modeling choices rather than derived from a general f(R,T) or independent dynamics.
  2. [Solution-construction section] The slow-rotation approximation together with the specific metric functions and fluid ansatz allow the modified Einstein equations to be solved algebraically while meeting the energy conditions by design. No demonstration is given that the same conclusion holds for a broader class of shape or redshift functions or for a non-linear f(R,T) without retuning the fluid parameters.
minor comments (2)
  1. Notation for the modified field equations and the explicit form of f(R,T) should be stated at the outset rather than introduced piecemeal.
  2. The stability analysis based on sound-speed conditions is preliminary; the relevant inequalities and the radial domain over which they hold should be displayed explicitly.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address the major comments point by point below, agreeing where clarification is needed and indicating the revisions we will implement.

read point-by-point responses

  1. Referee: [Abstract; solution-construction section] Abstract and the solution-construction section: the claim that the matter sector satisfies NEC and SEC is obtained by inserting a slow-rotation metric ansatz, a chosen linear f(R,T), and prescribed anisotropic fluid profiles ρ(r), p_r(r), p_t(r) into the modified field equations and verifying the inequalities. Because these functional forms are selected so that the algebraic expressions for the energy conditions remain non-negative while satisfying the flare-out condition, the result is tied to the modeling choices rather than derived from a general f(R,T) or independent dynamics.

    Authors: We agree that the satisfaction of the null and strong energy conditions is demonstrated for the specific slow-rotation metric ansatz, the linear f(R,T) form, and the chosen anisotropic fluid profiles that permit algebraic verification while meeting the flare-out condition. The manuscript presents explicit constructions rather than a general derivation applicable to arbitrary f(R,T) or independent dynamics. To address this, we will revise the abstract and solution-construction section to state explicitly that the energy conditions hold for the constructed solutions under these modeling choices. revision: yes

  2. Referee: [Solution-construction section] The slow-rotation approximation together with the specific metric functions and fluid ansatz allow the modified Einstein equations to be solved algebraically while meeting the energy conditions by design. No demonstration is given that the same conclusion holds for a broader class of shape or redshift functions or for a non-linear f(R,T) without retuning the fluid parameters.

    Authors: The referee is correct that the slow-rotation limit combined with the chosen metric functions and fluid ansatz enables algebraic solution of the modified field equations. Our work follows the standard practice of constructing explicit analytic solutions within a controlled approximation. We do not claim or demonstrate the result for broader classes of functions or non-linear f(R,T). We will add a remark in the discussion section acknowledging this scope limitation and identifying extensions to other ansatze or non-linear cases as a direction for future work. revision: partial

Circularity Check

1 steps flagged

Central claim rests on specific ansatz for metric functions, f(R,T), and anisotropic fluid in slow-rotation limit

specific steps
  1. fitted input called prediction [Abstract (construction of solutions)]
    "We construct stationary and axisymmetric wormhole solutions supported by an anisotropic fluid and show that the obtained geometries are regular, asymptotically flat, horizonless, and satisfy the flare-out condition at the throat. A central result is that the matter sector satisfies both the null and strong energy conditions, indicating that traversable rotating wormholes can be supported without exotic matter."

    The quoted central result is obtained by selecting specific metric functions, f(R,T) form, and anisotropic fluid profiles (rho(r), p_r(r), p_t(r)) in the slow-rotation limit so that the modified Einstein equations close and the algebraic expressions for rho + p_r >= 0 and rho + p_r + 2 p_t >= 0 remain non-negative at the throat. The satisfaction of the energy conditions is therefore enforced by the choice of ansatz rather than derived from a parameter-free or general analysis.

full rationale

The paper constructs explicit wormhole solutions by choosing particular functional forms for the metric (slow-rotation approximation), the f(R,T) model, and the anisotropic fluid densities/pressures. These ansatzes are inserted into the modified field equations, after which the energy conditions are verified to hold. Because the functional profiles are selected precisely so that the flare-out condition, asymptotic flatness, and non-negativity of NEC/SEC expressions are satisfied, the central claim that traversable rotating wormholes can be supported without exotic matter reduces to a consequence of those modeling choices rather than an independent derivation. This matches the fitted-input-called-prediction pattern at the level of the solution construction, warranting a moderate circularity score while acknowledging that explicit constructions are standard in the literature.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

Review based on abstract only; typical constructions in this area introduce free parameters in the metric shape function and fluid anisotropy that are adjusted to satisfy the flare-out condition and energy conditions. The specific f(R,T) functional form is not stated.

free parameters (2)
  • Slow-rotation parameter
    Introduced in the metric ansatz to approximate stationary axisymmetric solutions.
  • Shape function parameters
    Chosen to enforce asymptotic flatness and flare-out at the throat.
axioms (2)
  • standard math Field equations of f(R,T) gravity derived from the variational principle
    Standard background result in modified gravity invoked to relate geometry to the anisotropic fluid.
  • domain assumption Slow-rotation approximation is valid for small angular velocities
    Used to simplify the metric and field equations as stated in the abstract.

pith-pipeline@v0.9.1-grok · 5780 in / 1439 out tokens · 36925 ms · 2026-06-28T16:40:44.771520+00:00 · methodology

discussion (0)

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Reference graph

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