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arxiv: 2605.26360 · v1 · pith:3ZMRGFOFnew · submitted 2026-05-25 · ✦ hep-th

Torsional black holes and wormholes in Einstein-Cartan-Maxwell gravity with a conformal scalar field

Luis Avil\'es , Omar Valdivia , Rodolfo V\'eliz , Carlos Vera This is my paper

Pith reviewed 2026-06-29 20:09 UTC · model grok-4.3

classification ✦ hep-th
keywords torsional black holeswormholesEinstein-Cartan gravityconformal scalar fielddynamical torsionWeyl transformationsexact solutionsregular black holes
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The pith

A one-parameter extension of Weyl transformations in first-order gravity introduces dynamical torsion into a conformally coupled scalar sector, producing exact static black hole and wormhole solutions in Einstein-Cartan-Maxwell theory.

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

The paper constructs a deformed version of Weyl symmetry that works in first-order gravity and naturally includes a dynamical torsion field together with a conformally coupled scalar. This deformation recovers the familiar torsion-free conformal coupling when the free parameter is set to one. The resulting theory is applied to Einstein-Cartan-Maxwell gravity, where exact static solutions are found in both asymptotically flat and locally AdS spacetimes. These solutions encompass scalar-dressed black holes, regular black holes, and traversable wormholes, with torsion acting to smooth the scalar profile and, in some cases, the geometry itself. In the AdS sector, topological black holes appear only when a nonzero electric charge is present.

Core claim

We formulate a one-parameter extension of Weyl transformations in first-order gravity and show that it defines a conformally coupled scalar sector with dynamical torsion. The construction reduces to the standard torsionless conformal coupling in the limit λ→1. In the corresponding Einstein-Cartan-Maxwell theory, we derive exact static solutions in asymptotically flat and asymptotically locally AdS spacetimes. These solutions describe scalar-dressed black holes, regular black holes, and traversable wormholes, depending on the values of the integration constants and of the deformation parameter. We show that torsion can regularize the scalar field and, for suitable branches, also improve the g

What carries the argument

The one-parameter extension of Weyl transformations in first-order gravity, which generates a consistent conformally coupled scalar sector that carries dynamical torsion.

If this is right

  • Exact static solutions exist describing scalar-dressed black holes, regular black holes, and traversable wormholes in asymptotically flat and locally AdS spacetimes.
  • Torsion regularizes the scalar field and, for suitable branches, improves the geometric singularity structure.
  • In the AdS sector, topological black holes require a nonvanishing electric charge.
  • The character of each solution depends on the values of the integration constants together with the deformation parameter.

Where Pith is reading between the lines

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

  • The same deformation could be tested for consistency when additional matter fields or time-dependent configurations are included.
  • The observed regularization of singularities by torsion suggests possible links to other torsion-based approaches to singularity resolution.
  • The requirement of electric charge for AdS topological black holes may constrain the allowed asymptotic charges in related holographic models.

Load-bearing premise

The one-parameter extension of Weyl transformations defines a consistent conformally coupled scalar sector with dynamical torsion that admits exact static solutions in the Einstein-Cartan-Maxwell theory.

What would settle it

Substituting the proposed metric, scalar, and torsion ansätze into the field equations obtained from the extended action and checking whether they hold identically for λ ≠ 1 and generic integration constants.

read the original abstract

We formulate a one-parameter extension of Weyl transformations in first-order gravity and show that it defines a conformally coupled scalar sector with dynamical torsion. The construction reduces to the standard torsionless conformal coupling in the limit $\lambda\to 1$. In the corresponding Einstein-Cartan-Maxwell theory, we derive exact static solutions in asymptotically flat and asymptotically locally AdS spacetimes. These solutions describe scalar-dressed black holes, regular black holes, and traversable wormholes, depending on the values of the integration constants and of the deformation parameter. We show that torsion can regularize the scalar field and, for suitable branches, also improve the geometric singularity structure. In the AdS sector, the existence of topological black holes requires a nonvanishing electric charge. These results provide new exact examples of regular and torsional configurations in four-dimensional gravity.

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 / 2 minor

Summary. The paper formulates a one-parameter extension of Weyl transformations in first-order gravity, defining a conformally coupled scalar sector with dynamical torsion that reduces to the standard torsionless case when λ approaches 1. In the Einstein-Cartan-Maxwell theory, exact static solutions are derived in asymptotically flat and asymptotically locally AdS spacetimes. These solutions include scalar-dressed black holes, regular black holes, and traversable wormholes, with torsion regularizing the scalar field and improving the geometric singularity structure. In the AdS sector, topological black holes require nonvanishing electric charge.

Significance. This work is significant as it provides new exact solutions in a theory combining torsion, conformal scalar fields, and Maxwell fields. Exact solutions of this type are valuable for exploring regular black holes and wormholes in four-dimensional gravity, offering insights into singularity resolution. The construction from the extended Weyl transformation and the explicit limit to the standard case are strengths of the paper. The derivation of solutions without additional ad-hoc assumptions beyond the deformation parameter λ is noteworthy.

minor comments (2)
  1. [Abstract] The abstract could briefly indicate the integration technique or ansatz used to obtain the exact solutions, to better orient the reader.
  2. [AdS sector] In the discussion of the AdS topological black holes, the requirement of nonvanishing electric charge should be cross-referenced to the specific field equations or integration constants that enforce it.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive summary of our work and for recommending minor revision. We are pleased that the construction via the one-parameter extension of Weyl transformations, the exact solutions, and their potential for singularity resolution are viewed as strengths.

Circularity Check

0 steps flagged

No significant circularity; derivation proceeds from explicit construction to solutions

full rationale

The paper defines a one-parameter extension of Weyl transformations in first-order gravity, demonstrates that it yields a conformally coupled scalar sector with dynamical torsion (reducing to the standard torsionless case at λ=1), and then integrates the resulting Einstein-Cartan-Maxwell equations to obtain exact static solutions. No load-bearing step reduces by construction to its own inputs, no fitted parameters are relabeled as predictions, and no self-citation chain is invoked to justify the central premise. The solutions (scalar-dressed BHs, regular BHs, wormholes) are presented as direct consequences of the field equations under the stated ansatz, with the construction self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard framework of Einstein-Cartan gravity plus the validity of the introduced one-parameter extension; no free parameters beyond the deformation parameter are identified in the abstract.

free parameters (1)
  • deformation parameter λ
    One-parameter extension of Weyl transformations; recovers standard torsionless conformal coupling at λ=1.
axioms (1)
  • domain assumption Einstein-Cartan theory with Maxwell field and conformal scalar is a consistent first-order gravity framework
    The entire construction is built upon this theory as the background for the extension.

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