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arxiv: 2606.08631 · v1 · pith:NUAE4EN2new · submitted 2026-06-07 · 🌀 gr-qc

Hawking Radiation from the Dymnikova Regular Black Hole

Milena Skvortsova This is my paper

Pith reviewed 2026-06-27 18:01 UTC · model grok-4.3

classification 🌀 gr-qc
keywords Hawking radiationDymnikova black holeregular black holesgreybody factorsblack hole evaporationextremal remnantfermion dominance
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The pith

The Dymnikova regular black hole's Hawking temperature falls rapidly near its cold remnant, suppressing luminosity and leaving fermion-dominated residual flux.

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

The paper calculates greybody factors for photons, light fermions, and gravitons on the Dymnikova background and uses them to track an adiabatic evaporation history. Transmission probabilities stay close to the Schwarzschild values, but the temperature drops sharply as the geometry nears the extremal remnant. This temperature drop quenches the total power output, causing all channels to fade while the photon channel is suppressed more than the fermion channel. The result is that the late-stage massless flux becomes increasingly fermion dominated, and the black hole reaches the remnant state only asymptotically.

Core claim

In the Dymnikova regular black hole the greybody factors of Standard Model fields and gravitons change only modestly as the geometry approaches the remnant, yet the rapid decrease of the Hawking temperature strongly suppresses the total luminosity; the photon, light-fermion and graviton channels all fade near the endpoint, the gravitational contribution remains subdominant, and the residual massless flux becomes increasingly fermion dominated because the photon channel is suppressed more efficiently.

What carries the argument

The Dymnikova metric with its de Sitter core and cold extremal remnant, together with the numerically computed greybody factors that determine the emission spectra at each stage of the adiabatic evaporation.

If this is right

  • Lifetime estimates are cutoff times to near-extremal configurations rather than complete evaporation times.
  • The gravitational channel stays subdominant throughout the evaporation.
  • The photon channel is suppressed more efficiently than the fermion channels near the endpoint.
  • The residual massless flux is increasingly fermion dominated as the black hole cools.

Where Pith is reading between the lines

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

  • Similar temperature-driven suppression may appear in other regular black-hole models that end at cold remnants.
  • Late-time Hawking spectra from any such objects would show a relative excess of fermions over photons.
  • If primordial black holes of this type exist, their final stages could leave a detectable fermion excess in cosmic backgrounds.
  • The test-field treatment leaves open whether back-reaction can prevent the geometry from reaching the zero-temperature limit.

Load-bearing premise

The background geometry is held fixed in the test-field approximation and the metric is assumed to terminate in a cold extremal remnant whose temperature approaches zero asymptotically.

What would settle it

A calculation that includes back-reaction and shows the temperature stabilizing at a finite nonzero value instead of continuing to zero would falsify the suppression picture.

Figures

Figures reproduced from arXiv: 2606.08631 by Milena Skvortsova.

Figure 1
Figure 1. Figure 1: FIG. 1. Outer horizon radius and Hawking temperature for the Dymnikova black hole in units [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Metric function and representative effective potentials for the Schwarzschild case and the near-extremal Dymnikova [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Direct numerical greybody factors for electromagnetic and massless Dirac fields and for the gravitational axial-potential [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Direct, first-order WKB and third-order WKB greybody factors at [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Signed WKB residuals relative to the direct-integration greybody factors at [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Hawking energy-emission spectra for the Dymnikova black hole in units [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
read the original abstract

We study Hawking radiation of the Dymnikova regular black hole. This model replaces the central singularity by a smooth de Sitter core while remaining Schwarzschild-like far from the hole, and its black-hole branch ends in a cold extremal remnant. We compute the greybody factors of the Standard Model test fields and gravitons, compare the precise numerical scattering results with WKB estimates, and use the resulting spectra to estimate an adiabatic evaporation history. The main effect is not a dramatic change in the transmission probabilities: the greybody thresholds move only slightly as the geometry approaches the remnant. Instead, the rapid decrease of the Hawking temperature strongly suppresses the total luminosity. The photon, light-fermion and graviton channels all fade near the endpoint, with the gravitational contribution remaining subdominant. The residual massless flux becomes increasingly fermion dominated because the photon channel is suppressed more efficiently. The black hole approaches the cold remnant only asymptotically, so the quoted lifetime estimates should be interpreted as cutoff times to near-extremal configurations rather than as complete evaporation times.

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 computes greybody factors for photons, light fermions, and gravitons on the Dymnikova regular black hole using direct numerical scattering and WKB approximation. These are then used to construct an adiabatic evaporation history, showing that the dominant effect is strong suppression of total luminosity by the rapidly falling Hawking temperature as the geometry approaches a cold extremal remnant; the residual massless flux becomes increasingly fermion-dominated while the graviton channel remains subdominant. Lifetime estimates are presented as cutoff times to near-extremal states rather than complete evaporation.

Significance. If the numerical results hold, the work supplies concrete, field-by-field spectra for a regular black-hole model that terminates in a zero-temperature remnant, demonstrating that transmission probabilities change only modestly while temperature suppression dominates the late-time behavior. The direct numerical versus WKB comparison and the explicit caveat on cutoff times are strengths that make the channel-dominance claim falsifiable within the test-field framework.

minor comments (2)
  1. [Abstract] The abstract states that greybody thresholds move only slightly, but without a quantitative measure (e.g., shift in peak frequency or integrated transmission) it is difficult to judge how 'slight' the change is relative to the temperature effect.
  2. The manuscript should state the numerical convergence criteria, grid resolution, and error estimates for the scattering solutions, as these directly affect the reliability of the reported luminosity suppression.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive and accurate summary of our manuscript on Hawking radiation from the Dymnikova regular black hole. The assessment correctly identifies the central result that temperature suppression dominates over changes in greybody factors, with the residual flux becoming fermion-dominated. We appreciate the recognition of the numerical-WKB comparison and the explicit treatment of cutoff times as a strength. The recommendation for minor revision is noted and will be followed.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The derivation consists of solving the wave equations for test fields and gravitons on the fixed Dymnikova background to obtain greybody factors (numerically and via WKB), then integrating the resulting spectra against the Hawking temperature to obtain luminosity and evaporation estimates. These steps are direct computations from the metric and the standard Hawking formula; no parameter is fitted to a subset of the output and re-labeled as a prediction, no self-citation supplies a load-bearing uniqueness theorem, and the geometry is prescribed rather than derived from the radiation calculation itself. The manuscript explicitly notes that the lifetime figures are cutoff times to near-extremal states, confirming that the reported channel suppression follows from the input metric and temperature without circular reduction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of the Dymnikova metric (taken from prior literature) and the test-field approximation on a fixed background; no free parameters or new entities are introduced in the abstract.

axioms (2)
  • domain assumption The Dymnikova metric is a valid regular black-hole geometry that is Schwarzschild-like at large distances and ends in a cold extremal remnant.
    The model is adopted without re-derivation.
  • domain assumption Test fields propagate on a fixed background without significant back-reaction until near the remnant.
    Standard semiclassical assumption invoked for the greybody calculation.

pith-pipeline@v0.9.1-grok · 5704 in / 1241 out tokens · 19957 ms · 2026-06-27T18:01:29.893612+00:00 · methodology

discussion (0)

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Reference graph

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