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arxiv: 2601.22340 · v2 · pith:SPBU7UNLnew · submitted 2026-01-29 · 🌀 gr-qc

Grey-body factors of higher dimensional regular black holes in quasi-topological theories

Juan Pablo Arbelaez This is my paper

Pith reviewed 2026-05-21 14:17 UTC · model grok-4.3

classification 🌀 gr-qc
keywords grey-body factorsHawking radiationregular black holesquasi-topological gravityhigher dimensionsblack hole evaporationmodified gravity
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0 comments X

The pith

Grey-body factors show that radiation from higher-dimensional regular black holes is significantly suppressed compared to singular black holes in general relativity.

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

This paper investigates grey-body factors and the resulting Hawking radiation for regular black holes in higher dimensions within quasi-topological gravity theories. These theories add infinite-curvature corrections that eliminate the central singularity but keep the event horizon and allow semiclassical calculations. The key finding is that transmission probabilities for radiation are lower, leading to reduced evaporation rates across all models studied. A reader might care because this suggests regular black holes lose mass more slowly through Hawking radiation than their singular counterparts. This difference arises from the modified spacetime geometry near the center.

Core claim

For all considered regular black hole models arising in quasi-topological gravity, the grey-body factors indicate that the transmission of radiation and the corresponding Hawking evaporation are significantly suppressed compared to the singular black hole solutions of General Relativity.

What carries the argument

Grey-body factors, which measure the fraction of radiation that escapes the black hole's potential barrier, computed for the regular spacetimes created by infinite-curvature corrections in quasi-topological gravity.

If this is right

  • The Hawking radiation spectrum is altered with lower emission rates.
  • Black hole evaporation proceeds more slowly for these regular solutions.
  • This suppression holds for higher-dimensional cases.
  • The semiclassical description remains applicable despite the modifications.

Where Pith is reading between the lines

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

  • Such suppression could mean regular black holes persist longer, potentially leaving stable remnants.
  • Future observations of Hawking radiation from primordial black holes might distinguish regular from singular models.
  • Similar calculations could be done in other modified gravity theories to test generality of the effect.

Load-bearing premise

Quasi-topological gravity theories can remove the central singularity with infinite-curvature corrections while preserving an event horizon and a valid semiclassical description for radiation calculations.

What would settle it

Computing the grey-body factor for a specific frequency mode in one of the regular models and finding it equal to or larger than the corresponding singular black hole case would challenge the suppression claim.

read the original abstract

We study grey-body factors and Hawking radiation of higher-dimensional regular black holes arising in quasi-topological gravity. These spacetimes incorporate infinite-curvature corrections that remove the central singularity while preserving an event horizon and a well-defined semiclassical description. We show that, for all considered regular black hole models, the transmission of radiation and the corresponding Hawking evaporation are significantly suppressed compared to the singular black hole solutions of General Relativity.

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 manuscript computes grey-body factors and Hawking radiation spectra for higher-dimensional regular black holes constructed in quasi-topological gravity. These spacetimes eliminate the central singularity through an infinite series of curvature corrections while retaining an event horizon. The central claim is that, across all models examined, the transmission probability for radiation and the associated Hawking evaporation rate are substantially lower than those of the corresponding singular black-hole solutions in general relativity.

Significance. If the suppression result is robust, the work would be significant because it supplies concrete evidence that singularity resolution via higher-curvature corrections can materially alter semiclassical evaporation properties in higher dimensions. This could affect estimates of black-hole lifetimes and open a window for distinguishing regular black holes from their singular counterparts through radiation signatures.

major comments (2)
  1. [§3.2] §3.2, Eq. (15): the radial wave equation for the perturbation is written in the standard Regge-Wheeler form on the fixed background metric. No derivation from the quasi-topological action is supplied to show that the infinite series of curvature invariants does not generate additional higher-derivative terms in the linearized equations, which would modify the effective potential and the resulting transmission coefficients. This assumption is load-bearing for the suppression claim.
  2. [§5] §5, Table 2: the reported grey-body factors and evaporation rates for the regular models are compared to the GR singular case, yet no quantitative assessment of numerical convergence or sensitivity to the truncation of the quasi-topological series is provided. Without such checks it is unclear whether the claimed suppression exceeds the uncertainty introduced by the regularization procedure itself.
minor comments (2)
  1. [§2] The definition of the quasi-topological coupling constants is introduced in §2 but their relation to the higher-dimensional Planck scale is not stated explicitly; a brief remark would improve readability.
  2. [Figure 3] Figure 3 caption refers to 'dimension d=5,6,7' while the axis labels use 'D'; consistent notation would avoid confusion.

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 each major point below and indicate the revisions we will make.

read point-by-point responses

  1. Referee: [§3.2] §3.2, Eq. (15): the radial wave equation for the perturbation is written in the standard Regge-Wheeler form on the fixed background metric. No derivation from the quasi-topological action is supplied to show that the infinite series of curvature invariants does not generate additional higher-derivative terms in the linearized equations, which would modify the effective potential and the resulting transmission coefficients. This assumption is load-bearing for the suppression claim.

    Authors: The grey-body factors are obtained from the propagation of minimally coupled test fields (scalar, electromagnetic, or gravitational) on the fixed background metric. The quasi-topological terms determine the regular metric functions but do not alter the form of the wave operator for these test fields, which remains the standard d'Alembertian. The resulting radial equation is therefore the usual Regge-Wheeler equation whose effective potential is fixed by the metric components alone. We will insert a short clarifying paragraph in §3.2 that states this reasoning explicitly. revision: yes

  2. Referee: [§5] §5, Table 2: the reported grey-body factors and evaporation rates for the regular models are compared to the GR singular case, yet no quantitative assessment of numerical convergence or sensitivity to the truncation of the quasi-topological series is provided. Without such checks it is unclear whether the claimed suppression exceeds the uncertainty introduced by the regularization procedure itself.

    Authors: We agree that explicit convergence tests would strengthen the numerical results. In the revised manuscript we will add a new subsection (or appendix) that recomputes selected grey-body factors and evaporation rates for increasing truncation orders of the quasi-topological series and shows that the reported suppression remains stable well beyond the orders used in the original tables. revision: yes

Circularity Check

0 steps flagged

No circularity; derivation follows from explicit wave-equation solution on given metrics

full rationale

The paper takes regular black-hole metrics constructed in quasi-topological gravity (with the central singularity removed by infinite-curvature corrections) as input, solves the standard radial wave equation for massless fields in the fixed background, extracts grey-body transmission probabilities, and compares the resulting Hawking spectra to those of singular GR black holes. No step redefines a quantity in terms of the target suppression result, fits a parameter to the evaporation rate, or invokes a self-citation to force uniqueness of the semiclassical treatment. The comparison is therefore an independent numerical/analytic output rather than a tautology, and the derivation remains self-contained against the external benchmark of the known GR grey-body factors.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard domain assumptions from general relativity and modified gravity rather than new free parameters or invented entities introduced in this work.

axioms (2)
  • domain assumption The semiclassical approximation applies to Hawking radiation in these regular black hole spacetimes.
    The abstract states a well-defined semiclassical description is preserved.
  • domain assumption Quasi-topological gravity incorporates infinite-curvature corrections that remove the central singularity while preserving an event horizon.
    Directly stated as the basis for the regular black hole models studied.

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Forward citations

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