What does this research mean for the field?

Supplementing the Hayward black hole mass profile with a phenomenological short-distance suppression factor produces an asymptotically flat metric with bounded central curvature and strongly correlated optical and spectral quantities. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

Investigate the extremality boundaries, curvature regularity, energy conditions, and perturbation spectra of an asymptotically flat black hole metric combining a Hayward profile with a phenomenological short-distance suppression factor.

September 8, 2026Scientific ReportsOpen Access

Two scale black holes with a phenomenological suppression profile: extremality, null critical curves, and test field spectra

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Investigate the extremality boundaries, curvature regularity, energy conditions, and perturbation spectra of an asymptotically flat black hole metric combining a Hayward profile with a phenomenological short-distance suppression factor.
Derived the exact extremal boundaries, effective Einstein source, and curvature invariants for the two-scale spacetime.
Computed exterior null critical curves and fundamental scalar and electromagnetic test field modes using third-order WKB approximations, time-domain simulations, and Chebyshev pseudospectral methods.
Conducted a logarithmic response analysis to quantify parameter sensitivity and assess correlations between optical and spectral properties.
Ricci and Kretschmann scalars vanish at the center for nonzero suppression lengths, keeping orthonormal curvature components bounded with a local C4 Cartesian metric extension.
Mode frequencies matched across calculation frameworks, with maximum differences relative to pseudospectral frequencies of 0.22% for the third-order WKB method and 0.48% for time-domain evolution.
Optical observables and spectral quantities remain strongly correlated across the explored parameter space.

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Implication

Theoretical analysis reveals regular central curvature and correlated test field spectra in two-scale black holes, suggesting robust observational signatures for modified core models.

Cite This Study

Pradhan et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd78a58e84d0ff5b464e6 https://doi.org/10.1038/s41598-026-69947-9

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Implication

Theoretical analysis reveals regular central curvature and correlated test field spectra in two-scale black holes, suggesting robust observational signatures for modified core models.

Two scale black holes with a phenomenological suppression profile: extremality, null critical curves, and test field spectra

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Discussion

Implication

Cite This Study

Two scale black holes with a phenomenological suppression profile: extremality, null critical curves, and test field spectra

Key Points

Discussion

Implication

Cite This Study

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