A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
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gr-qc 3years
2026 3roles
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Bardeen-like black holes produce ℓ-dependent corrections to weak-field deflection and strong-field lensing observables that remain consistent with observations but may distinguish them from Schwarzschild black holes.
Hayward-like black holes produce modified strong-field lensing observables including angular separations, flux ratios, and time delays relative to Schwarzschild, though these remain consistent with existing data for Sgr A* and M87*.
citing papers explorer
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Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
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Distinguish Bardeen-like black holes by Gravitational lensing
Bardeen-like black holes produce ℓ-dependent corrections to weak-field deflection and strong-field lensing observables that remain consistent with observations but may distinguish them from Schwarzschild black holes.
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Gravitational Lensing Signatures of Hayward-like Black Holes
Hayward-like black holes produce modified strong-field lensing observables including angular separations, flux ratios, and time delays relative to Schwarzschild, though these remain consistent with existing data for Sgr A* and M87*.