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.
Bouhmadi-L´ opez, C.-Y
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A constructive algorithm yields NEC-obeying static spherical metrics with g_tt g_rr = -1, including a log-corrected Schwarzschild geometry that can mimic black holes.
A Gaussian three-form dark-energy model is viable and mildly preferred over ΛCDM only for the tensioned CMB+BAO+Pantheon+SH0ES combination, with a phantom dip at intermediate redshifts.
Hairy black hole shadows and disks grow with horizon scalar value but can mimic Schwarzschild by adjusting horizon radius, with the potential parameter Lambda constrained by supermassive black hole observations.
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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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Energy conditions in static, spherically symmetric spacetimes and effective geometries
A constructive algorithm yields NEC-obeying static spherical metrics with g_tt g_rr = -1, including a log-corrected Schwarzschild geometry that can mimic black holes.
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Three-form dark energy: constraints and multi-probe comparison with $\Lambda$CDM
A Gaussian three-form dark-energy model is viable and mildly preferred over ΛCDM only for the tensioned CMB+BAO+Pantheon+SH0ES combination, with a phantom dip at intermediate redshifts.
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Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential
Hairy black hole shadows and disks grow with horizon scalar value but can mimic Schwarzschild by adjusting horizon radius, with the potential parameter Lambda constrained by supermassive black hole observations.