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| Format: | Recurso digital |
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Zenodo
2025
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| Accès en ligne: | https://doi.org/10.5281/zenodo.17832240 |
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| _version_ | 1866901624066146304 |
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| author | hicks, Nicholas SOLOS Institute |
| author_facet | hicks, Nicholas SOLOS Institute |
| contents | <p> </p> <p>This paper presents a minimal field-theoretic derivation of regular black holes within the Harmonic Curvature Model (HCM). By augmenting General Relativity with a scalar field subject to a limiting-curvature potential $V(\Phi) \propto \ln(\cosh \Phi)$, we demonstrate that the energy-momentum tensor naturally saturates at high densities. This mechanism resolves the Schwarzschild singularity, replacing it with a stable de Sitter-like core. We derive the static spherically symmetric solution, proving it corresponds to a Hayward-like metric. Stability analysis confirms that the solution avoids ghost instabilities while violating the Strong Energy Condition as required for regularity. Thermodynamics analysis predicts the formation of zero-temperature remnants, and we identify distinct observational signatures, including expanded shadows and power-law ringdown tails, testable by LIGO O5+ and ngEHT.</p> <p>Keywords</p> <p>Regular Black Holes, Modified Gravity, Singularity Resolution, Scalar-Tensor Theory, Limiting Curvature, Gravitational Waves, Black Hole Thermodynamics, Black Hole Shadows</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17832240 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Regular Harmonic Black Holes: Derivation from a Limiting-Curvature Scalar Action hicks, Nicholas SOLOS Institute <p> </p> <p>This paper presents a minimal field-theoretic derivation of regular black holes within the Harmonic Curvature Model (HCM). By augmenting General Relativity with a scalar field subject to a limiting-curvature potential $V(\Phi) \propto \ln(\cosh \Phi)$, we demonstrate that the energy-momentum tensor naturally saturates at high densities. This mechanism resolves the Schwarzschild singularity, replacing it with a stable de Sitter-like core. We derive the static spherically symmetric solution, proving it corresponds to a Hayward-like metric. Stability analysis confirms that the solution avoids ghost instabilities while violating the Strong Energy Condition as required for regularity. Thermodynamics analysis predicts the formation of zero-temperature remnants, and we identify distinct observational signatures, including expanded shadows and power-law ringdown tails, testable by LIGO O5+ and ngEHT.</p> <p>Keywords</p> <p>Regular Black Holes, Modified Gravity, Singularity Resolution, Scalar-Tensor Theory, Limiting Curvature, Gravitational Waves, Black Hole Thermodynamics, Black Hole Shadows</p> |
| title | Regular Harmonic Black Holes: Derivation from a Limiting-Curvature Scalar Action |
| url | https://doi.org/10.5281/zenodo.17832240 |