Closed-Form Canonical-Scalar Black Hole with de Sitter Core and Schwarzschild-(A)dS Exterior
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arXiv
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866914087901855744 |
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| author | Schürmann, Thomas |
| author_facet | Schürmann, Thomas |
| contents | Regular (non-singular) black holes with de Sitter cores are often constructed by prescribing effective mass functions or anisotropic vacuum fluids, or by invoking phantom scalars that violate energy conditions. Constructions with canonical self-interacting scalars in asymptotically flat spacetimes and inverse reconstruction schemes do exist, but they rarely produce a fully closed-form potential that smoothly matches a de Sitter core to a Schwarzschild-(A)dS exterior. Here we present a fully analytic, static, spherically symmetric solution of the Einstein-Klein-Gordon system with a minimally coupled canonical scalar. Working in a two-function metric gauge and adopting a simple monotone kink profile that interpolates between two vacuum energies, we reconstruct the scalar potential directly from the field equations; for zero mass parameter it reduces to a quintic polynomial in a natural interpolation variable. The resulting configuration is everywhere regular, fixes the redshift algebraically, requires neither thin shells nor modified gravity, and realizes a de Sitter core matched to a Schwarzschild-(A)dS exterior with explicitly characterizable horizons. This compact closed-form model furnishes a convenient analytic benchmark for studies of horizon structure, thermodynamics, stability, and AdS applications within a canonical matter sector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_02078 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Closed-Form Canonical-Scalar Black Hole with de Sitter Core and Schwarzschild-(A)dS Exterior Schürmann, Thomas General Physics Regular (non-singular) black holes with de Sitter cores are often constructed by prescribing effective mass functions or anisotropic vacuum fluids, or by invoking phantom scalars that violate energy conditions. Constructions with canonical self-interacting scalars in asymptotically flat spacetimes and inverse reconstruction schemes do exist, but they rarely produce a fully closed-form potential that smoothly matches a de Sitter core to a Schwarzschild-(A)dS exterior. Here we present a fully analytic, static, spherically symmetric solution of the Einstein-Klein-Gordon system with a minimally coupled canonical scalar. Working in a two-function metric gauge and adopting a simple monotone kink profile that interpolates between two vacuum energies, we reconstruct the scalar potential directly from the field equations; for zero mass parameter it reduces to a quintic polynomial in a natural interpolation variable. The resulting configuration is everywhere regular, fixes the redshift algebraically, requires neither thin shells nor modified gravity, and realizes a de Sitter core matched to a Schwarzschild-(A)dS exterior with explicitly characterizable horizons. This compact closed-form model furnishes a convenient analytic benchmark for studies of horizon structure, thermodynamics, stability, and AdS applications within a canonical matter sector. |
| title | Closed-Form Canonical-Scalar Black Hole with de Sitter Core and Schwarzschild-(A)dS Exterior |
| topic | General Physics |
| url | https://arxiv.org/abs/2001.02078 |