Stress and Geometry for Isotropic Singularities
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929406982750208 |
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| author | Gover, A. Rod Kopiński, Jarosław Waldron, Andrew |
| author_facet | Gover, A. Rod Kopiński, Jarosław Waldron, Andrew |
| contents | We develop the mathematics needed to treat the interaction of geometry and stress at any isotropic spacetime singularity. This enables us to handle the Einstein equations at the initial singularity and characterize allowed general relativistic stress-energy tensors. Their leading behaviors are dictated by an initial hypersurface conformal embedding. We also show that an isotropic Big Bang determines a canonical non-singular metric on and about the initial hypersurface as well as a cosmological time. This assigns a volume and energy to the initial point singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19269 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stress and Geometry for Isotropic Singularities Gover, A. Rod Kopiński, Jarosław Waldron, Andrew General Relativity and Quantum Cosmology We develop the mathematics needed to treat the interaction of geometry and stress at any isotropic spacetime singularity. This enables us to handle the Einstein equations at the initial singularity and characterize allowed general relativistic stress-energy tensors. Their leading behaviors are dictated by an initial hypersurface conformal embedding. We also show that an isotropic Big Bang determines a canonical non-singular metric on and about the initial hypersurface as well as a cosmological time. This assigns a volume and energy to the initial point singularity. |
| title | Stress and Geometry for Isotropic Singularities |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2310.19269 |