On the Polynomial Degeneracy of Ricci Invariants and Spacetime Singularity
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912542689853440 |
|---|---|
| author | Chakrabarti, Soumya |
| author_facet | Chakrabarti, Soumya |
| contents | We explore the connection of a general relativistic matter-energy momentum tensor with the polynomial degeneracies of higher order curvature invariants defined in Riemannian geometry. The degeneracies enforce additional constraints on the energy-momentum tensor components. Due to these constraints the formation of a curvature singularity, for instance during a gravitational collapse can no longer be treated as inevitable. We find that there can be a formation of singularity iff the interior fluid evolves into (i) a pressure-less dust, (ii) an isotropic sphere or (iii) a distribution with negative pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02903 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Polynomial Degeneracy of Ricci Invariants and Spacetime Singularity Chakrabarti, Soumya General Relativity and Quantum Cosmology Mathematical Physics We explore the connection of a general relativistic matter-energy momentum tensor with the polynomial degeneracies of higher order curvature invariants defined in Riemannian geometry. The degeneracies enforce additional constraints on the energy-momentum tensor components. Due to these constraints the formation of a curvature singularity, for instance during a gravitational collapse can no longer be treated as inevitable. We find that there can be a formation of singularity iff the interior fluid evolves into (i) a pressure-less dust, (ii) an isotropic sphere or (iii) a distribution with negative pressure. |
| title | On the Polynomial Degeneracy of Ricci Invariants and Spacetime Singularity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2501.02903 |