Stress and Geometry for Isotropic Singularities

Autor: Gover, A. Rod, Kopiński, Jarosław, Waldron, Andrew
Rok vydání: 2023
Předmět:
Zdroj: Phys. Rev. Lett. 133, 011401 2024
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.133.011401
Popis: 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.
Comment: 6 pages, LaTeX, minor corrections
Databáze: arXiv