Complete classification of Friedmann–Lemaître–Robertson–Walker solutions with linear equation of state: parallelly propagated curvature singularities for general geodesics

DOI10.1088/1361-6382/ac776ezbMath1500.83038arXiv2110.13421OpenAlexW4281975028MaRDI QIDQ5090131

Takahisa Igata, Takuma Sato, Bernard Carr, Tomohiro Harada

Publication date: 15 July 2022

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13421

zbMATH Keywords

cosmologyexact solutionsspacetime singularitiescausal structure

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Conformal structures on manifolds (53C18) Causal inference from observational studies (62D20)

Related Items (3)

Thakurta metric does not describe a cosmological black hole ⋮ On the initial singularity and extendibility of flat quasi-de Sitter spacetimes ⋮ Asymptotic symmetries and memories of gauge theories in FLRW spacetimes

Cites Work

• Singularity theorems and their consequences
• Degeneracy of the \(b\)-boundary in general relativity
• Phantom Friedmann cosmologies and higher-order characteristics of expansion
• Maximal extensions and singularities in inflationary spacetimes
• Complete conformal classification of the Friedmann–Lemaître–Robertson–Walker solutions with a linear equation of state
• Exact Solutions of Einstein's Field Equations
• Stable gravastars—an alternative to black holes?
• Past extendibility and initial singularity in Friedmann-Lemaître-Robertson-Walker and Bianchi I spacetimes
• Cosmological Imprint of an Energy Component with General Equation of State
• The Large Scale Structure of Space-Time
• On Continued Gravitational Contraction
• General Relativity

This page was built for publication: Complete classification of Friedmann–Lemaître–Robertson–Walker solutions with linear equation of state: parallelly propagated curvature singularities for general geodesics