On the asymptotic assumptions for Milne-like spacetimes

DOI10.1007/s10714-023-03102-xzbMath1528.83147arXiv2208.07786MaRDI QIDQ6174858

Annachiara Piubello, Eric Ling

Publication date: 15 July 2023

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.07786

zbMATH Keywords

asymptoticsbig bangMilnespacetime extensions

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Geometrodynamics and the holographic principle (83E05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Minkowski geometries in nonlinear incidence geometry (51B20) Real analysis on time scales or measure chains (26E70) Special bases (entangled, mutual unbiased, etc.) (81P55)

Related Items (2)

On the initial singularity and extendibility of flat quasi-de Sitter spacetimes ⋮ Tadpole cosmology: Milne solution as a cosmological constant hideout

Cites Work

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• Global hyperbolicity for spacetimes with continuous metrics
• Aspects of \(C^0\) causal theory
• The Hawking-Penrose singularity theorem for \(C^{1,1}\)-Lorentzian metrics
• Some remarks on the \(C^0\)-(in)extendibility of spacetimes
• The \(C^0\)-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry
• Timelike completeness as an obstruction to \(C^{0}\)-extensions
• Lorentzian length spaces
• A note on the Gannon-Lee theorem
• A Lorentzian analog for Hausdorff dimension and measure
• Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes
• The big bang is a coordinate singularity for \(k = -1\) inflationary FLRW spacetimes
• Singularity theorems for \(C^1\)-Lorentzian metrics
• Some regularity results for Lorentz-Finsler spaces
• Causal bubbles in globally hyperbolic spacetimes
• Null distance on a spacetime
• On Lorentzian causality with continuous metrics
• Maximizers in Lipschitz spacetimes are either timelike or null
• The Penrose singularity theorem in regularity C ^1,1
• Past extendibility and initial singularity in Friedmann-Lemaître-Robertson-Walker and Bianchi I spacetimes
• On the causal hierarchy of Lorentzian length spaces
• Causality theory of spacetimes with continuous Lorentzian metrics revisited
• Causality theory for closed cone structures with applications
• Hawking’s singularity theorem for C ^1,1 -metrics
• The Large Scale Structure of Space-Time
• Low regularity extensions beyond Cauchy horizons
• General Relativity

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