Ricci fall-off in static and stationary non-singular spacetimes, revisited: the null geodesic method

DOI10.1007/s10714-023-03064-0zbMath1528.83097OpenAlexW4317605783MaRDI QIDQ6132936

David Garfinkle, Stacey G. Harris

Publication date: 15 July 2023

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

Full work available at URL: https://doi.org/10.1007/s10714-023-03064-0

zbMATH Keywords

stationarystaticsingularity theoremnull energy conditionRicci fall-off

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Space-time singularities, cosmic censorship, etc. (83C75) Geodesics in global differential geometry (53C22) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Static- and stationary-complete spacetimes: algebraic and causal structures
• The classification of the Ricci tensor in general relativity theory
• Ricci fall-off in static and stationary, globally hyperbolic, non-singular spacetimes
• Gravitational Collapse and Space-Time Singularities
• The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities
• A Method for Generating Solutions of Einstein's Equations
• The Large Scale Structure of Space-Time

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