Coordinate-independent definition of relative velocity in pseudo-Riemannian space-time: implications for special cases

DOI10.1134/s0202289323010103zbMath1527.83171OpenAlexW4362576495MaRDI QIDQ6161680

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Publication date: 27 June 2023

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0202289323010103

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Diffraction, scattering (78A45) Observational and experimental questions in relativity and gravitational theory (83B05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Galactic and stellar dynamics (85A05) Minkowski geometries in nonlinear incidence geometry (51B20)

Cites Work

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• Relative velocities for radial motion in expanding Robertson-Walker spacetimes
• Fermi coordinates, simultaneity, and expanding space in Robertson-Walker cosmologies
• Relativistic simultaneity and Causality
• On the kinetic recession velocities of astronomical objects
• Intrinsic definitions of ``relative velocity in general relativity
• Lightlike simultaneity, comoving observers and distances in general relativity.
• Cosmological Physics
• No superluminal expansion of the universe
• Kinematics and World-Structure
• On Milne's Theory of World-Structure^*

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