Relative velocities for radial motion in expanding Robertson-Walker spacetimes

DOI10.1007/s10714-012-1344-5zbMath1243.83074arXiv1106.3859OpenAlexW2032834724MaRDI QIDQ431077

David Klein, Vicente J. Bolós

Publication date: 26 June 2012

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

Full work available at URL: https://arxiv.org/abs/1106.3859

zbMATH Keywords

Fermi coordinatesexpansion of spaceHubble flowoptical coordinatesrelative velocityRobertson-Walker cosmology

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (7)

On the kinetic recession velocities of astronomical objects ⋮ Maximal Fermi charts and geometry of inflationary universes ⋮ Coordinate-independent definition of relative velocity in pseudo-Riemannian space-time: implications for special cases ⋮ Pre-big bang geometric extensions of inflationary cosmologies ⋮ An algorithm for computing geometric relative velocities through Fermi and observational coordinates ⋮ A note on the computation of geometrically defined relative velocities ⋮ Velocity addition formulas in Robertson-Walker spacetimes

Cites Work

• Fermi coordinates, simultaneity, and expanding space in Robertson-Walker cosmologies
• Relativistic simultaneity and Causality
• Intrinsic definitions of ``relative velocity in general relativity
• Interior of a Schwarzschild black hole revisited
• Lightlike simultaneity, comoving observers and distances in general relativity.
• General transformation formulas for Fermi–Walker coordinates
• Exact Fermi coordinates for a class of space-times
• The covariance of GPS coordinates and frames
• Tidal dynamics in Kerr spacetime
• Note on Relativistic Mechanics

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