NDLI: Relative velocities for radial motion in expanding Robertson-Walker spacetimes

Content Provider	Springer Nature Link
Author	Bolós, Vicente J. Klein, David
Copyright Year	2012
Abstract	The expansion of space, and other geometric properties of cosmological models, can be studied using geometrically defined notions of relative velocity. In this paper, we consider test particles undergoing radial motion relative to comoving (geodesic) observers in Robertson-Walker cosmologies, whose scale factors are increasing functions of cosmological time. Analytical and numerical comparisons of the Fermi, kinematic, astrometric, and the spectroscopic relative velocities of test particles are given under general circumstances. Examples include recessional comoving test particles in the de Sitter universe, the radiation-dominated universe, and the matter-dominated universe. Three distinct coordinate charts, each with different notions of simultaneity, are employed in the calculations. It is shown that the astrometric relative velocity of a radially receding test particle cannot be superluminal in any expanding Robertson-Walker spacetime. However, necessary and sufficient conditions are given for the existence of superluminal Fermi speeds, and it is shown how the four concepts of relative velocity determine geometric properties of the spacetime.
Starting Page	1361
Ending Page	1391
Page Count	31
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	44
Issue Number	6
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2012-02-25
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Robertson-Walker cosmology Relative velocity Fermi coordinates Optical coordinates Hubble flow Expansion of space Classical and Quantum Gravitation, Relativity Theory Cosmology Quantum Physics Astronomy, Astrophysics and Cosmology Theoretical, Mathematical and Computational Physics Differential Geometry
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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