Intrinsic definitions of "relative velocity" in general relativity

Details Intrinsic definitions of "relative velocity" in general relativity Intrinsic definitions of "relative velocity" in general relativity

2005-06-06

arxiv.org/abs/gr-qc/0506032v5

Commun.Math.Phys.273:217-236,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, 12 figures. New proofs in special relativity and a new open problem in general relativity (see Remark 5.2). An Appen

Scientific paper

10.1007/s00220-007-0248-9

Given two observers, we define the "relative velocity" of one observer with respect to the other in four different ways. All four definitions are given intrinsically, i.e. independently of any coordinate system. Two of them are given in the framework of spacelike simultaneity and, analogously, the other two are given in the framework of observed (lightlike) simultaneity. Properties and physical interpretations are discussed. Finally, we study relations between them in special relativity, and we give some examples in Schwarzschild and Robertson-Walker spacetimes.

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