Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-10-03
Int.J.Mod.Phys.D17:311-326,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, 7 figures, Accepted for publication in International Journal of Modern Physics D
Scientific paper
10.1142/S0218271808012024
After briefly reviewing the relativistic approach to positioning systems based on the introduction of the emission coordinates, we show how explicit maps can be obtained between the Cartesian coordinates and the emission coordinates, for suitably chosen set of emitters, whose world-lines are supposed to be known by the users. We consider Minkowski space-time and the space-time where a small inhomogeineity is introduced (i.e. a small "gravitational" field), both in 1+1 and 1+3 dimensions.
Luca Ruggiero Matteo
Tartaglia Angelo
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