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Article Dans Une Revue Classical and Quantum Gravity Année : 2008

General post-Minkowskian expansion of time transfer functions

Résumé

Modeling most of the tests of general relativity requires us to know the function relating light travel time to the coordinate time of reception and to the spatial coordinates of the emitter and the receiver. We call such a function the reception time transfer function. Of course, an emission time transfer function may as well be considered. We present here a recursive procedure enabling us to expand each time transfer function into a perturbative series of ascending powers of the Newtonian gravitational constant G (general post-Minkowskian expansion). Our method is self-sufficient in the sense that neither the integration of null geodesic equations nor the determination of Synge's world function is necessary. To illustrate the method, the time transfer function of a three-parameter family of static, spherically symmetric metrics is derived within the post-linear approximation.

Dates et versions

hal-03785793 , version 1 (23-09-2022)

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Pierre Teyssandier, Christophe Le Poncin-Laffite. General post-Minkowskian expansion of time transfer functions. Classical and Quantum Gravity, 2008, 25, pp.5020. ⟨10.1088/0264-9381/25/14/145020⟩. ⟨hal-03785793⟩
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