Pierre Teyssandier and Christophe Le Poncin-Lafitte 2008 Class. Quantum Grav. 25 145020 doi:10.1088/0264-9381/25/14/145020
Pierre Teyssandier1 and Christophe Le Poncin-Lafitte1,2
Show affiliationsModeling 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.
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
Issue 14 (21 July 2008)
Received 22 April 2008, in final form 29 May 2008
Published 30 June 2008
Pierre Teyssandier and Christophe Le Poncin-Lafitte 2008 Class. Quantum Grav. 25 145020
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