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By Monica Colpi, Piergiorgio Casella, Vittorio Gorini, Ugo Moschella, Andrea Possenti

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Wolszczan, T. Damour, J. M. Weisberg: Experimental constraints on strong field relativistic gravity, Nature 355, 132 (1992). 41. I. H. Stairs, S. E. Thorsett, J. H. Taylor, A. Wolszczan: Studies of the relativistic binary pulsar PSR B1534+12: I. Timing analysis, Astrophys. J. 581, 501 (2002). 42. K. Nordtvedt: Equivalence principle for massive bodies. 2. Theory, Phys. Rev. 169, 1017 (1968). 43. T. Damour and G. Sch¨ afer: New tests of the strong equivalence principle using binary pulsar data, Phys.

57), and the dilaton-runaway scenario of Ref. [76] yields a coupling function of a decaying exponential type. , in the weak-field conditions appropriate to solar-system tests. It was shown in previous work that, if one uses appropriate units in the asymptotic region far from the system, namely units such that the asymptotic value a(ϕ0 ) of 24 Thibault Damour a(ϕ) vanishes17 , all observable quantities at the 1PN level depend only on the values of the first two derivatives of the a(ϕ) at ϕ = ϕ0 .

C. M. Will, D. M. Eardley: Astrophys. J. 212, L91 (1977). 9. T. Damour: Gravitational radiation and the motion of compact bodies, in Gravitational Radiation, edited by N. Deruelle and T. Piran, North-Holland, Amsterdam, pp. 59-144 (1983). 10. K. S. Thorne and J. B. Hartle: Laws of motion and precession for black holes and other bodies, Phys. Rev. D 31, 1815 (1984). 11. C. M. Will: Theory and Experiment in Gravitational Physics, Cambridge University Press (1993) 380 p. 12. V. A. Brumberg and S. M.

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