Solar System test for the existence of gravitational waves

Details Solar System test for the existence of gravitational waves Solar System test for the existence of gravitational waves

2003-01-09

arxiv.org/abs/gr-qc/0301033v1

Rom.Astron.J. 4 (1994) 23

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

Starting from a static spherically symmetric solution of the Einstein's field equations in the second approximation in the perfect fluid scheme, in the exterior of the source, the corresponding metrics depend on a dimensionless parameter $\alpha $ . Taking the Sun for the source, the influence of $\alpha $ on the classical Solar System tests of the general relativity is estimated, the only $\alpha $-dependent one being the Shapiro radar-echo delay experiment. Performing such a test in given conditions within a precision better than $10^{-2}$, it is possible to obtain an experimental value for $\alpha $ . If $\alpha =1$, the Einstein's equations in the weak field approximation take the D'Alembert form, which attests the existence of gravitational waves

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