Solar System test for the existence of gravitational waves
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 $α$ . Taking the Sun for the source, the influence of $α$ on the classical Solar System tests of the general relativity is estimated, the only $α$-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 $α$ . If $α=1$, the Einstein's equations in the weak field approximation take the D'Alembert form, which attests the existence of gravitational waves
gr-qc↗