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Solar System test for the existence of gravitational waves

2003/01/09 by Nicholas Ionescu-Pallas, Marius I. Piso, Silvia Onofrei
Physics and Astronomy · #gr-qc #astro-ph #physics.space-ph

paper · pdf

published as Rom.Astron.J. 4 (1994) 23

arxiv created 2003/01/09 · arxiv updated 2009/11/30

Abstract

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

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