Three Key Tests to Gravity

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Three presumably unrelated open questions concerning gravity and the structure of the Universe are here discussed: 1) To which extent is Lorentz invariance an exact symmetry ? 2) What is the equation of state of the Universe ? 3) What is the origin of the so-called Pioneer anomaly ?
Latex 8 pages plus moriond.sty. Talk presented at the Rencontres de Moriond, Gravitational Waves and Experimental Gravity, Les Arcs, France, March 2003

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