Journal
PHYSICS LETTERS B
Volume 634, Issue 5-6, Pages 465-470Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2006.01.069
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The Schwarzschild-de Sitter space-time describes the gravitational field of a spherically symmetric mass in a universe with cosmological constant A. Based on this space-time we calculate Solar system effects like gravitational redshift, light deflection, gravitational time delay, perihelion shift, geodetic or de Sitter precession, as well as the influence of Lambda on a Doppler measurement, used to determine the velocity of the Pioneer 10 and 11 spacecraft. For Lambda = Lambda(0) similar to 10(-52) m(-2) the cosmological constant plays no role for all of these effects, while a value of Lambda similar to -10(-37) m(-2), if hypothetically held responsible for the Pioneer anomaly, is not compatible with the perihelion shift. (c) 2006 Elsevier B.V. All rights reserved.
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