Solar system effects in Schwarzschild-de Sitter space-time

摘要

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.