Solar system effects in Schwarzschild-de Sitter space-time

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Abstract

The Schwarzschild-de Sitter space-time describes the gravitational field of a spherically symmetric mass in a universe with cosmological constant Λ. 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 Λ on a Doppler measurement, used to determine the velocity of the Pioneer 10 and 11 spacecraft. For Λ=Λ0∼10-52 m-2 the cosmological constant plays no role for all of these effects, while a value of Λ∼-10-37 m-2, if hypothetically held responsible for the Pioneer anomaly, is not compatible with the perihelion shift. © 2006 Elsevier B.V. All rights reserved.

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Kagramanova, V., Kunz, J., & Lämmerzahl, C. (2006). Solar system effects in Schwarzschild-de Sitter space-time. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 634(5–6), 465–470. https://doi.org/10.1016/j.physletb.2006.01.069

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