Solar system effects in Schwarzschild de Sitter space time

By V. Kagramanova, Jutta Kunz, C. Lammerzahl. 2006

141 citations recorded by the source corpus.

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 = Λ 0 ∼ 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b3e8f302e174b987d10a123d5f7b6402d1d5c78e

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Citations in the corpus

Solar system constraints on f(T) gravity (2012, background): “…of solar system investigations (Islam (1983), Cardona & Tejeiro(1998), Kerr et al. (2003), Kraniotis & Whitehouse (2003), Jetzer & Sereno (2006), Kagramanova et al. (2006), Sereno & Jetzer (2006), Adkins et al. (2007b), Adkins et al. (2007a), Sereno & Jetzer (2007), Iorio (2006), Iorio (2008),…”
Influence of global cosmological expansion on local dynamics and kinematics (2008, methodology): “By the way, McVittie’s solutions contain the Schwarzschild–deSitter one as a special case, which was recently used in the literature to estimate the effects of cosmological expansion on local systems (Hackmann and Lämmerzahl, 2008c; Kagramanova et al., 2006).”