Solar and stellar system tests of the cosmological constant

Abstract

Some tests of gravity theories - periastron shift, geodetic precession, change in mean motion and gravitational redshift - are applied in solar and stellar systems to constrain the cosmological constant. We thus consider a length scale range from 10^8 to 10^{15} km. Best bounds from the solar system come from perihelion advance and change in mean motion of Earth and Mars, Lambda < 10^{-36} km^{-2}. Such a limit falls very short to estimates from observational cosmology analyses but a future experiment performing radio ranging observations of outer planets could improve it by four orders of magnitude. Beyond the solar system, together with future measurements of periastron advance in wide binary pulsars, gravitational redshift of white dwarfs can provide bounds competitive with Mars data.

arXiv comment4 pages; this is a preprint of an article accepted for publication in Physical Review D

References in corpus (15)

• Tests of the Gravitational Inverse-Square Law
• Progress in Lunar Laser Ranging Tests of Relativistic Gravity
• Study of the anomalous acceleration of Pioneer 10 and 11
• General Relativistic Geodetic Spin Precession in Binary Pulsar B1913+16: Mapping the Emission Beam in Two Dimensions
• Hubble Space Telescope Spectroscopy of the Balmer lines in Sirius B
• Standard Clocks, Orbital Precession and the Cosmological Constant
• Scales Set by the Cosmological Constant
• The bending of light and the cosmological constant
• Two-body problem with the cosmological constant and observational constraints
• Improved bounds on non-luminous matter in solar orbit
• Geodetic Precession in PSR J1141-6545
• The quiescent Hubble flow, local dark energy tests, and pairwise velocity dispersion in a $\Omega =1$ universe
• The Consistent Newtonian Limit of Einstein's Gravity with a Cosmological Constant
• Has Dark Energy really been discovered in the Lab?
• Equilibrium of large astrophysical structures in the Newton-Hooke spacetime

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