Model for gravity at large distances

Abstract

We construct an effective model for gravity of a central object at large scales. To leading order in the large radius expansion we find a cosmological constant, a Rindler acceleration, a term that sets the physical scales and subleading terms. All these terms are expected from general relativity, except for the Rindler term. The latter leads to an anomalous acceleration in geodesics of test-particles.

5 pages, 2 eps-figures, accepted in Phys. Rev. Lett., v2: corrected sign in (13) and below

References in corpus (16)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Particle Dark Matter: Evidence, Candidates and Constraints
• The Cosmological Constant
• Rotation Curves of Spiral Galaxies
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• Dilaton Gravity in Two Dimensions
• The dark and baryonic matter content of low surface brightness disk galaxies
• Alternatives to Dark Matter and Dark Energy
• Gauge Invariant Formulations of Lineal Gravity
• Quantum Gravity at Astrophysical Distances?
• The rotation curves of dwarf galaxies: a problem for Cold Dark Matter?
• Cosmological parameters are dressed
• Scalar-Tensor Quantum Gravity in Two Dimensions
• Combining rotation curves and gravitational lensing: How to measure the equation of state of dark matter in the galactic halo
• Could the Pioneer anomaly have a gravitational origin?

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• Generalization of Rindler Potential at Cluster Scales in Randers-Finslerian Spacetime: a Possible Explanation of the Bullet Cluster 1E0657-558?
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