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- Title
General models of Einstein gravity with a non-Newtonian weak-field limit.
- Authors
Mariano Cadoni; Marcello Casula
- Abstract
Abstract  We investigate Einstein theories of gravity, coupled to a scalar field $${\varphi}$$ and point-like matter, which are characterized by a scalar field-dependent matter coupling function $${e^{H(\varphi)}}$$ . We show that under mild constraints on the form of the potential for the scalar field, there are a broad class of Einstein-like gravity modelsâcharacterized by the asymptotic behavior of Hâwhich allow for a non-Newtonian weak-field limit with the gravitational potential behaving for large distances as ln r. The Newtonian term GM/r appears only as sub-leading. We point out that this behavior is also shared by gravity models described by f (R) Lagrangians. The relevance of our results for the building of infrared modified theories of gravity and for modified Newtonian dynamics is also discussed.
- Subjects
EINSTEIN field equations; GRAVITY; NON-Newtonian fluids; SCALAR field theory; CONSTRAINTS (Physics); ASYMPTOTIC expansions; GRAVITATIONAL fields
- Publication
General Relativity & Gravitation, 2010, Vol 42, Issue 1, p103
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-009-0820-z