An Einstein-like theory of gravity with a non-newtonian weak-field limit

Details An Einstein-like theory of gravity with a non-newtonian weak-field limit An Einstein-like theory of gravity with a non-newtonian weak-field limit

2003-12-09

arxiv.org/abs/gr-qc/0312054v3

Gen.Rel.Grav.36:2681-2688,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version, accepted for publication on General Relativity and Gravitation

Scientific paper

10.1023/B:GERG.0000048982.05514.

We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as \ln r . The Newtonian term GM/r appears only as subleading. Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter. This can be achieved only by giving up at galactic scales Einstein equivalence principle.

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