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

Mariano Cadoni
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Abstract

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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Mariano Cadoni. 2004-09-21. An Einstein-like theory of gravity with a non-newtonian weak-field limit. https://doi.org/10.1023/b%3Agerg.0000048982.05514.18

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