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On the linear and weak-field limits of scalar-tensor theories of gravity

Marcelo Salgado
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Abstract

The linear approximation of scalar-tensor theories of gravity is obtained in the physical (Jordan) frame under the 4+0 (covariant) and 3+1 formalisms. Then the weak-field limit is analyzed and the conditions leading to significant deviations of the $1/r^{2}$ Newton's law of gravitation are discussed. Finally, the scalarization effects induced by these theories in extended objects are confronted within the weak-field limit.

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Marcelo Salgado. 2002-02-21. On the linear and weak-field limits of scalar-tensor theories of gravity. https://arxiv.org/abs/gr-qc/0202082

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