
We point out that extended gravity theories, the Lagrangian of which is an arbitrary function of scalar curvature $R$, are equivalent to a class of the scalar tensor theories of gravity. The corresponding gravity theory is $ω=0$ Brans-Dicke gravity with a potential for the Brans-Dicke scalar field, which is not compatible with solar system experiments if the field is very light: the case when such modifications are important recently.
4 pages, to appear in PLB
scalar-curvature dependence, Nuclear and High Energy Physics, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Brans-Dicke scalar field, Astrophysics (astro-ph), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Astrophysics, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, General Relativity and Quantum Cosmology
scalar-curvature dependence, Nuclear and High Energy Physics, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Brans-Dicke scalar field, Astrophysics (astro-ph), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Astrophysics, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, General Relativity and Quantum Cosmology
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