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From Brans-Dicke gravity to a geometrical scalar-tensor theory

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arxiv 1311.5459 v1 pith:GOO75KXO submitted 2013-11-21 gr-qc

From Brans-Dicke gravity to a geometrical scalar-tensor theory

classification gr-qc
keywords theorybrans-dickefieldgeometricalgravityscalarscalar-tensorapproach
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We consider an approach to Brans-Dicke theory of gravity in which the scalar field has a geometrical nature. By postulating the Palatini variation, we find out that the role played by the scalar field consists in turning the space-time geometry into a Weyl integrable manifold. This procedure leads to a scalar-tensor theory that differs from the original Brans-Dicke theory in many aspects and presents some new features.

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