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Within the framework of the scalar-tensor models of gravitation and byrelying on analytical and numerical techniques, we establish the existence of aclass of spherically symmetric spacetimes containing a naked singularity. Ourresult relies on and extends a work by Christodoulou on the existence of nakedsingularities for the Einstein-scalar field equations. We establish that a keyparameter in Christodoulou's construction couples to the Brans-Dicke field andbecomes a dynamical variable, which enlarges and modifies the phase space ofsolutions. We recover analytically many properties first identified byChristodoulou, in particular the loss of regularity (especially at the center),and then investigate numerically the properties of these spacetimes.

Existence of naked singularities in Brans-Dicke theory of gravitation. An analytical and numerical study