# Existence of naked singularities in the Brans–Dicke theory of gravitation. An analytical and numerical study

@inproceedings{Bedjaoui2010ExistenceON, title={Existence of naked singularities in the Brans–Dicke theory of gravitation. An analytical and numerical study}, author={Nabil Bedjaoui and Philippe G. LeFloch and Jos{\'e} M. Mart{\'i}n-Garc{\'i}a and J'erome Novak}, year={2010} }

Within the framework of the scalar-tensor models of gravitation and by relying on analytical and numerical techniques, we establish the existence of a class of spherically symmetric spacetimes containing a naked singularity. Our result relies on and extends a work by Christodoulou on the existence of naked singularities for the Einstein-scalar field equations. We establish that a key parameter in Christodoulou's construction couples to the Brans-Dicke field and becomes a dynamical variable… CONTINUE READING

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