Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-08-25
Class.Quant.Grav.27:245010,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages, PACS numbers: 04.20.Dw, 04.25.dc, 04.50.Kd
Scientific paper
10.1088/0264-9381/27/24/245010
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, which enlarges and modifies the phase space of solutions. We recover analytically many properties first identified by Christodoulou, in particular the loss of regularity (especially at the center), and then investigate numerically the properties of these spacetimes.
Bedjaoui Nabil
LeFloch Philippe G.
Martin-Garcia Jose M.
Novak Jerome
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