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

Abstract

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.

26 pages, PACS numbers: 04.20.Dw, 04.25.dc, 04.50.Kd

References in corpus (12)

• Critical phenomena in gravitational collapse
• The Choptuik spacetime as an eigenvalue problem
• Relativistic stars in f(R) gravity
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• Black Hole Criticality in the Brans-Dicke Model
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Cited by in corpus (12)

• Equilibrium configurations from gravitational collapse
• Collapse and dispersal of a homogeneous spin fluid in Einstein-Cartan theory
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Non-singular Brans-Dicke collapse in deformed phase space
• Massless Charged Particles, Naked Singularity, and Generalized Uncertainty Principle in Reissner-Nordström-de Sitter-like spacetime
• Trapped surfaces and nature of singularities in Lyra's geometry
• Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes
• Null Fluid collapse in Rastall theory of gravity
• Gravitational collapse of anisotropic stars
• Non-Singular Collapse Scenario From Matter-Curvature Coupling
• Influence of intrinsic spin in the formation of singularities for inhomogeneous effective dust space-times
• Gravitational collapse of a spherical scalar field