Collapse and dispersal in massless scalar field models

Abstract

The phenomena of collapse and dispersal for a massless scalar field has drawn considerable interest in recent years, mainly from a numerical perspective. We give here a sufficient condition for the dispersal to take place for a scalar field that initially begins with a collapse. It is shown that the change of the gradient of the scalar field from a timelike to a spacelike vector must be necessarily accompanied by the dispersal of the scalar field. This result holds independently of any symmetries of the spacetime. We demonstrate the result explicitly by means of an example, which is the scalar field solution given by Roberts. The implications of the result are discussed.

revised version, Accepted for publication in Int. Journ. of Mod. Phys. D, 6 pages, 3 figures

References in corpus (1)

• Critical phenomena in gravitational collapse

Cited by in corpus (12)

• Equilibrium configurations from gravitational collapse
• Semiclassical dynamics of horizons in spherically symmetric collapse
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Three parameter metrics in the presence of a scalar field in four and higher dimensions
• Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling
• Gravitational collapse with tachyon field and barotropic fluid
• Trapped surfaces and nature of singularities in Lyra's geometry
• Null Fluid collapse in Rastall theory of gravity
• Gravitational collapse of anisotropic stars
• Spacetime Singularities in Generalized Brans-Dicke Theories
• Gravitational collapse of a spherical scalar field
• A Generalized Class of Taub-NUT-Scalar Metrics