Gravitational collapse of homogeneous perfect fluid in HOG theories

Abstract

This paper investigates the evolution of collapsing FRW models with a scalar field having the potential which arises in the conformal frame of high order gravity theories, coupled to matter described by a perfect fluid with energy density $\rho$ and pressure $p$, obeying a barotropic equation of state. The solutions are shown to evolve generically to a singular state in a finite time and they are used as sources for radiating objects undergoing complete gravitational collapse. Although these singularities may be naked in some special case, it is shown that generically a black hole forms.

LaTeX2e, 13 pages, 10 figures, to appear on J. Math. Phys

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• The (pseudo)issue of the conformal frame revisited
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• Global models of collapsing scalar field: endstate