Gravitational collapse in f(R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector

Abstract

The gravitational collapse of a spherical distribution, in a class of f(R) theories of gravity, where f(R) is power function of R, is discussed. The spacetime is assumed to admit a homothetic Killing vector. In the collapsing modes, some of the situations indeed hit a singularity, but they are all covered with an apparent horizon. Some peculiar cases are observed where the collapsing body settles to a constant radius at a given value of the radial coordinate.

11 pages, 10 figures

References in corpus (3)

• Junction Conditions in f(R) Theories of Gravity
• Collapsing spherical stars in f(R) gravity
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy

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• Gravitationally collapsing stars in $f(R)$ gravity
• Spherical doubly warped spacetimes for radiating stars and cosmology
• Scalar Field Collapse with an exponential potential
• An Eternal gravitational collapse in $f(R)$ theory of gravity and their astrophysical implications