Spherically symmetric collapse of a perfect fluid in f(R) gravity

Abstract

The present work investigates the gravitational collapse of a perfect fluid in $f(R)$ gravity models. For a general $f(R)$ theory, it is shown analytically that a collapse is quite possible. The singularity formed as a result of the collapse is found to be a curvature singularity of shell focusing type. The possibility of the formation of an apparent horizon hiding the central singularity depends on the initial conditions.

8 pages, no figure; accepted for publication in GRG journal

References in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• Junction Conditions in f(R) Theories of Gravity
• Collapsing spherical stars in f(R) gravity
• Gravitational Perfect Fluid Collapse 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
• Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
• Jebsen-Birkhoff theorem and its stability in f(R) gravity

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• Gravitational collapse of massless scalar field in $f(R)$ gravity
• Scalar field collapse in Gauss-Bonnet gravity
• Scalar Field Collapse with an exponential potential
• Collapse in $f(R)$ gravity and the method of $R$ matching
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse
• Electromagnetic effect on anisotropic scalar field collapse in higher curvature gravity
• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity
• Formation of Singularity and Apparent Horizon for Dissipative Collapse in $f(R,T)$ Theory of Gravity