Clifton's spherical solution in f(R) vacuo harbours a naked singularity

Abstract

Clifton's exact solution of f(R)=R^(1+δ) gravity describing a dynamical spherical metric which is asymptotically Friedmann-Lemaitre-Robertson-Walker is studied. It is shown that it harbours a strong spacetime singularity and that this singularity is naked at late times.

7 pages, 1 figure, latex. To appear in Class. Quantum Grav. List of references updated

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• Modified Gravity and Cosmology
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Jebsen-Birkhoff theorem in alternative gravity
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• Searching for dynamical black holes in various theories of gravity
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• Embedding black holes and other inhomogeneities in the universe in various theories of gravity: a short review