Horizons and singularity in Clifton's spherical solution of f(R) vacuum
arXiv:1005.5397 · doi:10.1007/978-3-642-19760-4_16
Abstract
Due to the failure of Birkhoff's theorem, black holes in f(R) gravity theories in which an effective time-varying cosmological "constant" is present are, in general, dynamical. Clifton's exact spherical solution of R^(1+δ) gravity, which is dynamical and describes a central object embedded in a spatially flat universe, is studied. It is shown that apparent black hole horizons disappear and a naked singularity emerges at late times.
12 pages, LaTeX, 1 figure. Written for the proceedings of the workshop "Cosmology, Quantum Vacuum and Zeta Functions" in honour of Professor Emilio Elizalde's 60th birthday, Barcelona, March 8-10, 2010,
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