Horizons and singularity in Clifton's spherical solution of f(R) vacuum

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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12 pages, LaTeX, 1 figure. Written for the proceedings of the workshop "Cosmology, Quantum Vacuum and Zeta Functions" in honou

Scientific paper

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+\delta) 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.

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