On the fate of singularities and horizons in higher derivative gravity

Details On the fate of singularities and horizons in higher derivative gravity On the fate of singularities and horizons in higher derivative gravity

2002-06-24

arxiv.org/abs/hep-th/0206219v2

Phys.Rev.D66:084010,2002

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 3 figures, improvements and references added, to appear in PRD

Scientific paper

10.1103/PhysRevD.66.084010

We study static spherically symmetric solutions of high derivative gravity theories, with 4, 6, 8 and even 10 derivatives. Except for isolated points in the space of theories with more than 4 derivatives, only solutions that are nonsingular near the origin are found. But these solutions cannot smooth out the Schwarzschild singularity without the appearance of a second horizon. This conundrum, and the possibility of singularities at finite r, leads us to study numerical solutions of theories truncated at four derivatives. Rather than two horizons we are led to the suggestion that the original horizon is replaced by a rapid nonsingular transition from weak to strong gravity. We also consider this possibility for the de Sitter horizon.

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