Anti-Evaporation of Schwarzschild-de Sitter Black Holes in $F(R)$ gravity

Abstract

We studied the anti-evaporation of degenerate Schwarzschild-de Sitter black hole (so-called Nariai space-time) in modified $F(R)$ gravity. The analysis of perturbations of the Nariai black hole is done with the conclusion that anti-evaporation may occur in such a theory already on classical level. For several power-law $F(R)$ gravities which may describe the inflation and/or dark energy eras we presented the theory parameters bounds for occurrence of anti-evaporation and conjectured creation of infinite number of horizons.

LaTeX 6 pages, no figure, discussion enlarged, misprints are corrected

References in corpus (4)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Limit to General Relativity in f(R) theories of gravity
• Black hole entropy in modified gravity models
• Stability of f(R) black holes

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