Evaporation and anti-evaporation instability of a Schwarzschild-de Sitter braneworld: the case of five-dimensional F(R) gravity

Abstract

We study the problem of a four-dimensional brane lying in the five-dimensional degenerate Schwarzschild-de Sitter (Nariai) black hole, in five-dimensional $F(R)$-gravity. We show that there cannot exist the brane in the Nariai bulk space except the case that the brane tension vanishes. We demonstrate that the five-dimensional Nariai bulk is unstable in a large region of the parameter space. In particular, the Nariai bulk can have classical (anti-)evaporation instabilities. The bulk instability back-reacts on the four-dimensional brane, in case that the brane tension vanishes, and the unstable modes propagate in their world-volume.

10 pages, version accepted (to appear) in PRD

References in corpus (4)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Junction Conditions in f(R) Theories of Gravity
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Spherically symmetric brane spacetime with bulk $f(\mathcal{R})$ gravity

Cited by in corpus (3)

• Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
• Thermodynamic topology of black Holes in f(R) gravity
• Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity