# Anti-evaporation of Schwarzschild–de Sitter black holes in F(R) gravity

@article{Nojiri2013AntievaporationOS, title={Anti-evaporation of Schwarzschild–de Sitter black holes in F(R) gravity}, author={Shin’ichi Nojiri and Sergei D. Odintsov}, journal={Classical and Quantum Gravity}, year={2013}, volume={30} }

We studied the anti-evaporation of a degenerate Schwarzschild–de Sitter black hole (so-called Nariai space-time) in modified F(R) gravity. We analyze the perturbations in the Nariai black hole and find that anti-evaporation may occur in F(R) gravity even at a classical level. For several power-law F(R) gravities which may describe the inflation and/or dark energy eras, we presented the theory parameter bounds for the occurrence of anti-evaporation and conjectured creation of an infinite number…

## 72 Citations

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## References

SHOWING 1-10 OF 25 REFERENCES

### (Anti)evaporation of Schwarzschild-de Sitter black holes

- Physics
- 1998

We study the quantum evolution of black holes immersed in a de Sitter background space. For black holes whose size is comparable to that of the cosmological horizon, this process differs…

### Quantum evolution of Schwarzschild-de Sitter (Nariai) black holes

- Physics
- 1998

We calculate the one-loop effective action for conformal matter (scalars, spinors, and vectors) on spherically symmetric background. Such an effective action (in the large N approximation and…

### Nonlinear evolution of de Sitter space instabilities

- Physics
- 2000

We investigate the quantum evolution of large black holes that nucleate spontaneously in de Sitter space. By numerical computation in the s-wave and one-loop approximations, we verify claims that…

### Black Holes in f(R) theories

- Physics
- 2009

In the context of f(R) theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without…

### Instability of a rotating black hole in a limited form of f(R) gravity

- Physics
- 2011

We investigate the stability of $f(R)$-rotating (Kerr) black hole obtained from a limited form of $f(R)$ gravity. In order to avoid the difficulty of handling fourth order linearized equations, we…

### Stability analysis of f(R)-AdS black holes

- Physics
- 2011

We study the stability of the f(R)-AdS (Schwarzschild–AdS) black hole obtained from f(R) gravity. In order to resolve the difficulty of solving fourth-order linearized equations, we transform f(R)…

### Stability of f(R) black holes

- Physics
- 2011

We investigate the stability of an $f(R)$ (Schwarzschild) black hole obtained from the $f(R)$ gravity. It is difficult to carry out the perturbation analysis around the black hole because the…

### EFFECTIVE ACTION FOR CONFORMAL SCALARS AND ANTIEVAPORATION OF BLACK HOLES

- Physics
- 1999

We study the one-loop effective action for N 4D conformally invariant scalars on the spherically symmetric background. The main part of the effective action is given by integration of the 4D…

### Quantum Dilatonic Gravity in d=2,4 and 5 Dimensions

- Physics
- 2000

We review (mainly) quantum effects in the theories where the gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is…