# 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…

## 68 Citations

### The fate of Schwarzschild-de Sitter Black Holes in $f(R)$ gravity

- Physics
- 2016

The semiclassical effects of antievaporating black holes can be discussed in the framework of $f(R)$ gravity. In particular, the Bousso-Hawking-Nojiri-Odinstov antievaporation instability of…

### Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity

- Physics
- 2016

In this paper, we study under which conditions the Reissner–Nordstrom anti-de Sitter black hole can be a solution of the vacuum mimetic F ( R ) gravity with Lagrange multiplier and mimetic scalar…

### (Anti)evaporation of Dyonic Black Holes in string-inspired dilaton $f(R)$-gravity

- Physics
- 2016

We discuss dyonic black hole solutions in the case of $f(R)$-gravity coupled with a dilaton and two gauge bosons. The study of such a model is highly motivated from string theory. Our Black Hole…

### Instabilities and anti-evaporation of Reissner–Nordström black holes in modified F(R) gravity

- Physics
- 2014

### Evaporation and Antievaporation Instabilities

- PhysicsSymmetry
- 2017

The purpose of this review is to provide an introduction to conceptual and technical aspects of (anti)evaporation effects, while discussing problems that are still open.

### A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity

- Physics
- 2016

In this brief note we investigate the conditions under which a Schwarzschild de Sitter black hole spacetime is a solution of the mimetic $F(R)$ gravity with Lagrange multiplier and potential. As we…

### Suppression of Bekenstein-Hawking radiation in $f(T)$-gravity

- Physics
- 2017

We discuss semiclassical Nariai black holes in the framework of $f(T)$-gravity. For a diagonal choice of tetrades, stable Nariai metrics can be found, emitting Bekenstein-Hawking radiation in…

### Extremal Cosmological Black Holes in Horndeski Gravity and the Anti-Evaporation Regime

- PhysicsUniverse
- 2020

Extremal cosmological black holes are analysed in the framework of the most general second order scalar-tensor theory, the so-called Horndeski gravity. Such extremal black holes are a particular case…

### Anti-Evaporation of Black Holes in Bigravity

- Physics
- 2015

We review properties of solutions in bigravity theory for a specific case where two metric tensors, \(g_{\mu \nu}\) and \(f_{\mu \nu}\), satisfy proportional relation \(f_{\mu \nu}=C^{2}g_{\mu…

## References

SHOWING 1-10 OF 36 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…

### Black hole entropy in modified-gravity models

- Physics
- 2008

An analysis of some modified-gravity models, based on the study of pure Schwarzschild and of Schwarzschild-de Sitter black holes, and involving the use of the Noether charge method, is carried out.…

### 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…