### Abstract

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational coupling parameters. The evolution of the couplings is determined by their corresponding renormalization group now equations. These black holes exhibit properties of a classical Schwarzschild solution at large length scales. At the center, the metric factor remains smooth but the curvature singularity, while softened by the quantum corrections, persists. The solutions have an outer event horizon and an inner Cauchy horizon which equate when the physical mass decreases to a critical value. Super-extremal solutions with masses below the critical value correspond to naked singularities. The Hawking temperature of the black hole vanishes when the physical mass reaches the critical value. Hence, the black holes in the asymptotically safe gravitational theory never completely evaporate. For appropriate values of the parameters such stable black hole remnants make excellent dark matter candidates.

Original language | English (US) |
---|---|

Article number | 002 |

Journal | Journal of Cosmology and Astroparticle Physics |

Volume | 2010 |

Issue number | 9 |

DOIs | |

State | Published - Sep 3 2010 |

### Fingerprint

### Keywords

- Dark matter theory
- Gr black holes
- Modified gravity
- Quantum black holes

### ASJC Scopus subject areas

- Astronomy and Astrophysics

### Cite this

**Black holes in an asymptotically safe gravity theory with higher derivatives.** / Cai, Yi Fu; Easson, Damien.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Black holes in an asymptotically safe gravity theory with higher derivatives

AU - Cai, Yi Fu

AU - Easson, Damien

PY - 2010/9/3

Y1 - 2010/9/3

N2 - We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational coupling parameters. The evolution of the couplings is determined by their corresponding renormalization group now equations. These black holes exhibit properties of a classical Schwarzschild solution at large length scales. At the center, the metric factor remains smooth but the curvature singularity, while softened by the quantum corrections, persists. The solutions have an outer event horizon and an inner Cauchy horizon which equate when the physical mass decreases to a critical value. Super-extremal solutions with masses below the critical value correspond to naked singularities. The Hawking temperature of the black hole vanishes when the physical mass reaches the critical value. Hence, the black holes in the asymptotically safe gravitational theory never completely evaporate. For appropriate values of the parameters such stable black hole remnants make excellent dark matter candidates.

AB - We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational coupling parameters. The evolution of the couplings is determined by their corresponding renormalization group now equations. These black holes exhibit properties of a classical Schwarzschild solution at large length scales. At the center, the metric factor remains smooth but the curvature singularity, while softened by the quantum corrections, persists. The solutions have an outer event horizon and an inner Cauchy horizon which equate when the physical mass decreases to a critical value. Super-extremal solutions with masses below the critical value correspond to naked singularities. The Hawking temperature of the black hole vanishes when the physical mass reaches the critical value. Hence, the black holes in the asymptotically safe gravitational theory never completely evaporate. For appropriate values of the parameters such stable black hole remnants make excellent dark matter candidates.

KW - Dark matter theory

KW - Gr black holes

KW - Modified gravity

KW - Quantum black holes

UR - http://www.scopus.com/inward/record.url?scp=78449276805&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78449276805&partnerID=8YFLogxK

U2 - 10.1088/1475-7516/2010/09/002

DO - 10.1088/1475-7516/2010/09/002

M3 - Article

AN - SCOPUS:78449276805

VL - 2010

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 9

M1 - 002

ER -