### Abstract

Application of the AdS/CFT correspondence to the Randall-Sundrum models may predict that there is no static solution for black holes with a radius larger than the bulk curvature scale. When the black hole has an extremal horizon, however, the correspondence suggests that the black hole can stay static. We focus on the effects of cosmological constant on the brane on such extremal brane-localized black holes. We observe that the positive cosmological constant restricts the black hole size on the brane as in ordinary four-dimensional general relativity. The maximum black hole size differs from that in four-dimensional general relativity case due to the nonlinear term in the effective Einstein equation. In the negative cosmological constant case, we obtain an implication on the Newton constant in the Karch-Randall model.

Original language | English |
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Article number | 085029 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 82 |

Issue number | 8 |

DOIs | |

Publication status | Published - Oct 27 2010 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*82*(8), [085029]. https://doi.org/10.1103/PhysRevD.82.085029

**Extreme charged black holes in a braneworld with a cosmological constant.** / Suzuki, Ryotaku; Shiromizu, Tetsuya; Tanahashi, Norihiro.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 82, no. 8, 085029. https://doi.org/10.1103/PhysRevD.82.085029

}

TY - JOUR

T1 - Extreme charged black holes in a braneworld with a cosmological constant

AU - Suzuki, Ryotaku

AU - Shiromizu, Tetsuya

AU - Tanahashi, Norihiro

PY - 2010/10/27

Y1 - 2010/10/27

N2 - Application of the AdS/CFT correspondence to the Randall-Sundrum models may predict that there is no static solution for black holes with a radius larger than the bulk curvature scale. When the black hole has an extremal horizon, however, the correspondence suggests that the black hole can stay static. We focus on the effects of cosmological constant on the brane on such extremal brane-localized black holes. We observe that the positive cosmological constant restricts the black hole size on the brane as in ordinary four-dimensional general relativity. The maximum black hole size differs from that in four-dimensional general relativity case due to the nonlinear term in the effective Einstein equation. In the negative cosmological constant case, we obtain an implication on the Newton constant in the Karch-Randall model.

AB - Application of the AdS/CFT correspondence to the Randall-Sundrum models may predict that there is no static solution for black holes with a radius larger than the bulk curvature scale. When the black hole has an extremal horizon, however, the correspondence suggests that the black hole can stay static. We focus on the effects of cosmological constant on the brane on such extremal brane-localized black holes. We observe that the positive cosmological constant restricts the black hole size on the brane as in ordinary four-dimensional general relativity. The maximum black hole size differs from that in four-dimensional general relativity case due to the nonlinear term in the effective Einstein equation. In the negative cosmological constant case, we obtain an implication on the Newton constant in the Karch-Randall model.

UR - http://www.scopus.com/inward/record.url?scp=78650967067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650967067&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.085029

DO - 10.1103/PhysRevD.82.085029

M3 - Article

AN - SCOPUS:78650967067

VL - 82

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

M1 - 085029

ER -