### 摘要

We consider Gedanken experiments to destroy an extremal or near-extremal Banados-Teitelboim-Zanelli (BTZ) black hole by throwing matter into the horizon. These black holes are vacuum solutions to (2+1)-dimensional gravity theories, and are asymptotically AdS3. Provided the null energy condition for the falling matter, we prove the following - (i) in a Mielke-Baekler model without ghost fields, when torsion is present, an extremal BTZ black hole can be overspun and becomes a naked conical singularity; (ii) in three-dimensional Einstein gravity and chiral gravity, which both live in the torsionless limits of the Mielke-Baekler model, an extremal BTZ black hole cannot be overspun; and (iii) in both Einstein gravity and chiral gravity, a near-extremal BTZ black hole cannot be overspun, leaving the weak cosmic censorship preserved. To obtain these results, we follow the analysis of Sorce and Wald on their Gedanken experiments to destroy a Kerr-Newman black hole, and calculate the second order variation of the black hole mechanics. Furthermore, Wald's type of Gedanken experiments provide an operational procedure of proving the third law of black hole dynamics. Through the AdS/CFT correspondence, our results on BTZ black holes also indicate that a third law of thermodynamics holds for the holographic conformal field theories dual to three-dimensional Einstein gravity and chiral gravity.

原文 | 英語 |
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文章編號 | 044043 |

期刊 | Physical Review D |

卷 | 100 |

發行號 | 4 |

DOIs | |

出版狀態 | 已發佈 - 2019 八月 23 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

## 指紋 深入研究「Gedanken experiments to destroy a BTZ black hole」主題。共同形成了獨特的指紋。

## 引用此

*Physical Review D*,

*100*(4), [044043]. https://doi.org/10.1103/PhysRevD.100.044043