Gedanken experiments to destroy a BTZ black hole

Bo Ning, Baoyi Chen, Feng Li Lin

研究成果: 雜誌貢獻文章

1 引文 斯高帕斯(Scopus)

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
文章編號044043
期刊Physical Review D
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)

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