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Gedanken experiments to destroy a BTZ black hole

Ning, Bo and Chen, Baoyi and Lin, Feng-Li (2019) Gedanken experiments to destroy a BTZ black hole. Physical Review D, 100 (4). Art. No. 044043. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20190823-111828521

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Abstract

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 AdS_3. 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/CFTcorrespondence, 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.100.044043DOIArticle
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.044043PublisherArticle
https://arxiv.org/abs/1902.00949arXivDiscussion Paper
ORCID:
AuthorORCID
Lin, Feng-Li0000-0002-4277-7219
Additional Information:© 2019 American Physical Society. Received 15 February 2019; published 23 August 2019. B. N. thanks Hong-Bao Zhang for very helpful discussions. We also thank for the anonymous referee for useful suggestions while helping us modify the paper. B. C. acknowledges the support from the Brinson Foundation, the Simons Foundation (Grant No. 568762), and the National Science Foundation, Grants No. PHY-1708212 and No. PHY-1708213. F. L. L. is supported by Taiwan Ministry of Science and Technology through Grant No. 103-2112-M-003-001-MY3. B. N. is supported by the National Natural Science Foundation of China with Grant No. 11505119.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Brinson FoundationUNSPECIFIED
Simons Foundation568762
NSFPHY-1708212
NSFPHY-1708213
Ministry of Science and Technology (Taipei)103-2112-M-003-001-MY3
National Natural Science Foundation of China11505119
Issue or Number:4
Record Number:CaltechAUTHORS:20190823-111828521
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190823-111828521
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98176
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Aug 2019 18:28
Last Modified:09 Mar 2020 13:19

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