BPS Kerr-AdS time machines
Abstract
It was recently observed that Kerr-AdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed time-like curves can arise, bounded by a velocity of light surface. Such spacetimes are sometimes known as time machines. In this paper we study the BPS limit of these metrics, and find that the mass and angular momenta become discretised. The completeness of the spacetime also requires that the asymptotic time coordinate be periodic, with precisely the same period as that which arises naturally for the global AdS, viewed as a hyperboliod in one extra dimension, in which the time machine spacetime is immersed. For the case of equal angular momenta in odd dimensions, we construct the Killing spinors explicitly, and show they are consistent with the global structure. Thus in examples where the solutions can be embedded in gauged supergravity, they will be supersymmetric. As a result, we also compare the global structure of the BPS AdS3 time machine with the BTZ black hole, and show that the global structure allows two different supersymmetric limits.
- Authors:
-
- Beijing Normal Univ., Beijing (China). Dept. of Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
- Beijing Normal Univ., Beijing (China). Dept. of Physics
- Tianjin Univ., Tianjin (China). Dept. of Physics
- Beijing Normal Univ., Beijing (China). Dept. of Physics; Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Inst. for Fundamental Physics and Astronomy; Cambridge Univ., Cambridge (United Kingdom). Centre for Mathematical Sciences
- Publication Date:
- Research Org.:
- Texas A&M Univ., College Station, TX (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1501477
- Grant/Contract Number:
- SC0010813; SC0013528; FG02-13ER42020
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Classical Theories of Gravity; Supersymmetry and Duality
Citation Formats
Cvetič, M., Geng, Wei -Jian, Lü, H., and Pope, C. N. BPS Kerr-AdS time machines. United States: N. p., 2018.
Web. doi:10.1007/jhep07(2018)088.
Cvetič, M., Geng, Wei -Jian, Lü, H., & Pope, C. N. BPS Kerr-AdS time machines. United States. doi:https://doi.org/10.1007/jhep07(2018)088
Cvetič, M., Geng, Wei -Jian, Lü, H., and Pope, C. N. Thu .
"BPS Kerr-AdS time machines". United States. doi:https://doi.org/10.1007/jhep07(2018)088. https://www.osti.gov/servlets/purl/1501477.
@article{osti_1501477,
title = {BPS Kerr-AdS time machines},
author = {Cvetič, M. and Geng, Wei -Jian and Lü, H. and Pope, C. N.},
abstractNote = {It was recently observed that Kerr-AdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed time-like curves can arise, bounded by a velocity of light surface. Such spacetimes are sometimes known as time machines. In this paper we study the BPS limit of these metrics, and find that the mass and angular momenta become discretised. The completeness of the spacetime also requires that the asymptotic time coordinate be periodic, with precisely the same period as that which arises naturally for the global AdS, viewed as a hyperboliod in one extra dimension, in which the time machine spacetime is immersed. For the case of equal angular momenta in odd dimensions, we construct the Killing spinors explicitly, and show they are consistent with the global structure. Thus in examples where the solutions can be embedded in gauged supergravity, they will be supersymmetric. As a result, we also compare the global structure of the BPS AdS3 time machine with the BTZ black hole, and show that the global structure allows two different supersymmetric limits.},
doi = {10.1007/jhep07(2018)088},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}
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