BPS KerrAdS time machines
Abstract
It was recently observed that KerrAdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed timelike 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; FG0213ER42020
 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 10298479
 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 KerrAdS 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 KerrAdS time machines. United States. https://doi.org/10.1007/jhep07(2018)088
Cvetič, M., Geng, Wei Jian, Lü, H., and Pope, C. N. Thu .
"BPS KerrAdS time machines". United States. https://doi.org/10.1007/jhep07(2018)088. https://www.osti.gov/servlets/purl/1501477.
@article{osti_1501477,
title = {BPS KerrAdS time machines},
author = {Cvetič, M. and Geng, Wei Jian and Lü, H. and Pope, C. N.},
abstractNote = {It was recently observed that KerrAdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed timelike 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}
}
Web of Science
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