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Title: 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:
 [1];  [2]; ORCiD logo [3];  [4]
  1. Beijing Normal Univ., Beijing (China). Dept. of Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
  2. Beijing Normal Univ., Beijing (China). Dept. of Physics
  3. Tianjin Univ., Tianjin (China). Dept. of Physics
  4. 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: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: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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